Decentralized global stabilization for stochastic high-order feedforward nonlinear systems with time-varying delays |
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Authors: | Ticao Jiao Shengyuan Xu Yunliang Wei Yuming Chu Yun Zou |
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Institution: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China;2. Department of Mathematics, Huzhou Teacher?s College, Huzhou, Zhejiang 313000, PR China |
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Abstract: | This paper studies the problem of decentralized stabilization for a class of large-scale stochastic high-order time-delay feedforward nonlinear systems. A series of delay-independent state feedback controllers is constructed, which is based on the approach of adding one power integrator. The stochastically global asymptotic stability (GAS) of the closed-loop system under the above-mentioned controllers is proved by Lyapunov–Krasovskii theorem and homogeneous domination approach. A simulation example is given to illustrate the effectiveness of the results of this paper. |
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