Abstract
This chapter is devoted to study the exponential stability of impulsive time-delay systems on time scales. Section 9.1 introduces and formulates impulsive time-delay systems on time scales. In Section 9.2, global exponential stability is discussed and sufficient conditions are provided by using Lyapunov-Razumikhin technique. Exponential stability is studied in Section 9.3 by the method of Lyapunov functionals. Stability results presented in this chapter extend and generalize the results introduced in Chapter 2 for discrete-time impulsive systems with time-delay to impulsive time-delay systems on hybrid time domains.
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