id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-500	Abdelaziz, Taha H. S.; Valášek, M.	A Direct Algorithm for Pole Placement by State-derivative Feedback for Single-input Linear Systems	2003	9	.pdf	application/pdf	7781	336	68	3 Pole placement by state-derivative feedback for linear time-varying systems The above methodology can be extended for general sin- gle-input controllable linear time-varying systems � � � � � � � � � ��x A x Bt t t t u t� � , � �x xt0 0� (30) where � �x t n�R and � �u t �R are the state vector and the scalar control input, respectively, while � �A t n n� �R and � �B t n�R are the system matrix and control gain vector, respectively. 2.1 Pole placement problem formulation Consider a controllable linear time-invariant single-input system, � � � � � ��x A x Bt t u t� � , � �x xt0 � 0, (1) where � �x t n�R and � �u t �R are the state vector and the sca- lar control input, respectively, while A � �Rn n and B �Rnare the system matrix and control gain vector, respectively.	cache/ap-500.pdf	txt/ap-500.txt