BDSDEs with Markov Chains and applications in Markovian-Switching LQ problems for backward doubly stochastic system
Ran Tao, Zhen Wu
Abstract
Ran Tao, Zhen Wu
Abstract
In this paper, we introduce a new type of BDSDEs with Markov Chains. We also consider the backward doubly stochastic systems with Markovian-Switching described by the BDSDEs with Markov Chains and obtain the unique optimal control for the stochastic switching LQ problems.
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In this paper, we introduce a new type of BDSDEs with Markov Chains. We also consider the backward doubly stochastic systems with Markovian-Switching described by the BDSDEs with Markov Chains and obtain the unique optimal control for the stochastic switching LQ problems.
Key concepts: Markov chain, Markov process, Examples of Markov chains, Computer science, Stochastic process, Markov property, Markov renewal process, Mathematical optimization