期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 68, 期 4, 页码 2544-2551出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2022.3186827
关键词
Feedback control; Delays; Markov processes; Delay systems; Switches; Lyapunov methods; Asymptotic stability; Discrete-time feedback control function; highly nonlinear stochastic systems; Markov switching; neutral term; stabilization
In this article, we study stochastic highly nonlinear delay systems with neutral term, which do not satisfy the linear growth condition. Under the local Lipschitz condition and the polynomial growth condition, we investigate the existence, uniqueness, and boundedness of global solutions for these systems. We present a discrete-time feedback control function that depends on Markov switching signals with a delay to stabilize the systems. An illustrative example is provided to demonstrate the effectiveness of the obtained results.
In this article, stochastic highly nonlinear delay systems with neutral term are studied, which does not satisfy the linear growth condition. Under the local Lipschtiz condition and the polynomial growth condition, we study the existence and uniqueness, as well as boundedness, of global solution for stochastic highly nonlinear delay systems with neutral term. By designing a discrete-time feedback control function, the stabilization of stochastic highly nonlinear delay systems with neutral term is presented. Different from the previous literature, our discrete-time feedback control function depends on Markov switching signals with a delay. An illustrative example is given to show the effectiveness of the obtained results.
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