Abstract
This paper deals with the H ∞ performance analysis problems for a class of Markovian jump systems with partially known transition rates and time-delays which are time varying and depend on system mode. Following the recent study on the class of systems, improved sufficient conditions for H ∞ performance of the underlying systems are derived in form of LMI by constructing a new Lyapunov-Krasovskii functional. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.
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Recommended by Editorial Board member Ju Hyun Park under the direction of Editor Young Il Lee.
Xudong Zhao was born in Harbin, China, on July. 7. 1982. He received his B.S. degree in Automation from Harbin Institute of Technology in 2005. He is currently pursing a Ph.D. degree in Control Science and Engineering from Space Control and Inertial Technology Center, Harbin Institute of Technology. His research interests include Markovian jump systems, H∞ control and switched systems.
Qingshuang Zeng received his B.S. and M.S. degrees in Control Science and Engineering from Harbin Institute of Technology in 1987 and 1990, respectively, and his Ph.D. degree at Control Science and Engineering from Harbin Institute of Technology in 1997. He is currently a Professor at the Space Control and Inertial Technology Center, Harbin Institute of Technology His research interests include switched systems, control theory, H∞ control and inertial technology.
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Zhao, X., Zeng, Q. Delay-dependent H ∞ performance analysis for Markovian jump systems with mode-dependent time varying delays and partially known transition rates. Int. J. Control Autom. Syst. 8, 482–489 (2010). https://doi.org/10.1007/s12555-010-0238-0
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DOI: https://doi.org/10.1007/s12555-010-0238-0