Finite-time stabilization for stochastic reaction-diffusion systems with Markovian switching via boundary control

作者：

Highlights：

• The criterion of finite-time stability is derived for SMRDSs based on a designed boundary controller.

• The sufficient condition of SMRDSs is presented in case of the TRs being partially unknown.

• For the SMRDSs, the fact that the case of completely known TRs is the special case of partially unknown TRs is discovered through our theoretical results.

摘要

•The criterion of finite-time stability is derived for SMRDSs based on a designed boundary controller.•The sufficient condition of SMRDSs is presented in case of the TRs being partially unknown.•For the SMRDSs, the fact that the case of completely known TRs is the special case of partially unknown TRs is discovered through our theoretical results.

论文关键词：Boundary control,Finite-time stability,Markovian switching,Partially unknown transition rates,Stochastic reaction-diffusion systems

论文评审过程：Received 25 November 2019, Revised 10 April 2020, Accepted 24 May 2020, Available online 13 June 2020, Version of Record 13 June 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125422