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Advances in Differential Equations and Control Processes

Advances in Differential Equations and Control Processes
Volume 17, Issue 2, Pages 89 - 97 (May 2016)
http://dx.doi.org/10.17654/DE017020089

ON THE STABILITY OF LINEAR TIME-VARYING SYSTEMS WITH CONVERGENT COEFFICIENTS

M. F. M. Naser, S. K. Q. Al-Omari and O. Bdair

Abstract:

In this paper, we derive sufficient conditions for a global exponential stability of a second order linear time-varying system. With identified conditions, our system is exponentially stable regardless of the differentiability of the coefficient functions. As an application to our results, two simulations have been provided.

Keywords and phrases:

linear time-varying system, (global) exponential stability.

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