id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ijassa-117	Elhadj, Zeraoulia; Sprott, J.C.	A Universal Nonlinear Control Law for the Synchronization of Arbitrary 3-D Continuous-time Quadratic Systems	2012	6	.pdf	application/pdf	1946	82	67	Indeed, the error system (8) becomes 350 Zeraoulia Elhadj:A Universal Nonlinear Control Law for the Synchronization of Arbitrary...  e′1 = −e1 − ξ5e2 + ξ3e3 e′2 = ξ5e1 − e2 − ξ10e3 e′3 = −ξ3e1 + ξ10e2 − e3 (10) and if we consider the Lyapunov function V = e21+e22+e23 2 , then it is easy to verify the asymptotic stability of the error system (10) by Lyapunov stability theory since we have dV dt = −e21 − e22 − e23 < 0 for all (ai, bi, ci)0≤i≤9 ⊂ R30, (di, ri, si)0≤i≤9 ⊂ R30 and for all initial conditions. = −ξ9e1 − (ξ11 + 1)e3 − ξ12 (13) Advances in Systems Science and Applications (2012) Vol.12 No.4 351 where  ξ1 = a1 + d1, ξ2 = −a1 − d1, ξ4 = d1x1 − a1x2 − d1y1 + a1y2 ξ5 = −z1 − z2, ξ6 = −2, ξ8 = −x1z2 + z1x2	cache/ijassa-117.pdf	txt/ijassa-117.txt