In this paper convergence properties of piecewise affine (PWA) systems with discontinuous right-hand sides are studied. It is shown that for discontinuous PWA systems existence of a common quadratic Lyapunov function is not sufficient for convergence. For discontinuous bimodal PWA systems necessary and sufficient conditions for quadratic convergence, i.e. convergence with a quadratic Lyapunov function, are derived.
|Title of host publication||Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference(CDC-ECC), 12-15- december 2005, Seville, Spain|
|Publication status||Published - 2005|