Prescribed-time stabilization and inverse optimal control of stochastic high-order nonlinear systems

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外文摘要：This paper investigates the prescribed-time state-feedback stabilization and prescribed-time in-verse optimality problems for stochastic high-order nonlinear systems.First,a time-varying controller is designed by developing scaled quartic Lyapunov functions,which can guarantee that the system has a unique strong solution almost surely on the prescribed interval for any system initial conditions and that the states and the control converge to the origin in a mean-square form within the prescribed time.Then,the controller is redesigned to address the problem of prescribed-time inverse optimal mean-square stabilization.Finally,a concrete example is provided to confirm the efficiency of the proposed design schemes.

外文关键词：

stochastic high-order nonlinear systemsprescribed-time stabilizationthe scaled designinverse optimality

作者：

Ran LIU、Hui WANG、Wuquan LI

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作者单位：

School of Mathematics and Statistics Science,Ludong University,Yantai 264025,China

基金：

National Natural Science Foundation of ChinaTaishan Scholars Program of Shandong Province of ChinaFundamental Research Projects of Science & Technology Innovation and Development Plan in Yantai CitySpecial Supporting Funding for Leading Talents Above Provincial Level in Yantai City

项目编号：

62373179tstp202211332023JCYJ051

出版年：

2024

DOI：

10.1007/s11432-022-3842-2

中国科学:信息科学(英文版)

中国科学院

中国科学:信息科学(英文版)

CSTPCDEI

影响因子：0.715

ISSN：1674-733X

年,卷(期)：2024.67(2)

参考文献量39