@Article{CMR-32-217, author = {Shao , Dianguo}, title = {Stochastic Maximum Principle for Optimal Control of Forward-Backward Stochastic Pantograph Systems with Regime Switching}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {32}, number = {3}, pages = {217--228}, abstract = {

In this paper, we derive the stochastic maximum principle for optimal control problems of the forward-backward Markovian regime-switching system. The control system is described by an anticipated forward-backward stochastic pantograph equation and modulated by a continuous-time finite-state Markov chain. By virtue of classical variational approach, duality method, and convex analysis, we obtain a stochastic maximum principle for the optimal control.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2016.03.04}, url = {http://global-sci.org/intro/article_detail/cmr/18893.html} }