id sid eid entity type cana-3960 1 1 1074 CARDINAL cana-3960 1 2 32 CARDINAL cana-3960 2 1 9s CARDINAL cana-3960 2 2 2025 CARDINAL cana-3960 3 1 493 CARDINAL cana-3960 3 2 a. sreenivasulu1* PERSON cana-3960 4 1 pallavi2 GPE cana-3960 4 2 gudala balaji prakash3 ORG cana-3960 4 3 m. srinivasa reddy4 PERSON cana-3960 4 4 j peter praveen5 PERSON cana-3960 4 5 koneru lakshmaiah education foundation ORG cana-3960 4 6 guntur-522302 DATE cana-3960 4 7 andhra pradesh ORG cana-3960 4 8 india GPE cana-3960 5 1 2department TIME cana-3960 5 2 raju institute of technology ORG cana-3960 5 3 narsapur ORG cana-3960 5 4 502313 DATE cana-3960 5 5 telangana GPE cana-3960 5 6 india GPE cana-3960 6 1 3department CARDINAL cana-3960 6 2 aditya university ORG cana-3960 6 3 surampalem GPE cana-3960 6 4 533437 DATE cana-3960 6 5 andhra pradesh ORG cana-3960 6 6 india GPE cana-3960 7 1 4freshman CARDINAL cana-3960 7 2 lakireddy bali reddy college of engineering ORG cana-3960 7 3 india GPE cana-3960 8 1 5vignan institute of information technology ORG cana-3960 8 2 duvvada GPE cana-3960 8 3 inida GPE cana-3960 9 1 lakshmipallavi.p@bvrit.ac.in DATE cana-3960 10 1 12-11-2024 CARDINAL cana-3960 10 2 17 CARDINAL cana-3960 10 3 06-01-2025 CARDINAL cana-3960 18 1 93b05 CARDINAL cana-3960 18 2 93b07,39a12 DATE cana-3960 18 3 18a40 DATE cana-3960 18 4 34n05 CARDINAL cana-3960 19 1 1 CARDINAL cana-3960 25 1 mailto:bvardr2010@kluniversity.in mailto:lakshmipallavi.p@bvrit.ac.in mailto:balajiprakashgudala@gmail.com ORG cana-3960 25 2 mailto:jppraveen17@gmail.com ORG cana-3960 25 3 1074 CARDINAL cana-3960 25 4 32 CARDINAL cana-3960 27 1 9s CARDINAL cana-3960 27 2 2025 CARDINAL cana-3960 27 3 494 CARDINAL cana-3960 31 1 4 CARDINAL cana-3960 31 2 newell-whitehead-segel ORG cana-3960 32 1 5 CARDINAL cana-3960 33 1 6 CARDINAL cana-3960 34 1 8 CARDINAL cana-3960 34 2 second ORDINAL cana-3960 35 1 9 CARDINAL cana-3960 36 1 linear ORG cana-3960 36 2 10 CARDINAL cana-3960 39 1 11 CARDINAL cana-3960 40 1 13 CARDINAL cana-3960 41 1 14 CARDINAL cana-3960 42 1 15 CARDINAL cana-3960 45 1 1,2,3 CARDINAL cana-3960 45 2 𝑋0 PRODUCT cana-3960 46 1 1.1 CARDINAL cana-3960 46 2 mΓ— ORG cana-3960 47 1 πΏπ‘˜ PERSON cana-3960 48 1 c(t ORG cana-3960 49 1 π‘‹βˆ†(𝑑 DATE cana-3960 50 1 1.1 CARDINAL cana-3960 51 1 2 CARDINAL cana-3960 52 1 6 CARDINAL cana-3960 53 1 π•‹π‘˜ = 𝕋{π‘šπ‘Žπ‘₯𝕋 PERSON cana-3960 53 2 π‘šπ‘Žπ‘₯𝕋 GPE cana-3960 53 3 π•‹π‘˜ = 𝕋. definition 2.1[6 PERSON cana-3960 54 1 0 CARDINAL cana-3960 54 2 1074 CARDINAL cana-3960 54 3 32 CARDINAL cana-3960 55 1 9s CARDINAL cana-3960 55 2 2025 DATE cana-3960 55 3 495 CARDINAL cana-3960 56 1 βˆ’ 𝑓(𝑠 PERSON cana-3960 59 1 2.2.