Stability and robust stabilisation for uncertain discrete stochastic hybrid singular systems with time delay
Stability and robust stabilisation for uncertain discrete stochastic hybrid singular systems with time delay
- Author(s): S. Ma and E.K. Boukas
- DOI: 10.1049/iet-cta.2008.0313
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- Author(s): S. Ma 1, 2 and E.K. Boukas 2
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View affiliations
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Affiliations:
1: School of Mathematics, Shandong University, Jinan, People's Republic of China
2: Mechanical Engineering Department, École Polytechnique de Montréal, Montréal, Canada
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Affiliations:
1: School of Mathematics, Shandong University, Jinan, People's Republic of China
- Source:
Volume 3, Issue 9,
September 2009,
p.
1217 – 1225
DOI: 10.1049/iet-cta.2008.0313 , Print ISSN 1751-8644, Online ISSN 1751-8652
The stochastic stability and robust stochastic stabilisation for time-delay discrete Markovian jump singular systems with parameter uncertainties are discussed. Based on stochastic Lyapunov functional, a delay-dependent linear matrix inequalities (LMIs) condition for the time-delay discrete Markovian jump singular systems to be regular, causal and stochastically stable is given. With this condition, the problem of robust stochastic stabilisation is solved. A numerical example to illustrate the effectiveness of the method is given.
Inspec keywords: uncertain systems; Markov processes; delays; stochastic systems; Lyapunov methods; linear matrix inequalities; robust control; discrete systems
Other keywords:
Subjects: Discrete control systems; Time-varying control systems; Linear algebra (numerical analysis); Markov processes; Stability in control theory; Distributed parameter control systems
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