Linear discrete‐time systems with Markovian jumps and modedependent time‐delay: Stability and stabilizability | Zendy

E.K. Boukas | Zendy; Peng Shi | Zendy; Mehmet Akif Karan | Zendy; C. Yalçın Kaya | Zendy

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Linear discrete‐time systems with Markovian jumps and modedependent time‐delay: Stability and stabilizability

Author(s) -

E.K. Boukas,

Peng Shi,

Mehmet Akif Karan,

C. Yalçın Kaya

Publication year - 2002

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1080/10241230212910

Subject(s) - discrete time and continuous time , stability (learning theory) , mathematics , linear matrix inequality , control theory (sociology) , class (philosophy) , mode (computer interface) , control (management) , computer science , mathematical optimization , statistics , machine learning , artificial intelligence , operating system

This paper considers stochastic stability and stochastic stabilizability of linear discrete-time systems with Markovian jumps and mode-dependent time-delays. Linear matrix inequality (LMI) techniques are used to obtain sufficient conditions for the stochastic stability and stochastic stabilizability of this class of systems. A control design algorithm is also provided. A numerical example is given to demonstrate the effectiveness of the obtained theoretical results

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