Constructing a bimodal switched Lyapunov function for non-uniformly sampled-data feedback systems

Stability analysis of non-uniformly sampled-data feedback control systems is considered. An algorithm is pro posed based on the property that the exponential stability is implied by the existence of a switched Lyapunov function for the associate discrete-time systems. In order to reduce the computational complexity, the algorithm is proposed taking account of the dimensions of LMIs to be solved. It is shown that the proposed algorithm constructs a bimodal switched Lyapunov function in a finite step if one exists.