Adaptive State-Feedback Stabilization for Stochastic Nonlinear Systems with Time-Varying Powers and Unknown Covariance

Jiabao Gu, Hui Wang (), Wuquan Li and Ben Niu
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Jiabao Gu: School of Mathematics and Statistics Science, Ludong University, Yantai 264025, China
Hui Wang: School of Mathematics and Statistics Science, Ludong University, Yantai 264025, China
Wuquan Li: School of Mathematics and Statistics Science, Ludong University, Yantai 264025, China
Ben Niu: School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China

Mathematics, 2022, vol. 10, issue 16, 1-16

Abstract: This paper investigates the adaptive state-feedback stabilization problem for stochastic nonlinear systems. Compared with the existing results, we consider more general and more practical systems, i.e., systems with time-varying powers and unknown covariance simultaneously. We propose a new adaptive state-feedback control method, which ensures that the closed-loop system is globally stable in probability and the states are regulated to the origin almost surely. Finally, the feasibility of the design method is verified by two examples.

Keywords: stochastic nonlinear systems; adaptive state-feedback stabilization; unknown covariance (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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