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Random time delay problem is a key problem in networked control systems (NCSs) and uncertain metrology delay systems. Different from the ordinary delay, the random delay is usually described in time domain. In this paper, a Laplace transform strategy is used to analyze random time delay problem. Firstly, the various Laplace transforms of random variables are discussed; then, based on the output response...
In this paper, we propose a discrete time consensus protocol which can solve the consensus problem in the network with nonhomogeneous communication delays. We give the sufficient conditions to reach consensus and provide a closed form formula for the consensus value. Furthermore, we investigate the mean square stability (MSS) of our protocol when each link of the network can break with a given probability...
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