Interval stability/stabilization and H∞ feedback control for linear impulsive stochastic systems

Yuanen Li, Huasheng Zhang, Tingting Zhang and Han Geng

Applied Mathematics and Computation, 2023, vol. 437, issue C

Abstract: This paper considers the interval stability/stabilization as well as the H∞-performance constrained by convergence rate of the linear impulsive stochastic systems (LISSs). Firstly, based on the relationship between the system pole configuration and the system performance, a sufficient condition for the distribution of the system eigenvalues in a specific region is given, i.e., a new criterion for the interval stability/stabilization of LISSs. Meanwhile, a new algorithm is designed to precisely control the convergence speed of the target system by combining the interval stabilization method. In addition, an H∞ control criterion constrained by the convergence rate of the system is also proposed. Finally, the effectiveness and applicability of the method are verified by numerical examples.

Keywords: Impulsive stochastic systems; Interval stability/stabilization; Linear operator; H∞ control (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:437:y:2023:i:c:s0096300322006269

DOI: 10.1016/j.amc.2022.127552

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