Delay-dependent stability and stabilization of uncertain discrete-time Markovian jump singular systems with time delay

• Autores: Shuping Ma, Xinzhi Liu, Chenghui Zhang
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 49, Nº 1, 2007, págs. 111-129
• Idioma: inglés
• DOI: 10.1017/s1446181100012712
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• Resumen

  • This paper discusses robust stochastic stability and stabilization of time-delay discrete Markovian jump singular systems with parameter uncertainties. Based on the restricted system equivalent (RES) transformation, a delay-dependent linear matrix inequalities condition for time-delay discrete-time Markovian jump singular systems to be regular, causal and stochastically stable is established. With this condition, problems of robust stochastic stability and stabilization are solved, and delay-dependent linear matrix inequalities are obtained. A numerical example is also given to illustrate the effectiveness of this method.