A looped-functional approach for robust stability analysis of linear impulsive systems
Copyright policy )A looped-functional approach for robust stability analysis of linear impulsive systems
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 LMIs conditions devoid of exponential terms. This allows one to easily formulate dwell-times 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.
13 pages, 2 figures, Accepted at Systems & Control Letters
- ETH Zurich Switzerland
- French Institute for Research in Computer Science and Automation France
- Centre national de la recherche scientifique France
- Université de Toulouse France
- Université Toulouse Capitole France
looped-functionals, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], Impulsive systems, Systems and Control (eess.SY), Dynamical Systems (math.DS), Electrical Engineering and Systems Science - Systems and Control, 510, Classical Analysis and ODEs (math.CA), FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Uncertain systems, Mathematics - Dynamical Systems, Mathematics - Optimization and Control, LMIs, impulsive systems, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Robust stability, [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA], 620, uncertain systems, Linear systems in control theory, Mathematics - Classical Analysis and ODEs, Optimization and Control (math.OC), [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], Looped-functionals, non-monotonic Lyapunov functions, Control/observation systems governed by ordinary differential equations
looped-functionals, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], Impulsive systems, Systems and Control (eess.SY), Dynamical Systems (math.DS), Electrical Engineering and Systems Science - Systems and Control, 510, Classical Analysis and ODEs (math.CA), FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Uncertain systems, Mathematics - Dynamical Systems, Mathematics - Optimization and Control, LMIs, impulsive systems, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Robust stability, [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA], 620, uncertain systems, Linear systems in control theory, Mathematics - Classical Analysis and ODEs, Optimization and Control (math.OC), [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], Looped-functionals, non-monotonic Lyapunov functions, Control/observation systems governed by ordinary differential equations
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