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On exponential stability of neutral delay Markovian jump systems with nonlinear perturbations and partially unknown transition rates

  • Control Theory
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Abstract

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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Authors and Affiliations

  1. Department of Automation, University of Science and Technology of China, Hefei, China

    Xinghua Liu & Hongsheng Xi

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  1. Xinghua Liu
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  2. Hongsheng Xi
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Correspondence to Xinghua Liu.

Additional information

Recommended by Associate Editor Choon Ki Ahn under the direction of Editor Hyungbo Shim.

This work was supported in part by the National Key Scientific Research Project (61233003), the National Natural Science Foundation of China (61174061, 61074033 and 60934006), the Doctoral Fund Ministry Education of China, (20093402110019) and the Fundamental Research Funds for the Central Universities.

Xinghua Liu received his bachelor degree from Computational Mathematics of Math College, Jilin University in 2009. In his undergraduate study, he got the scholarship for four consecutive years and took charge of a College Students’ Innovative Plan. Now he is a Ph.D. candidate in University of Science and Technology of China (USTC). In his postgraduate stage, his research interests include stochastic estimation and control, continuous time Markov decision processes, optimization and operations research.

Hongsheng Xi received his B.S. and M.S. degrees in Applied Mathematics from University of Science and Technology of China (USTC), Hefei, China, in 1980 and 1985, respectively. He is currently the Dean of the School of Information Science and Technology, USTC. He also directs the Laboratory of Network Communication System and Control. His research interests include stochastic control systems, discrete-event dynamic systems, network performance analysis and optimization, and wireless communications.

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Liu, X., Xi, H. On exponential stability of neutral delay Markovian jump systems with nonlinear perturbations and partially unknown transition rates. Int. J. Control Autom. Syst. 12, 1–11 (2014). https://doi.org/10.1007/s12555-013-0216-4

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  • DOI: https://doi.org/10.1007/s12555-013-0216-4

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