Abstract

This paper addresses the stability of networked control systems (NCSs) with various communication imperfections among which large transmission delays will be studied. The key strategy is to propose a hybrid small-gain technique to handle the technical challenges arising from large delays. A new NCS and quantization protocol named ISS-like protocol is proposed. By constructing a novel Lyapunov function, the input-to-state stability (ISS) properties for the subsystems are proposed. By means of hybrid small-gain techniques, conditions for exponential stability of the NCSs are proposed related to the maximum allowable updating interval (MAUI) and the maximum transfer delay (MAD).

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