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International Journal of Control Volume 7, 1968 - Issue 4
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Original Articles

Some Sufficient Conditions for the Stability of a Linear Time-varying SystemFootnote†

E. J. DAVISON Department of Electrical Engineering, University of Toronto, Canada
Pages 377-380 | Received 22 Dec 1967, Published online: 16 Jan 2007
 
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Abstract

Sufficient conditions are given for the stability of a time-varying linear system given by x = A(t)x. It is shown that if the instantaneous eigenvalues of the system are always far enough in the left-hand part of the complex plane and if the instantaneous eigenvectors of A′(t) are varying slowly enough, then the system will always be stable.

Notes

†Communicated by Dr. A. T. Fuller.

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