Stability for time varying linear dynamic systems on time scales

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:176

Article

DaCunha, JJ

关键词: stability;    time scale;    Lyapunov;    time varying;    linear system;    slowly varying;    continuous;    discrete;   

DOI  :  10.1016/j.cam.2004.07.026

来源: Elsevier

【 摘 要 】

We study conditions under which the solutions of a time varying linear dynamic system of the form x(Delta)(t)=A(t)x(i) are stable on certain time scales. We give sufficient conditions for various types of stability, including Lyapunov-type stability criteria and eigenvalue conditions on slowly varying systems that ensure exponential stability. Finally, perturbations of the unforced system are investigated, and an instability criterion is also developed. (C) 2004 Elsevier B.V. All rights reserved.

【 授权许可】

Free