Abstract
The problem of robust stability for a class of stochastic time-delay systems with norm bounded and nonlinear uncertainties is considered. By combining Lyapunov-Krasovskii functional method and Jensen inequality technique, several robustly exponential stability criteria are investigated for the class of systems. In order to save computer time and reduce conservativeness of results, the approach proposed here avoids to use delay fraction, free weighting matrix and slack matrix. Mathematical and numerical comparisons indicate that the approach proposed in this paper may be more effective than the existing ones.
Supported by Research Fund of Heilongjiang Provincial Education Department(No. 11551363) and by Foundation of Heilongjiang University for youth Teacher(No. QL201008).
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Wang, Y., Lv, J., Zhou, Y. (2011). Improved Exponential Stability Criteria of Uncertain Stochastic System with Time-Varying Delay. In: Wu, Y. (eds) Advances in Computer, Communication, Control and Automation. Lecture Notes in Electrical Engineering, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25541-0_70
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DOI: https://doi.org/10.1007/978-3-642-25541-0_70
Publisher Name: Springer, Berlin, Heidelberg
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