[7 CARDINAL cana-3960 59 2 y(t GPE cana-3960 59 3 as1+ πœ‡(𝑑)𝑦(𝑑 ORG cana-3960 60 1 1 + CARDINAL cana-3960 61 1 0 CARDINAL cana-3960 61 2 2.3[6 CARDINAL cana-3960 62 1 𝑓(𝑑 ORG cana-3960 64 1 2.4 CARDINAL cana-3960 64 2 𝐴 ∈ πΆπ‘šΓ—π‘›(β„π‘šΓ—π‘› ORG cana-3960 64 3 𝐡 ∈ ORG cana-3960 64 4 𝐴 βŠ— 𝐡 ORG cana-3960 66 1 2.5 CARDINAL cana-3960 69 1 1 ≀ QUANTITY cana-3960 69 2 kp NORP cana-3960 72 1 π‘‘π‘˜βˆ’1 ORG cana-3960 72 2 π‘‘π‘˜)𝕋 𝑧(π‘‘π‘˜ + FAC cana-3960 73 1 πΌπ‘›βŠ—π‘…π‘˜]𝑧(π‘‘π‘˜ ORG cana-3960 73 2 1,2,3 CARDINAL cana-3960 73 3 𝐼 βŠ— 𝐷) ORG cana-3960 74 1 2.1 CARDINAL cana-3960 74 2 z(t ORG cana-3960 74 3 = vec x(t PERSON cana-3960 74 4 = vec u(t PERSON cana-3960 76 1 π‘„βˆ—βŠ— 𝐼 + 𝐼 βŠ— PERSON cana-3960 79 1 2.1 CARDINAL cana-3960 81 1 π‘‘π‘˜βˆ’1 ORG cana-3960 81 2 π‘‘π‘˜)𝕋 𝑧(π‘‘π‘˜ + FAC cana-3960 82 1 πΌπ‘›βŠ—π‘…π‘˜]𝑧(π‘‘π‘˜ ORG cana-3960 82 2 1,2,3 CARDINAL cana-3960 82 3 𝐼 βŠ— π·π‘˜) ORG cana-3960 83 1 2.2 CARDINAL cana-3960 83 2 2.1.[3 CARDINAL cana-3960 84 1 x(t PERSON cana-3960 84 2 2.1 CARDINAL cana-3960 84 3 𝑧(𝑑 ORG cana-3960 84 4 2.1 CARDINAL cana-3960 85 1 𝐺 ∈ πΆπ‘Ÿπ‘‘β„› PRODUCT cana-3960 85 2 𝑀𝑛2×𝑛2(ℝ GPE cana-3960 86 1 ∈ πΆπ‘Ÿπ‘‘ ORG cana-3960 86 2 1074 CARDINAL cana-3960 86 3 32 CARDINAL cana-3960 87 1 9s CARDINAL cana-3960 87 2 2025 DATE cana-3960 87 3 496 CARDINAL cana-3960 88 1 + 𝑙(𝑑 PERSON cana-3960 88 2 z(Ο„ PERSON cana-3960 89 1 ℝ𝑛 2 ORG cana-3960 90 1 2.1.[7 CARDINAL cana-3960 91 1 𝐺 ∈ πΆπ‘Ÿπ‘‘β„› PRODUCT cana-3960 91 2 ∈ πΆπ‘Ÿπ‘‘ ORG cana-3960 91 3 + 𝑙(𝑑 PERSON cana-3960 91 4 z(Ο„ PERSON cana-3960 91 5 one CARDINAL cana-3960 91 6 only one CARDINAL cana-3960 91 7 ℝ𝑛 2 LOC cana-3960 91 8 𝑧(𝑑 ORG cana-3960 92 1 𝜎(𝑠))𝑙(𝑠)π›₯𝑠 NORP cana-3960 92 2 2.2.[7 CARDINAL cana-3960 93 1 𝐺 ∈ πΆπ‘Ÿπ‘‘β„› PRODUCT cana-3960 93 2 ∈ πΆπ‘Ÿπ‘‘ ORG cana-3960 93 3 + 𝑙(𝑑 PERSON cana-3960 93 4 z(Ο„ PERSON cana-3960 93 5 one CARDINAL cana-3960 93 6 only one CARDINAL cana-3960 93 7 ℝ𝑛 2 LOC cana-3960 93 8 𝑧(𝑑 ORG cana-3960 93 9 𝜎(𝑠))𝑙(𝑠)π›₯𝑠 𝑑 GPE cana-3960 94 1 2.1 CARDINAL cana-3960 95 1 8 CARDINAL cana-3960 95 2 2.2 CARDINAL cana-3960 95 3 πœ’1(𝑑 ORG cana-3960 96 1 only one CARDINAL cana-3960 96 2 3 CARDINAL cana-3960 96 3 3 CARDINAL cana-3960 97 1 3.1 CARDINAL cana-3960 98 1 ∈ ORG cana-3960 98 2 1,2 CARDINAL cana-3960 99 1 2.2 CARDINAL cana-3960 99 2 𝑧(𝑑 ORG cana-3960 100 1 πœ“πΊ1 𝑇 ORG cana-3960 101 1 1 𝑑 𝑑0 πœ“πΊπ‘™ MONEY cana-3960 102 1 π‘‘π‘—βˆ’1 ORG cana-3960 102 2 + 1 𝑗=π‘™βˆ’1 1 𝑗=π‘™βˆ’1 DATE cana-3960 102 3 π‘‘π‘—βˆ’1 ORG cana-3960 102 4 𝑖=π‘™βˆ’1 CARDINAL cana-3960 103 1 2,3 CARDINAL cana-3960 103 2 3.1 CARDINAL cana-3960 103 3 2.2 CARDINAL cana-3960 103 4 𝑑1]𝕋 GPE cana-3960 103 5 𝑧(𝑑 ORG cana-3960 104 1 πœ“πΊ1 𝑇 PRODUCT cana-3960 104 2 1074 CARDINAL cana-3960 104 3 32 CARDINAL cana-3960 105 1 9s CARDINAL cana-3960 105 2 2025 CARDINAL cana-3960 105 3 497 CARDINAL cana-3960 106 1 𝑧(𝑑 ORG cana-3960 107 1 πœ“πΊπ‘™ ORDINAL cana-3960 108 1 2.2 CARDINAL cana-3960 110 1 π‘‘π‘—βˆ’1 ORG cana-3960 110 2 1 𝑗=π‘™βˆ’1 1 DATE cana-3960 113 1 2,3 CARDINAL cana-3960 113 2 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 113 3 𝑧(𝑑 ORG cana-3960 114 1 πœ“πΊπ‘™ ORDINAL cana-3960 114 2 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 114 3 π‘‘π‘—βˆ’1 ORG cana-3960 114 4 1 