Abstract
This paper is concerned with stability and H2 analysis of periodic discrete-time uncertain systems. New conditions based on structured Lyapunov functions are provided in the form of parameter-dependent Linear Matrix Inequalities (LMIs). The Lyapunov functions make use of the periodic dynamic of the system to provide less conservative results in terms of scalar decision variables, LMI rows and H2 guaranteed cost. The proposed techniques are necessary and sufficient conditions to certify the stability of periodic discrete-time uncertain systems. Numerical experiments illustrate the improvement granted by the methods proposed in this paper over existing techniques.
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