L 2 -gain analysis for switched systems with a state-dependent switching signal

State-dependent switched systems constitute a major group of hybrid systems. ℒ2-gain property for these systems is analysed in this study. A theorem is proposed, which can be used to determine an upper-bound for the ℒ2-gain of such systems. Multiple Lyapunov functions play a key role in applying the theorem. By using the sum of squares technique, a practical method is provided to compute these functions. ℒ2-gain analysis of switched linear systems is performed based on linear matrix inequalities, as well. Illustrative examples indicate the effectiveness of the results.

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