Title :
A study of the generalized input-to-state ℒ2-gain of discrete-time switched linear systems
Author :
Putta, Vamsi ; Zhu, Guangwei ; Shen, Jinglai ; Hu, Jianghai
Author_Institution :
Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN, USA
Abstract :
A generalized notion of the input-to-state L2-gains of discrete-time switched linear systems is proposed in this paper. Such gains are then characterized using the radii of convergence of a family of suitably defined functions called the generating functions. Properties of the generating functions are studied and their numerical computation algorithms are developed. Some numerical examples are presented.
Keywords :
convergence of numerical methods; discrete time systems; functions; linear systems; time-varying systems; convergence radii; discrete time switched linear system; generalized input-to-state L2-gain; generating functions; numerical computation algorithm; Approximation algorithms; Convergence; Equations; Linear systems; Stability analysis; Switches;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161432