𝑗=π‘™βˆ’1 1 DATE cana-3960 118 1 3.1 CARDINAL cana-3960 118 2 i. PERSON cana-3960 118 3 1,2 CARDINAL cana-3960 119 1 2 CARDINAL cana-3960 119 2 2.2 CARDINAL cana-3960 120 1 π‘‘π‘˜βˆ’1 ORG cana-3960 120 2 π‘‘π‘˜)𝕋 PERSON cana-3960 121 1 1,2 CARDINAL cana-3960 121 2 2.2 CARDINAL cana-3960 121 3 π‘‘π‘˜βˆ’1 ORG cana-3960 121 4 π‘‘π‘˜)𝕋 PERSON cana-3960 121 5 𝐻1 ORG cana-3960 123 1 1,2 CARDINAL cana-3960 125 1 1074 CARDINAL cana-3960 125 2 32 CARDINAL cana-3960 126 1 9s CARDINAL cana-3960 126 2 2025 DATE cana-3960 126 3 498 CARDINAL cana-3960 126 4 βˆ’π΄1 𝑇(𝑑)πœ“πΊ1(𝑑 ORG cana-3960 127 1 𝑑1]𝕋 GPE cana-3960 127 2 2 ≀ MONEY cana-3960 127 3 𝑇(𝑑)πœ“πΊπ‘˜(𝑑, GPE cana-3960 128 1 ∏ DATE cana-3960 128 2 πœ“πΊπ‘˜ ORG cana-3960 128 3 π‘‘π‘—βˆ’1 GPE cana-3960 129 1 π‘‘π‘˜βˆ’1 ORG cana-3960 129 2 π‘‘π‘˜)𝕋 0 PERSON cana-3960 131 1 π‘‘π‘˜βˆ’1 ORG cana-3960 131 2 π‘‘π‘˜)𝕋 ORG cana-3960 132 1 1 𝑗=π‘™βˆ’1 CARDINAL cana-3960 133 1 π‘‘π‘—βˆ’1 GPE cana-3960 133 2 1 𝑗=π‘™βˆ’1 DATE cana-3960 134 1 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 136 1 3.5 CARDINAL cana-3960 136 2 3.1 CARDINAL cana-3960 138 1 πœ“πΊ1 𝑇 PRODUCT cana-3960 138 2 πœ“πΊ1 𝑇 WORK_OF_ART cana-3960 138 3 𝑇(𝜏)πœ“πΊ1(𝜏 GPE cana-3960 138 4 3.2 CARDINAL cana-3960 138 5 𝑧(𝑑𝑓 PERSON cana-3960 139 1 πœ“πΊ1 𝑇 PRODUCT cana-3960 139 2 βˆ’π»1𝐻1 βˆ’1πœ“πΊ1 𝑇 PRODUCT cana-3960 140 1 𝑑1]𝕋 GPE cana-3960 140 2 2.2 CARDINAL cana-3960 140 3 2 ≀ π‘˜ ≀ QUANTITY cana-3960 140 4 π‘‘π‘˜βˆ’1 ORG cana-3960 140 5 π‘‘π‘˜)𝕋 PERSON cana-3960 140 6 𝑧(𝑑𝑓 PERSON cana-3960 140 7 πœ“πΊπ‘˜ ORG cana-3960 141 1 1 𝑗=π‘˜βˆ’1 CARDINAL cana-3960 141 2 ∏ DATE cana-3960 141 3 π‘‘π‘—βˆ’1 GPE cana-3960 141 4 𝑧0 βˆ’ ∫ πœ“πΊπ‘˜ 𝑇 ORG cana-3960 142 1 π‘‘π‘—βˆ’1 GPE cana-3960 142 2 1 𝑗=π‘˜βˆ’1 CARDINAL cana-3960 142 3 3.3 CARDINAL cana-3960 143 1 π‘‘π‘˜βˆ’1 ORG cana-3960 143 2 π‘‘π‘˜)𝕋 PERSON cana-3960 143 3 𝑧(𝑑𝑓 PERSON cana-3960 144 1 2.2 CARDINAL cana-3960 146 1 2.2 CARDINAL cana-3960 146 2 𝐻1 ORG cana-3960 146 3 𝐻1 ORG cana-3960 146 4 2 CARDINAL cana-3960 146 5 1074 CARDINAL cana-3960 146 6 32 CARDINAL cana-3960 148 1 9s CARDINAL cana-3960 148 2 2025 CARDINAL cana-3960 148 3 499 CARDINAL cana-3960 150 1 𝑇𝐻𝑗(π‘‘π‘—βˆ’1 GPE cana-3960 150 2 1,2 CARDINAL cana-3960 150 3 𝑇(𝜏)πœ“πΊ1(𝜏 GPE cana-3960 150 4 rd ORG cana-3960 151 1 2 CARDINAL cana-3960 151 2 0 CARDINAL cana-3960 151 3 𝐴1 𝑇(𝜏)πœ“πΊ1 𝑇 ORG cana-3960 152 1 3.6 CARDINAL cana-3960 152 2 2,3 CARDINAL cana-3960 153 1 π‘‡π»π‘˜π‘§π›Ό ORG cana-3960 154 1 π‘‡πœ“πΊπ‘˜ 𝑇 PERSON cana-3960 154 2 𝑇(𝜏)πœ“πΊπ‘˜(𝜏 PERSON cana-3960 154 3 0 CARDINAL cana-3960 154 4 π‘‡πœ“πΊπ‘˜ 𝑇 PERSON cana-3960 154 5 𝑑𝑓)π΄π‘˜(𝑑)π΄π‘˜ 𝑇(𝑑)πœ“πΊπ‘˜(𝑑 PERSON cana-3960 154 6 π‘‡πœ“πΊπ‘˜ 𝑇 PERSON cana-3960 154 7 2 CARDINAL cana-3960 154 8 π΄π‘˜ 𝑇(𝑑)πœ“πΊπ‘˜ 𝑇 PERSON cana-3960 155 1 π‘‘π‘˜βˆ’1 ORG cana-3960 155 2 π‘‘π‘˜)𝕋 PERSON cana-3960 155 3 3.7 CARDINAL cana-3960 155 4 𝐴𝑙 PERSON cana-3960 156 1 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 156 2 3.8 CARDINAL