论文信息 - Strict Stability of Impulsive Differential Equations

Strict Stability of Impulsive Differential Equations

AbstractIn this paper, we will extend the strict stability to impulsive differential equations. By using Lyapunov functions, we will get some criteria for the strict stability of impulsive differential equations, and we can see that impulses do contribute to the system's strict stability behavior. An example is also given in this paper to illustrate the efficiency of the obtained results.

Yu Zhang | Ji Tao Sun

[1] Qidi Wu,et al. Less conservative conditions for asymptotic stability of impulsive control systems , 2003, IEEE Trans. Autom. Control..

[2] Jitao Sun,et al. Impulsive control of a nuclear spin generator , 2003 .

[3] Y. P. Zhang,et al. Stability analysis of impulsive control systems , 2003 .

[4] Tao Yang,et al. Impulsive Systems and Control: Theory and Applications , 2001 .

[5] Ram N. Mohapatra,et al. Strict stability of differential equations , 2001 .

[6] Y. Zhang,et al. Strict practical stability of delay differential equation , 2001, Appl. Math. Comput..

[7] Jitao Sun,et al. Boundedness of the solutions of impulsive differential systems with time-varying delay , 2004, Appl. Math. Comput..

[8] Han Maoan,et al. Competition in the chemostat: convergence of a model with delayed response in growth☆ , 2003 .

[9] Jianhua Shen. Razumikhin techniques in impulsive functional differential equations , 1999 .

[10] A. A. Soliman. Stability criteria of impulsive differential systems , 2003, Appl. Math. Comput..

[11] Jitao Sun,et al. Stability criteria of impulsive differential systems , 2004, Appl. Math. Comput..

[12] Xinzhi Liu,et al. Stability and robustness of quasi-linear impulsive hybrid systems☆ , 2003 .