Stability of sampled-data systems with application to networked control systems

This paper studies the problems of stability for sampled-data control systems and networked control systems (NCSs) with state feedback. First, a new approach to stability analysis of sampled-data systems is proposed, which is based on defining a new type of Lyapunov-Krasovskii functional (LKF), and combining an iterative convex combination technique with a new enlargement scheme. A less conservative stability criterion depending on both lower and upper bounds of sampling intervals is obtained. Then, the approach is extended to NCSs. By clarifying the relationship of the network-induced delay and the executive duration, less conservative and less complex stability criterion is also obtained. Finally, some illustrative examples are given to show the effectiveness and the improvement of the proposed method.