Stability of Cayley dynamic systems with impulsive effects

Abstract

Abstract Linear dynamic systems with impulsive effects are considered. For such a system we define a new impulsive exponential matrix. Necessary and sufficient conditions for exponential stability and boundedness have been established. The fundamental tool is an impulsive exponential matrix for exponential stability.

Keywords

• Dynamic systems
• Impulsive exponential matrix
• Cayley transform
• Regressive matrix