Exponential state estimation for stochastic complex dynamical networks with multi-delayed base on adaptive control

This paper discusses the exponential state estimation problem for stochastic complex dynamical networks involving multi-delayed and adaptive control. A new approach, very different to the linear matrix inequality (LMI) method, has been developed to solve the above problem. Meanwhile, some sufficient conditions are derived to ensure the exponential stability in pth moment for the dynamics of state estimator error. The feedback gain update law is found by the adaptive control technique. An illustrative example is provided to show the usefulness and effectiveness of the proposed design method.

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