Abstract
This paper concerns a problem of delay-dependent stability of a class of nonlinear continuous-time systems with time delays, based on the fuzzy hyperbolic model (FHM). FHM is a universal approximator, and can be used to establish the model for unknown complex systems. Moreover, the main advantage of using FHM over T-S fuzzy model is that no premise structure identification is need and no completeness design of premise variables space is need. Also an FHM is a kind of valid global description and nonlinear model inherently. The proposed method is addressed by solving a set of linear matrix inequalities (LMIs). A general Lyapunov-Krasovskii functional are used and some additional free-weighting matrices, which bring much flexibility in solving LMIs, are introduced during the proof. The results then have easily been extended to a system with either polytopic-type or norm-bounded uncertainties. A simulation example is given to validate the proposed results.
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© 2006 Springer-Verlag Berlin Heidelberg
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Zhang, H., Yang, J. (2006). Delay-Dependent Stability of a Class of Nonlinear Systems with Time Delays Based on Fuzzy Hyperbolic Model. In: Huang, DS., Li, K., Irwin, G.W. (eds) Computational Intelligence. ICIC 2006. Lecture Notes in Computer Science(), vol 4114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37275-2_3
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DOI: https://doi.org/10.1007/978-3-540-37275-2_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37274-5
Online ISBN: 978-3-540-37275-2
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