cana-3960 156 3 2.2 CARDINAL cana-3960 156 4 𝑑1]𝕋 GPE cana-3960 157 1 πœ“πΊ1 𝑇 PRODUCT cana-3960 157 2 πœ“πΊ1 𝑇 WORK_OF_ART cana-3960 157 3 1 CARDINAL cana-3960 157 4 3.9 CARDINAL cana-3960 157 5 3.9 CARDINAL cana-3960 157 6 3.6 CARDINAL cana-3960 157 7 πœ“πΊ1 𝑇 PRODUCT cana-3960 157 8 0 CARDINAL cana-3960 158 1 3.10 CARDINAL cana-3960 158 2 1074 CARDINAL cana-3960 158 3 32 CARDINAL cana-3960 159 1 9s CARDINAL cana-3960 159 2 2025 CARDINAL cana-3960 159 3 500 CARDINAL cana-3960 159 4 πœ“πΊπ‘™ ORDINAL cana-3960 159 5 1 𝑗=π‘™βˆ’1 CARDINAL cana-3960 159 6 π‘‘π‘—βˆ’1 GPE cana-3960 159 7 1 𝑗=π‘™βˆ’1 DATE cana-3960 160 1 𝑖=π‘™βˆ’1 DATE cana-3960 161 1 π‘‘π‘—βˆ’1 ORG cana-3960 162 1 2,3 CARDINAL cana-3960 162 2 3.11 CARDINAL cana-3960 162 3 πœ“πΊ1 𝑇 ORG cana-3960 162 4 𝑑2)πœ“πΊ2 𝑇 PERSON cana-3960 162 5 πœ“πΊπ‘˜ ORG cana-3960 162 6 3.11 CARDINAL cana-3960 162 7 3.7 CARDINAL cana-3960 162 8 3.8 CARDINAL cana-3960 162 9 3.12 CARDINAL cana-3960 162 10 3.10 CARDINAL cana-3960 162 11 3.12 CARDINAL cana-3960 162 12 𝑇𝑧𝛼 NORP cana-3960 164 1 𝐻1 ORG cana-3960 164 2 2 CARDINAL cana-3960 164 3 3.2 CARDINAL cana-3960 164 4 1,2 CARDINAL cana-3960 167 1 2.2 CARDINAL cana-3960 167 2 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 167 3 𝑀1 CARDINAL cana-3960 167 4 𝑀2 LOC cana-3960 167 5 3.13 CARDINAL cana-3960 169 1 1,2 CARDINAL cana-3960 169 2 2.2 CARDINAL cana-3960 169 3 3.13 CARDINAL cana-3960 169 4 ∈ CARDINAL cana-3960 170 1 β‰  0 PERSON cana-3960 170 2 0 CARDINAL cana-3960 171 1 3.14 CARDINAL cana-3960 171 2 j = 1 PERSON cana-3960 172 1 0,1 CARDINAL cana-3960 172 2 1 CARDINAL cana-3960 172 3 𝐴1𝐴1 𝑇𝑒𝐺1(𝜏 ORG cana-3960 172 4 𝑑𝑓)π‘§π›Όβˆ†πœ. PRODUCT cana-3960 172 5 3.14 CARDINAL cana-3960 172 6 2.1 CARDINAL cana-3960 172 7 1074 CARDINAL cana-3960 172 8 32 CARDINAL cana-3960 174 1 9s CARDINAL cana-3960 174 2 501 CARDINAL cana-3960 174 3 𝐴1𝐴1 𝑇 βˆ‘ πœ’1𝑖(𝜏 ORG cana-3960 174 4 𝐺1 CARDINAL cana-3960 175 1 𝐴1 CARDINAL cana-3960 175 2 π‘§π›Όβˆ†πœ ORG cana-3960 175 3 0 CARDINAL cana-3960 176 1 3.14 CARDINAL cana-3960 176 2 2.1 CARDINAL cana-3960 176 3 π‘‘π‘˜βˆ’1 π΄π‘˜π΄π‘˜ π‘‡π‘’πΊπ‘˜(𝜏 PERSON cana-3960 176 4 π‘‘π‘˜βˆ’1 π΄π‘˜ βˆ‘ πœ’1𝑖(𝜏 PERSON cana-3960 177 1 π‘§π›Όβˆ†πœ ORG cana-3960 177 2 0 CARDINAL cana-3960 178 1 2 ≀ π‘˜ ≀ QUANTITY cana-3960 178 2 0 CARDINAL cana-3960 178 3 𝑀1 DATE cana-3960 178 4 2 CARDINAL cana-3960 178 5 3.1 CARDINAL cana-3960 178 6 3.13 CARDINAL cana-3960 179 1 3.13 CARDINAL cana-3960 180 1 2.2 CARDINAL cana-3960 181 1 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 181 2 3.1 CARDINAL cana-3960 182 1 ∈ CARDINAL cana-3960 183 1 β‰  0 PERSON cana-3960 183 2 𝐴1𝐴1 𝑇𝑒𝐺1(𝜏 ORG cana-3960 183 3 0 CARDINAL cana-3960 183 4 π‘‡π»π‘˜(π‘‘π‘˜βˆ’1 ORG cana-3960 183 5 π‘‡π‘’πΊπ‘˜ ORG cana-3960 183 6 π‘‘π‘˜βˆ’1 π΄π‘˜π΄π‘˜ π‘‡π‘’πΊπ‘˜(𝜏 PERSON cana-3960 183 7 0 CARDINAL cana-3960 183 8 2 ≀ QUANTITY cana-3960 183 9 𝑇𝑒𝐺𝑙 PRODUCT cana-3960 184 1 0 CARDINAL cana-3960 184 2 3.1 CARDINAL cana-3960 184 3 𝐴1 