New Stability Criteria of Networked Control Systems

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We present new stability criteria for networked control systems with time-varying transmission delays and transmission intervals.The accumulating transmission delays are described as potential input delays.Also,the impulsive effects of the networked control system are analyzed in detail.We propose a new discontinuous Lyapunov functional method to exploit the impulsive effects of feedback signals and input delays and their associated time derivatives;this method leads to reduced conservatism of the derived exponential stability criteria and the corresponding controller design method.A numerical example is presented to verify the effectiveness of our proposed approach. We present new stability criteria for networked control systems with time-varying transmission delays and transmissions.The accumulating transmission delays are described as potential input delays. Al so, the impulsive effects of the networked control system are analyzed in detail. We propose a new discontinuous Lyapunov functional method to exploit the impulsive effects of feedback signals and input delays and their associated time derivatives; this method leads to reduced conservatism of the derived exponential stability criteria and the corresponding controller design method. A numerical example is presented to verify the effectiveness of our proposed approach.
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