Abstract
This paper is concerned with the problem of admissibility analysis of Takagi–Sugeno fuzzy singular systems with time-varying delay. The time-delay is assumed to be available online and interval-like type. Based on delay partitioning technique and the free-weighting-matrix approach combined with the constructed Lyapunov–Krasovskii functional, a sufficient condition is obtained such that the system is regular, impulse free, and asymptotically stable. All obtained conditions are dependent on time-delay and partitioning number. These conditions are formulated in the form of linear matrix inequalities. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed theories.
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Acknowledgments
This work is supported in part by the National Natural Science Foundation of China under Grant No. 61463001, the Natural Science Foundation of Heilongjiang Province of China under Grant Nos. F201331 and F201440, Project funded by Heilongjiang Province Postdoctoral Science Foundation under Grant No. LBH-Z15043.
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Han, C., Zeng, Y., Zhang, H. et al. Admissibility Analysis for Nonlinear Singular System with Time-Delay Via T–S Fuzzy Model. Int. J. Fuzzy Syst. 19, 207–214 (2017). https://doi.org/10.1007/s40815-015-0138-9
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DOI: https://doi.org/10.1007/s40815-015-0138-9