Stability analysis of impulsive control systems with finite and infinite delays.
This paper studies impulsive control systems with finite and infinite delays. Several stability criteria are established by employing the largest and smallest eigenvalue of matrix. Our sufficient conditions are less restrictive than the ones in the earlier literature. Moreover, it is shown that by using impulsive control, the delay systems can be stabilized even if it contains no stable matrix. Finally, some numerical examples are discussed to illustrate the theoretical results.
School of Mathematical Sciences, Shandong Normal University, Ji'nan 250014, China.
Xuling
X
Wang
School of Mathematical Sciences, Shandong Normal University, Ji'nan 250014, China.
Xiaodi
X
Li
Department of Mathematics, Technical University of Sofia, 8800 Sliven, Bulgaria.
Gani Tr
GT
Stamov
D000465:Algorithms; D008962:Models, Theoretical