𝑇𝑒𝐺1(𝑑 QUANTITY cana-3960 186 1 𝑑𝑓]𝕋 NORP cana-3960 186 2 3.15 CARDINAL cana-3960 189 1 3.16 CARDINAL cana-3960 189 2 2 ≀ QUANTITY cana-3960 189 3 𝐴𝑙 𝑇𝑒𝐺𝑙(𝑑 FAC cana-3960 191 1 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 191 2 3.17 CARDINAL cana-3960 191 3 3.13 CARDINAL cana-3960 191 4 3.14 CARDINAL cana-3960 191 5 3.15 CARDINAL cana-3960 191 6 0 ≀ MONEY cana-3960 191 7 1074 CARDINAL cana-3960 191 8 32 CARDINAL cana-3960 192 1 9s CARDINAL cana-3960 192 2 2025 CARDINAL cana-3960 193 1 502 CARDINAL cana-3960 196 1 3.18 CARDINAL cana-3960 199 1 3.19 CARDINAL cana-3960 199 2 2 ≀ QUANTITY cana-3960 199 3 𝐴𝑙 𝑇𝐺𝑙 𝑖𝑒𝐺𝑙(𝜏 PERSON cana-3960 201 1 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 201 2 3.20 CARDINAL cana-3960 201 3 3.18 CARDINAL cana-3960 201 4 3.19 CARDINAL cana-3960 201 5 3.20 CARDINAL cana-3960 202 1 1 CARDINAL cana-3960 203 1 0,1 CARDINAL cana-3960 203 2 1 CARDINAL cana-3960 203 3 3.11 CARDINAL cana-3960 204 1 2.1 CARDINAL cana-3960 204 2 𝑑𝑓]𝕋 NORP cana-3960 205 1 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 206 1 2.2 CARDINAL cana-3960 206 2 3.2 CARDINAL cana-3960 207 1 4 CARDINAL cana-3960 208 1 2.3 CARDINAL cana-3960 209 1 4.1 CARDINAL cana-3960 210 1 2.2 CARDINAL cana-3960 210 2 𝑑𝑓]𝕋 NORP cana-3960 210 3 𝑧0 ∈ PERSON cana-3960 211 1 y(t GPE cana-3960 211 2 4.1 CARDINAL cana-3960 211 3 1,2 CARDINAL cana-3960 211 4 2.2 CARDINAL cana-3960 211 5 𝑑𝑓]𝕋 NORP cana-3960 212 1 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 213 1 βˆ‘βˆ[πΌπ‘›βŠ—π‘…π‘–]π‘Š(𝑑0 GPE cana-3960 213 2 π‘‘π‘—βˆ’1 GPE cana-3960 213 3 π‘‘π‘™βˆ’1 PERSON cana-3960 213 4 𝑖=1 GPE cana-3960 213 5 π‘‘π‘—βˆ’1 GPE cana-3960 213 6 π‘‘π‘—βˆ’1 GPE cana-3960 213 7 2 CARDINAL cana-3960 215 1 π‘‘π‘—βˆ’1 ORG cana-3960 215 2 1 CARDINAL cana-3960 216 1 2.2 CARDINAL cana-3960 216 2 3.1 CARDINAL cana-3960 217 1 𝑑𝑓]𝕋 NORP cana-3960 217 2 1074 CARDINAL cana-3960 217 3 32 CARDINAL cana-3960 218 1 9s CARDINAL cana-3960 218 2 2025 CARDINAL cana-3960 218 3 503 CARDINAL cana-3960 218 4 πœ“πΊ1 𝑇 WORK_OF_ART cana-3960 218 5 𝑑)𝐴1(𝜏)π‘ˆ(𝑑)βˆ†πœ 𝑑1 𝑑0 + GPE cana-3960 218 6 4.1 CARDINAL cana-3960 218 7 π‘‘π‘˜]𝕋 ORG cana-3960 218 8 2,3 CARDINAL cana-3960 218 9 iβŠ—πΆπ‘˜)(𝑑)πœ“πΊπ‘˜ NORP cana-3960 219 1 1 𝑗=π‘˜βˆ’1 CARDINAL cana-3960 219 2 ∏ DATE cana-3960 219 3 π‘‘π‘—βˆ’1 GPE cana-3960 219 4 1 𝑗=π‘˜βˆ’1 CARDINAL cana-3960 219 5 𝑧0(iβŠ—πΆπ‘˜)(𝑑 ORG cana-3960 221 1 π‘‘π‘—βˆ’1 GPE cana-3960 221 2 π‘‘π‘˜βˆ’1 ORG cana-3960 222 1 πœ“πΊπ‘˜ ORG cana-3960 222 2 iβŠ—π·π‘˜) GPE cana-3960 222 3 4.2 CARDINAL cana-3960 222 4 4.1 CARDINAL cana-3960 222 5 2.2 CARDINAL cana-3960 222 6 iβŠ—πΆπ‘˜)(𝑑)πœ“πΊπ‘˜ NORP cana-3960 222 7 𝑑1]𝕋 GPE cana-3960 223 1 π‘‘π‘˜]𝕋 ORG cana-3960 223 2 2,3 CARDINAL cana-3960 223 3 4.3 CARDINAL cana-3960 223 4 0 CARDINAL cana-3960 223 5 4.3 CARDINAL cana-3960 223 6 𝐼𝐼 ORG cana-3960 224 1 𝐼1 𝐼0 QUANTITY cana-3960 225 1 𝑖=1 GPE cana-3960 226 1 1074 CARDINAL cana-3960 226 2 32 CARDINAL cana-3960 228 1 9s CARDINAL