On Stability and Stabilizability of Singular Stochastic Systems with Delays

E. K. Boukas, S. Xu and J. Lam
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E. K. Boukas: École Polytechnique de Montréal
S. Xu: Nanjing University of Science and Technology
J. Lam: University of Hong Kong

Journal of Optimization Theory and Applications, 2005, vol. 127, issue 2, No 2, 249-262

Abstract: Abstract This paper deals with the class of continuous-time singular linear systems with Markovian jump parameters and time delays. Sufficient conditions on the stochastic stability and stochastic stabilizability are developed. A design algorithm for a state feedback controller which guarantees that the closed-loop dynamics will be regular, impulse free, and stochastically stable is proposed in terms of the solutions to linear matrix inequalities.

Keywords: Singular systems; jump linear systems; linear matrix inequalities; stochastic stability; stochastic stabilizability; state feedback (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-005-6538-5

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