Stability for time varying linear dynamic systems on time scales
نویسنده
چکیده
Westudy conditions underwhich the solutions of a timevarying linear dynamic systemof the formx (t)=A(t)x(t) 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. © 2004 Elsevier B.V. All rights reserved.
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تاریخ انتشار 2004