Robust stabilization of Markovian delay systems with delay-dependent exponential estimates |
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| Authors: | Zhan Shu [Author Vitae] James Lam [Author Vitae] |
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| Affiliation: | a Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong
b Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China |
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| Abstract: | A sufficient condition for the exponential estimates of a class of Markovian systems with time delay is established for the first time in terms of the linear matrix inequality (LMI) technique. The estimating procedure is implemented by solving an LMI. The proposed condition is also extended to the uncertain case. Moreover, a state feedback stabilizing controller which makes the closed-loop system exponentially stable with a prescribed lower bound of decay rate is designed. Numerical examples are provided to illustrate the effectiveness of the theoretical results. |
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| Keywords: | Exponential estimates Linear matrix inequalities (LMIs) Markovian jumping systems Robust stabilization Time-delay systems Uncertain systems |
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