Abstract
This chapter is devoted to the stability problem of time-delay systems using time-domain approach. Some basic concepts of time-delay systems are introduced. Then, some simple Lyapunov-Krasovskii funtionals, complete Quadratic Lyapunov-Krasovskii functional and discretization scheme are introduced, with connections and extent of conservatism compared. The issue of time-varying delays are also discussed. The concept of Razumikhin Theorem is introduced. An alternative model of coupled difference-differential equations and its stability problem are also introduced.
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Gu, K., Niculescu, SI. 4 Stability Analysis of Time-delay Systems: A Lyapunov Approach. In: Loría, A., Lamnabhi-Lagarrigue, F., Panteley, E. (eds) Advanced Topics in Control Systems Theory. Lecture Notes in Control and Information Science, vol 328. Springer, London. https://doi.org/10.1007/11583592_4
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DOI: https://doi.org/10.1007/11583592_4
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Publisher Name: Springer, London
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