我所刘峰老师课题组完成的论文《Controllability Gramian for Stochastic Game-Based Systems》于2023-10在《IEEE Transactions on Automatic Control》正式发表。论文摘要如下：
Abstract: This paper is concerned with the exact controllability of a linear stochastic game-based control system (SGBCS, for short) with time-variant random coefficients. Some necessary conditions and sufficient conditions for the exact terminal-controllability of SGBCS are obtained. Then, it is proved that the exact controllability of SGBCS, the non-singularity of a generalized version of Gramian matrix, the validity of an observability inequality for the adjoint equation, and the unique solvability of a family of minimization problems are all equivalent. An admissible control for the regulator is constructed in closed form which can steer the macrostate from any existing initial vector to any desired terminal random variable.
引用信息：Feng Liu, Zhiyong Yu. Controllability Gramian for Stochastic Game-Based Systems. IEEE Transactions on Automatic Control, 2022-12-26. DOI: 10.1109/tac.2022.3232181