Optimal Guaranteed Cost Control of a Class of Discrete-Time Nonlinear Systems with Markovian Switching and Mode-Dependent Mixed Time Delays
Joint Authors
Liu, Xiaohui
Liu, Yurong
Karimi, Hamid Reza
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The guaranteed cost control problem is investigated for a class of nonlinear discrete-time systems with Markovian jumping parameters and mixed time delays.
The mixed time delays involved consist of both the mode-dependent discrete delay and the distributed delay with mode-dependent lower bound.
The associated cost function is of a quadratic summation form over the infinite horizon.
The nonlinear functions are assumed to satisfy sector-bounded conditions.
By introducing new Lyapunov-Krasovskii functionals and developing some new analysis techniques, sufficient conditions for the existence of guaranteed cost controllers are derived with respect to the given cost function.
Moreover, a convex optimization approach is applied to search for the optimal guaranteed cost controller by minimizing the guaranteed cost of the closed-loop system.
Numerical simulation is further carried out to demonstrate the effectiveness of the proposed methods.
American Psychological Association (APA)
Liu, Yurong& Karimi, Hamid Reza& Liu, Xiaohui. 2013. Optimal Guaranteed Cost Control of a Class of Discrete-Time Nonlinear Systems with Markovian Switching and Mode-Dependent Mixed Time Delays. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-488547
Modern Language Association (MLA)
Liu, Yurong…[et al.]. Optimal Guaranteed Cost Control of a Class of Discrete-Time Nonlinear Systems with Markovian Switching and Mode-Dependent Mixed Time Delays. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-488547
American Medical Association (AMA)
Liu, Yurong& Karimi, Hamid Reza& Liu, Xiaohui. Optimal Guaranteed Cost Control of a Class of Discrete-Time Nonlinear Systems with Markovian Switching and Mode-Dependent Mixed Time Delays. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-488547
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488547