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The method of V. M. Popov for differential systems with random parameters

Published online by Cambridge University Press:  14 July 2016

Chris P. Tsokos
Chris P. Tsokos*
Affiliation:
Virginia Polytechnic Institute and State University, Blacksburg, Virginia
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Abstract

The aim of this paper is to investigate the existence of a random solution and the stochastic absolute stability of the differential systems (1.0)–(1.1) and (1.2)–(1.3) with random parameters. These objectives are accomplished by reducing the differential systems into a stochastic integral equation of the convolution type of the form (1.4) and utilizing a generalized version of V. M. Popov's frequency response method.

Type
Research Papers
Information
Journal of Applied Probability , Volume 8 , Issue 2 , June 1971 , pp. 298 - 310
Copyright
Copyright © Applied Probability Trust 1971 

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References

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