Stability of the Zero Solution of Impulsive Differential Equations by the Lyapunov Second Method

作者: M.U. Akhmetov , A. Zafer

DOI: 10.1006/JMAA.2000.6864

关键词:

摘要: The paper is concerned with the stability of the zero solution of the impulsive system dx dt = ft, x , t ≠ θ i x Δx| t=θ i (x) = J i x , i ∈ N = (1, 2,…) , where Δx| t=θ ≔x(θ+)−x(θ), x(θ+)=lim t→θ …

参考文章(11)
A M Samoilenko, N A Perestyuk, Impulsive differential equations ,(1995)
Huibert Kwakernaak, Raphael Sivan, Linear Optimal Control Systems ,(1972)
Xinzhi Liu, Ratnam Pirapakaran, Global stability results for impulsive differential equations Applicable Analysis. ,vol. 33, pp. 87- 102 ,(1989) , 10.1080/00036818908839863
Shouchuan Hu, Differential equations with discontinuous right-hand sides☆ Journal of Mathematical Analysis and Applications. ,vol. 154, pp. 377- 390 ,(1991) , 10.1016/0022-247X(91)90044-Z
V Lakshmikantham, D D Bainov, P S Simeonov, Theory of Impulsive Differential Equations ,(1989)
V. Lakshmikantham, Xinzhi Liu, On quasi stability for impulsive differential systems Nonlinear Analysis-theory Methods & Applications. ,vol. 13, pp. 819- 828 ,(1989) , 10.1016/0362-546X(89)90074-6
S. I. Gurgula, A study of the stability of solutions of impulse systems by Lyapunov's second method Ukrainian Mathematical Journal. ,vol. 34, pp. 84- 87 ,(1982) , 10.1007/BF01086140
Philip Hartman, Ordinary differential equations ,(1964)