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- Title
Finite-region boundedness and stabilization for 2D continuous-discrete systems in Roesser model.
- Authors
Hua, Dingli; Wang, Weiqun; Yu, Weiren; Wang, Yixiang
- Abstract
This paper investigates the finite-region boundedness (FRB) and stabilization problems for two-dimensional continuous-discrete linear Roesser models subject to two kinds of disturbances. For two-dimensional continuous-discrete system, we first put forward the concepts of finite-region stability and FRB. Then, by establishing special recursive formulas, sufficient conditions of FRB for two-dimensional continuous-discrete systems with two kinds of disturbances are formulated. Furthermore, we analyze the finite-region stabilization issues for the corresponding two-dimensional continuous-discrete systems and give generic sufficient conditions and sufficient conditions that can be verified by linear matrix inequalities for designing the state feedback controllers which ensure the closed-loop systems FRB. Finally, viable experimental results are demonstrated by illustrative examples.
- Subjects
UNITED States. Federal Reserve Board; STATE feedback (Feedback control systems); LINEAR matrix inequalities; CLOSED loop systems; MARKOVIAN jump linear systems; DISCRETE-time systems
- Publication
IMA Journal of Mathematical Control & Information, 2019, Vol 36, Issue 3, p1033
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dny017