cana-3960 228 2 2025 CARDINAL cana-3960 228 3 504 CARDINAL cana-3960 229 1 4.4 CARDINAL cana-3960 229 2 4.4 CARDINAL cana-3960 229 3 𝑦(𝑑 PRODUCT cana-3960 229 4 𝑑𝑓]𝕋 NORP cana-3960 230 1 linear ORG cana-3960 230 2 4.4 CARDINAL cana-3960 231 1 𝑧0 PERSON cana-3960 231 2 𝑦(𝑑 PRODUCT cana-3960 231 3 ∈ CARDINAL cana-3960 232 1 0 CARDINAL cana-3960 233 1 1,2 CARDINAL cana-3960 233 2 π‘‘π‘—βˆ’1 GPE cana-3960 233 3 2,3 CARDINAL cana-3960 233 4 0 CARDINAL cana-3960 234 1 π‘‘π‘—βˆ’1 GPE cana-3960 235 1 2 CARDINAL cana-3960 237 1 𝑧0 CARDINAL cana-3960 237 2 4.3 CARDINAL cana-3960 237 3 4.5 CARDINAL cana-3960 238 1 2 CARDINAL cana-3960 239 1 π‘‘π‘—βˆ’1 GPE cana-3960 239 2 2 CARDINAL cana-3960 239 3 𝑇ω𝑙(𝑑0 EVENT cana-3960 240 1 π‘‘π‘™βˆ’1 TIME cana-3960 240 2 0 CARDINAL cana-3960 242 1 𝑑1]𝕋 GPE cana-3960 242 2 𝑖=1 GPE cana-3960 242 3 π‘‘π‘˜]𝕋 ORG cana-3960 242 4 2 CARDINAL cana-3960 242 5 𝑖=1 GPE cana-3960 242 6 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 242 7 1074 CARDINAL cana-3960 242 8 32 CARDINAL cana-3960 243 1 9s CARDINAL cana-3960 243 2 2025 CARDINAL cana-3960 243 3 505 CARDINAL cana-3960 243 4 4.1 CARDINAL cana-3960 243 5 2.2 CARDINAL cana-3960 243 6 𝑑𝑓]𝕋 NORP cana-3960 244 1 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 245 1 4.2 CARDINAL cana-3960 246 1 1,2 CARDINAL cana-3960 248 1 2.2 CARDINAL cana-3960 248 2 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 250 1 iβŠ—πΊ1𝑗 ORG cana-3960 250 2 4.6 CARDINAL cana-3960 251 1 2.2 CARDINAL cana-3960 252 1 π‘‘π‘™βˆ’1 WORK_OF_ART cana-3960 253 1 2.2 CARDINAL cana-3960 253 2 4.1 CARDINAL cana-3960 253 3 β‰  0 ORG cana-3960 254 1 4.1 CARDINAL cana-3960 255 1 1 CARDINAL cana-3960 255 2 4.8 CARDINAL cana-3960 255 3 0 CARDINAL cana-3960 255 4 4.9 CARDINAL cana-3960 256 1 π‘‘π‘—βˆ’1 GPE cana-3960 256 2 π‘‘π‘—βˆ’1 GPE cana-3960 257 1 iβŠ—πΆπ‘—)𝑧𝛼 ORG cana-3960 257 2 1 CARDINAL cana-3960 257 3 4.7 CARDINAL cana-3960 257 4 4.8 CARDINAL cana-3960 257 5 4.9 CARDINAL cana-3960 257 6 1 CARDINAL cana-3960 257 7 iβŠ—πΆπ‘—)𝐺𝑗 ORG cana-3960 257 8 0 CARDINAL cana-3960 257 9 0,1 CARDINAL cana-3960 257 10 1,2 CARDINAL cana-3960 257 11 4.10 CARDINAL cana-3960 257 12 4.6 CARDINAL cana-3960 257 13 4.9 CARDINAL cana-3960 260 1 4.10 CARDINAL cana-3960 261 1 4.10 CARDINAL cana-3960 261 2 2.1 CARDINAL cana-3960 262 1 βˆ‘ πœ’1𝑖 𝑛2βˆ’1 PERSON cana-3960 262 2 1074 CARDINAL cana-3960 262 3 32 CARDINAL cana-3960 264 1 9s CARDINAL cana-3960 264 2 2025 CARDINAL cana-3960 264 3 506 CARDINAL cana-3960 264 4 βˆ‘ πœ’1𝑖 𝑛2βˆ’1 PERSON cana-3960 265 1 0 CARDINAL cana-3960 265 2 1,2 CARDINAL cana-3960 265 3 π‘‘π‘—βˆ’1 GPE cana-3960 265 4 0 CARDINAL cana-3960 265 5 0 CARDINAL cana-3960 266 1 4.10 CARDINAL cana-3960 266 2 β‰  0 PERSON cana-3960 267 1 2.2 CARDINAL cana-3960 269 1 1 CARDINAL cana-3960 269 2 bohner m. PERSON cana-3960 269 3 regan d.o PERSON cana-3960 269 4 peterson a. dynamic PERSON cana-3960 271 1 no.4 GPE cana-3960 271 2 2002 DATE cana-3960 271 3 1-26 CARDINAL