首页|Global stabilization of low-order stochastic nonlinear systems with multiple time-varying delays by a continuous feedback control
Global stabilization of low-order stochastic nonlinear systems with multiple time-varying delays by a continuous feedback control
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Elsevier
The global stabilization problem is investigated in the present paper for a class of stochastic nonlinear systems, whose structure is in a p-normal form (0 < p < 1) and states are perturbed by multiple time-varying delays. By means of an extended stability theory of stochastic nonlinear time-delay systems, where the existence and uniqueness of strong solution of an initial value problem is not required, a nonsmooth but continuous delay-dependent global stabilizer is systematically constructed to achieve the global strong asymptotic stability in probability of the closed-loop system under some conditions. In order to overcome the obstacles caused by low-order nonlinear terms, multiple time-varying delays and stochastic disturbances, a novel nonlinear Lyapunov-Krasovskii functional is skillfully introduced, which plays an important role in the controller design. The effectiveness of the obtained results is verified by an illustrative example in the end. (C) 2022 Elsevier Inc. All rights reserved.
NSTL
Elsevier
