Efficient computation of generalized input-to-state ℒ2-gains of discrete-time switched linear systems

Authors:
Vamsi Kalyan Putta;Guangwei Zhu;Jianghai Hu;Jinglai Shen
Affiliations:
Purdue University, West Lafayette,, IN, USA;Purdue University, West Lafayette,, IN, USA;Purdue University, West Lafayette,, IN, USA;University of Maryland, Baltimore, MD, USA
Venue:
Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control
Year:
2012

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Abstract

This paper proposes an efficient way to compute the ℒ2-gains of discrete-time switched linear systems. Using the notion of generating functions, generalized versions of ℒ2-gains under arbitrary switching are studied. An efficient numerical algorithm is formulated by which these generalized ℒ2-gains can be estimated. The proposed method mitigates the problem of conservative bounds. Numerical examples are provided to illustrate the algorithm.