cana-3960 272 1 2 CARDINAL cana-3960 272 2 alexander g PERSON cana-3960 272 3 ellis hordwood ltd. PERSON cana-3960 272 4 england GPE cana-3960 272 5 1981 DATE cana-3960 273 1 3 CARDINAL cana-3960 273 2 appa rao PERSON cana-3960 273 3 prasad kasnv PERSON cana-3960 274 1 56(2016 CARDINAL cana-3960 274 2 529-539 CARDINAL cana-3960 275 1 4 CARDINAL cana-3960 275 2 appa rao PERSON cana-3960 275 3 prasad kasnv PERSON cana-3960 275 4 32(12 CARDINAL cana-3960 275 5 2018 DATE cana-3960 275 6 4209-4219 DATE cana-3960 276 1 5 CARDINAL cana-3960 276 2 atici f.m PERSON cana-3960 276 3 biles d.c PERSON cana-3960 276 4 first ORDINAL cana-3960 276 5 second ORDINAL cana-3960 277 1 132 CARDINAL cana-3960 278 1 6 CARDINAL cana-3960 278 2 bhoner m. PERSON cana-3960 278 3 peterson PERSON cana-3960 278 4 boston GPE cana-3960 278 5 2001 DATE cana-3960 279 1 7 CARDINAL cana-3960 279 2 bhoner m. PERSON cana-3960 279 3 peterson PERSON cana-3960 279 4 boston GPE cana-3960 279 5 2003 DATE cana-3960 280 1 8 CARDINAL cana-3960 280 2 ac ORG cana-3960 280 3 abu arqub o GPE cana-3960 280 4 2022 CARDINAL cana-3960 283 1 10:1028668 CARDINAL cana-3960 283 2 10.3389 CARDINAL cana-3960 283 3 9 CARDINAL cana-3960 283 4 dacunha j.j. PERSON cana-3960 283 5 j. PERSON cana-3960 284 1 15 CARDINAL cana-3960 284 2 2005),1245-1264 DATE cana-3960 285 1 10 CARDINAL cana-3960 285 2 j henderson PERSON cana-3960 285 3 2 CARDINAL cana-3960 285 4 hindawi publishing corporation ORG cana-3960 285 5 new york GPE cana-3960 285 6 2006 DATE cana-3960 285 7 11 CARDINAL cana-3960 285 8 davis jhon m PERSON cana-3960 285 9 jackson billy j PERSON cana-3960 285 10 robert j PERSON cana-3960 285 11 2009 DATE cana-3960 285 12 2009 DATE cana-3960 285 13 1-32 CARDINAL cana-3960 286 1 12 CARDINAL cana-3960 286 2 2021 CARDINAL cana-3960 286 3 13 CARDINAL cana-3960 286 4 fausett l. v. and PERSON cana-3960 286 5 murty k.n. controllability ORG cana-3960 286 6 2004 DATE cana-3960 286 7 627–638 CARDINAL cana-3960 287 1 14 CARDINAL cana-3960 288 1 18 CARDINAL cana-3960 288 2 1990 DATE cana-3960 288 3 18–56 CARDINAL cana-3960 289 1 15 CARDINAL cana-3960 289 2 s. ein PERSON cana-3960 289 3 mit anwendung auf zentrmsmannigfaltingkeiten PERSON cana-3960 290 1 phd thesis PERSON cana-3960 291 1 wurzburg GPE cana-3960 291 2 1988 DATE cana-3960 292 1 16 CARDINAL cana-3960 292 2 ionescu, adela ORG cana-3960 293 1 2021 CARDINAL cana-3960 295 1 bruno carpentieri PERSON cana-3960 296 1 10.5772 CARDINAL cana-3960 297 1 17 CARDINAL cana-3960 297 2 xiang x PERSON cana-3960 297 3 first ORDINAL cana-3960 297 4 69 CARDINAL cana-3960 297 5 2803 CARDINAL cana-3960 298 1 18 CARDINAL cana-3960 298 2 b. GPE cana-3960 298 3 abu arqub GPE cana-3960 298 4 alnabulsi, s., & alsulami PERSON cana-3960 298 5 2022 CARDINAL cana-3960 300 1 chinese NORP cana-3960 300 2 80 DATE cana-3960 300 3 463 CARDINAL cana-3960 301 1 19 CARDINAL cana-3960 301 2 mohammad abdel aal PERSON cana-3960 301 3 smina djennadi