Stability of Impulsive Systems with Time-Delay
This chapter introduces the fundamental theory of impulsive functional differential equations and studies exponential stability of general nonlinear time-delay systems with delayed impulsive effects, including discrete delays and distributed delays. Stability results are constructed by using the method of Lyapunov functionals and Razumikhin technique, respectively. Some results will be used in Chapters 5 and 6.
- 6.G. Ballinger, Qualitative theory of impulsive delay differential equations. PhD Thesis, University of Waterloo (2000)Google Scholar