On the Exponential Stability of Switching-Diffusion Processes with Jumps

Chenggui Yuan; Jianhai Bao

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arXiv · 1109.1380

On the Exponential Stability of Switching-Diffusion Processes with Jumps

Chenggui Yuan·Jianhai Bao

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Abstract

In this paper we focus on the pathwise stability of mild solutions for a class of stochastic partial differential equations which are driven by switching-diffusion processes with jumps. In comparison to the existing literature, we show that: (i) the criterion to guarantee pathwise stability does not rely on the moment stability of the system; (ii) the sample Lyapunov exponent obtained is generally smaller than that of the counterpart driven by a Wiener process; (iii) due to the Markovian switching the overall system can become pathwise exponentially stable although some subsystems are not stable.

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BibTeX RIS

Chenggui Yuan, Jianhai Bao. 2011-09-07. On the Exponential Stability of Switching-Diffusion Processes with Jumps. https://arxiv.org/abs/1109.1380

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