PERSON cana-3960 301 4 omar abu arqub PERSON cana-3960 301 5 hamed alsulami PERSON cana-3960 301 6 2022 CARDINAL cana-3960 301 7 12 CARDINAL cana-3960 301 8 2022 CARDINAL cana-3960 303 1 20 CARDINAL cana-3960 304 1 kumar g.s PERSON cana-3960 304 2 appa rao PERSON cana-3960 304 3 prasad kasnv PERSON cana-3960 304 4 analele university ORG cana-3960 304 5 di vest timsora PERSON cana-3960 304 6 seria mathematica informatica li PERSON cana-3960 304 7 2(13 CARDINAL cana-3960 304 8 73-86 DATE cana-3960 305 1 1074 CARDINAL cana-3960 305 2 32 CARDINAL cana-3960 306 1 9s CARDINAL cana-3960 306 2 2025 DATE cana-3960 306 3 507 CARDINAL cana-3960 307 1 21 CARDINAL cana-3960 307 2 appa rao b. v PERSON cana-3960 307 3 ranchi univ.math. ORG cana-3960 307 4 2005),55-65 DATE cana-3960 308 1 22 CARDINAL cana-3960 308 2 appa rao b. v PERSON cana-3960 308 3 suresh kumar g. PERSON cana-3960 308 4 bull.korean math.soc ORG cana-3960 308 5 no.1 ORG cana-3960 308 6 2006 DATE cana-3960 308 7 149 CARDINAL cana-3960 309 1 23 CARDINAL cana-3960 309 2 appa rao PERSON cana-3960 309 3 aip ORG cana-3960 309 4 icemea-2022 LOC cana-3960 310 1 24 CARDINAL cana-3960 310 2 xie g.m PERSON cana-3960 310 3 wang l. PERSON cana-3960 310 4 linear ORG cana-3960 311 1 355 CARDINAL cana-3960 312 1 25 CARDINAL cana-3960 312 2 zhao s. PERSON cana-3960 312 3 sun j PERSON cana-3960 312 4 10(2009 CARDINAL cana-3960 312 5 1370-1380 CARDINAL cana-3960 313 1 26 CARDINAL cana-3960 313 2 michel PERSON cana-3960 313 3 l. hou PERSON cana-3960 314 1 autom GPE cana-3960 315 1 control ORG cana-3960 315 2 43(1998 CARDINAL cana-3960 315 3 no.4 GPE cana-3960 315 4 461 CARDINAL cana-3960 316 1 27 CARDINAL cana-3960 316 2 z. g. li PERSON cana-3960 317 1 soh PERSON cana-3960 317 2 x. h. xu PERSON cana-3960 317 3 36(200 CARDINAL cana-3960 317 4 297 CARDINAL cana-3960 318 1 28 CARDINAL cana-3960 318 2 marco PERSON cana-3960 318 3 kumar PERSON cana-3960 318 4 vipin PERSON cana-3960 318 5 rn GPE cana-3960 318 6 archivum mathematicum PERSON cana-3960 318 7 58 CARDINAL cana-3960 318 8 2022 CARDINAL cana-3960 318 9 2 CARDINAL cana-3960 319 1 85 CARDINAL cana-3960 319 2 10.5817 CARDINAL cana-3960 320 1 29 CARDINAL cana-3960 320 2 vipin PERSON cana-3960 320 3 malik PERSON cana-3960 320 4 muslim NORP cana-3960 320 5 15 CARDINAL cana-3960 320 6 iss PERSON cana-3960 320 7 3 CARDINAL cana-3960 320 8 2020 DATE cana-3960 322 1 30 CARDINAL cana-3960 322 2 vipin kumar PERSON cana-3960 322 3 muslim NORP cana-3960 322 4 mohamed djemai PERSON cana-3960 322 5 39 DATE cana-3960 322 6 2021 CARDINAL cana-3960 323 1 31 CARDINAL cana-3960 323 2 vipin kumar PERSON cana-3960 323 3 mohamed djemai PERSON cana-3960 323 4 2023 CARDINAL cana-3960 323 5 529-548 CARDINAL cana-3960 325 1 32 CARDINAL cana-3960 325 2 h., arqub ORG cana-3960 325 3 o. a. PERSON cana-3960 325 4 n. ORG cana-3960 325 5 legendre PERSON cana-3960 326 1 34 CARDINAL cana-3960 326 2 4 CARDINAL cana-3960 326 3 2023 CARDINAL