Abstract
This paper considers the robust stability for a class of linear neutral systems with interval time-varying delay and nonlinear perturbations. A Lyapunov Krasovskii functional, which takes the range information of the time-varying delay into account, is proposed to analyze the stability. A novel approach is established for estimating the upper bound on the time derivative of the Lyapunov Krasovskii functional, and by utilizing free weighting matrices, new delay-range-dependent stability criteria are introduced in terms of linear matrix inequalities. Numerical examples are given to show the effectiveness of the proposed approach.
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© 2011 Springer-Verlag Berlin Heidelberg
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Liu, D., Xu, Zd., Liu, C. (2011). Novel Robust Stability Criteria for Neutral Systems with Interval Time-Varying Delays and Nonlinear Perturbations. In: Lin, S., Huang, X. (eds) Advances in Computer Science, Environment, Ecoinformatics, and Education. CSEE 2011. Communications in Computer and Information Science, vol 216. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23345-6_48
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DOI: https://doi.org/10.1007/978-3-642-23345-6_48
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23344-9
Online ISBN: 978-3-642-23345-6
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