论文信息 - Practical stability of nonlinear differential equation with initial time difference

Practical stability of nonlinear differential equation with initial time difference

This paper develops the concept of practical stability to nonlinear differential equations with solutions starting with different initial times. Several practical stability criteria of nonlinear dynamical systems relative to initial time difference are presented by employing two Lyapunov-like functions. The method of two Lyapunov-like functions enables us to obtain results under weaker assumptions.

An Li | Xinyu Song | Senlin Li

[1] V. Lakshmikantham,et al. Differential Inequalities with Initial Time Difference and Applications , 1999 .

[2] Farzana A. McRae. Perturbing Lyapunov functions and stability criteria for initial time difference , 2001, Appl. Math. Comput..

[3] Y.-F. Ma,et al. Hopf Bifurcation and Chaos Analysis of a Microbial Continuous Culture Model with Time Delay , 2006 .

[4] F. A. Mcrae. Practical Stability of Impulsive Control Systems , 1994 .

[5] I. Stamova. Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations , 2007 .

[6] A. Michel,et al. Generalized practical stability analysis of discontinuous dynamical systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[7] Yu Zhang,et al. Practical stability of impulsive functional differential equations in terms of two measurements , 2004 .

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

[9] Xinyu Song,et al. Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions , 2008 .