Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems

• Published in: Applied mathematics and computation Vol. 362; p. 124571
• Main Authors: Dai, Mingcheng, Huang, Zhengguo, Xia, Jianwei, Meng, Bo, Wang, Jian, Shen, Hao
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.12.2019
• Subjects: Extended dissipativity; Markov jump systems; State delays; Two-dimensional discrete-time systems; Two-dimensional discrete-time systems; Extended dissipativity; State delays; Markov jump systems
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2019.124571

This work deals with the issue of extended dissipativity-based state feedback control for an array of two-dimensional Markov jump systems established upon Fornasini–Marchesini local state-space model, in which a kind of state delays is thoroughly taken into account. Meanwhile, the non-fragile control scheme is adopted to cope with the imprecisions occurring in the realization of the controller. The primary target is to devise a novel controller ensuring that the closed-loop system actualizes not merely the stochastic stability, but also meets a specified extended dissipative property. Through selecting a suitable Lyapunov–Krasovskii functional and applying a concise matrix decoupling approach, some criteria are derived to guarantee the solvability of the admissible controller. Ultimately, in order to validate the availability and practicability of the developed results, a simulation example is provided.