Stability of the zero solution of impulsive differential equations by the Lyapunov second method

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:248

Article

Akhmetov, MU ; Zafer, A

关键词: stability;    instability;    Lyapunov's second method;    impulse effect;    variable moments;   

DOI  :  10.1006/jmaa.2000.6864

来源: Elsevier

【 摘 要 】

The paper is concerned with the stability of the zero solution of the impulsive system dx/dt = f(t, x), t not equal theta(i)(x) Delta x\t = theta(i)(x) = J(i)(x), i is an element of N = {1,2...}, where Delta x\(t=theta) := x(theta +) - x(theta), x(theta +) = lim(t -->theta) +x(t). The Lyapunov second method is used as a tool in obtaining the criteria for stability, asymptotic stability, and instability of the trivial solution. (C) 2000 Academic Press.

【 授权许可】

Free