#6015. Non-weighted l2/L2-gain of asynchronously switched systems

August 2026publication date
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Journal’s subject area:
Analysis;
Computer Science Applications;
Control and Systems Engineering;
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Abstract:
This paper concerns that a non-weighted l2/L2-gain performance for asynchronously switched systems can be achieved in both discrete-time and continuous-time cases. Based on the constructed Lyapunov-like functions with average dwell time (ADT) method and inequality analysis technique, a non-weighted l2/L2-gain for asynchronously switched nonlinear systems can be guaranteed, which improves the existing results. Meanwhile, for asynchronously switched linear systems, the piecewise Lyapunov matrices are constructed and linear matrix inequalities (LMIs) conditions are derived to attain a non-weighted l2/L2-gain performance. Finally, some examples are provided to illustrate the theoretical results.
Keywords:
Asynchronous switching; Average dwell time; Non-weighted l2/L2-gain; Nonlinear switched system

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