Stability of a random diffusion with linear drift

Basak, Gopal K. ; Bisi, Arnab ; Ghosh, Mrinal K. (1996) Stability of a random diffusion with linear drift Journal of Mathematical Analysis and Applications, 202 (2). pp. 604-622. ISSN 0022-247X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00222...

Related URL: http://dx.doi.org/10.1006/jmaa.1996.0336

Abstract

We consider a linear system with Markovian switching which is perturbed by Gaussian type noise. If the linear system is mean square stable then we show that under certain conditions the perturbed system is also stable. We also show that under certain conditions the linear system with Markovian switching can be stabilized by such noisy perturbation.

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