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Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay through a Switching Signal
ARTICLE

, Department of Computer Science and Information Engineering National Quemoy University, Taiwan ; , Department of Life Science-National Taiwan Normal University and Department of Sports and Leisure National Quemoy University Kinmen, Taiwan ; , Department of Marine Engineering, National Kaohsiung Marine University Kaohsiung, Taiwan ; , Department of Electronic Engineering, National Quemoy University Kinmen, Taiwan ; , Department of Computer Science and Information Engineering National Quemoy University, Taiwan ; , Department of Marine Engineering, National Kaohsiung Marine University Kaohsiung, Taiwan

Journal of Applied Research and Technology Volume 12, Number 6, ISSN 1665-6423 Publisher: Elsevier Ltd

Abstract

This paper deals with the switching signal design to robust exponential stability for uncertain discrete-time switched systems with interval time-varying delay. The lower and upper bounds of the time-varying delay are assumed to be known. By construction of a new Lyapunov-Krasovskii functional and employing linear matrix inequality, some novel sufficient conditions are proposed to guarantee the global exponential stability for such system with parametric perturbations by using a switching signal. In addition, some nonnegative inequalities are used to provide additional degrees of freedom and reduce the conservativeness of systems. Finally, some numerical examples are given to illustrate performance of the proposed design methods.

Citation

Chen, J.D., Wu, I.T., Lien, C.H., Lee, C.T., Chen, R.S. & Yu, K.W. (2014). Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay through a Switching Signal. Journal of Applied Research and Technology, 12(6), 1187-1197. Elsevier Ltd. Retrieved January 26, 2020 from .

This record was imported from Journal of Applied Research and Technology on January 29, 2019. Journal of Applied Research and Technology is a publication of Elsevier.

Full text is availabe on Science Direct: http://dx.doi.org/10.1016/S1665-6423(14)71677-3

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