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
- Affiliations: 1: School of Mathematics, Shandong University, Jinan, People's Republic of China
  2: Mechanical Engineering Department, École Polytechnique de Montréal, Montréal, Canada
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.

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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

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