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A looped-functional approach for robust stability analysis of linear impulsive systems. (English) Zbl 1270.93084
Summary: A new functional-based approach is developed for the stability analysis of linear impulsive systems. The new method, which introduces looped functionals, considers non-monotonic Lyapunov functions and leads to LMI conditions devoid of exponential terms. This allows one to easily formulate dwell-time results, for both certain and uncertain systems. It is also shown that this approach may be applied to a wider class of impulsive systems than existing methods. Some examples, notably on sampled-data systems, illustrate the efficiency of the approach.

93D09 Robust stability
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
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