Journal
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
Volume 12, Issue 1, Pages 1-11Publisher
INST CONTROL ROBOTICS & SYSTEMS, KOREAN INST ELECTRICAL ENGINEERS
DOI: 10.1007/s12555-013-0216-4
Keywords
Delay-range-dependent stability; exponential stability; neutral Markovian jump systems; perturbations
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Funding
- National Key Scientific Research Project [61233003]
- National Natural Science Foundation of China [61174061, 61074033, 60934006]
- Doctoral Fund Ministry Education of China [20093402110019]
- Fundamental Research Funds for the Central Universities
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The exponential stability for neutral delay Markovian jump systems with nonlinear perturbations and partially unknown transition rates is investigated in this paper. With creative Lyapunov functional and novel matrix inequalities analysis, delay-range-dependent and rate-dependent exponential stability conditions are presented by reciprocally convex lemma and free weighting matrices. Numerical examples are given to demonstrate the effectiveness of the proposed methods.
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