A looped-functional approach for robust stability analysis of linear impulsive systems
For control theorists and engineers, this provides a new tool for stability analysis of impulsive and sampled-data systems, though the improvement is incremental over existing Lyapunov-based methods.
The paper develops a looped-functional approach for stability analysis of linear impulsive systems, yielding LMI conditions without exponential terms and enabling dwell-time results for certain and uncertain systems. The method is shown to be applicable to a wider class of impulsive systems than existing methods, with examples on sampled-data systems demonstrating efficiency.
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.