L2-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.