 Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systemsMingcheng Dai, Zhengguo Huang, Jianwei Xia, Bo Meng, Jian Wang and Hao Shen Applied Mathematics and Computation, 2019, vol. 362, issue C, - Abstract: 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. Keywords: Two-dimensional discrete-time systems; Markov jump systems; Extended dissipativity; State delays (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:362:y:2019:i:c:6 DOI: 10.1016/j.amc.2019.124571 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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