New criteria for stochastic suppression and stabilization of hybrid functional differential systems |
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| Authors: | Song Zhu Peng Shi Cheng‐Chew Lim |
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| Affiliation: | 1. School of Mathematics, China University of Mining and Technology, Xuzhou, China;2. School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia |
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| Abstract: | This paper establishes new criteria for stochastic suppression and stabilization of hybrid functional differential systems with general 1‐sided polynomial growth condition. For an unstable nonlinear hybrid functional differential system with general 1‐sided polynomial growth condition, 2 independent Brownian noise processes are used to perturb the system into the stochastic hybrid differential system. Theoretical analysis shows that one of the nonlinear diffusion terms may suppress the explosive solution of deterministic system, and the other one can make the perturbed hybrid system almost surely stable with general decay rate. |
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| Keywords: | Markov chain polynomial growth condition stabilization stochastic hybrid functional differential systems suppression |
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