A study of the generalized input-to-state ℒ2-gain of discrete-time switched linear systems
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Putta, Vamsi, Guangwei Zhu, Jinglai Shen, and Jianghai Hu. “A Study of the Generalized Input-to-State ℒ2-Gain of Discrete-Time Switched Linear Systems.” In 2011 50th IEEE Conference on Decision and Control and European Control Conference, 435–40, 2011. https://doi.org/10.1109/CDC.2011.6161432.
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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.