CAJ | 학술논문

研究了一类转移概率部分未知的随机时滞Markov跳变系统的镇定问题。首先，构建Lyapunov-Krasovkii函数的方法，设计模态依赖的状态反馈控制器，保证了闭环系统的随机稳定性。其次，将其归结为求解一组线性矩阵不等式（ LMIs）的可行性问题，通过求解线性矩阵不等式的方式，获得了充分性条件。最后，数值仿真验证结论的有效性。
연구료일류전이개솔부분미지적수궤시체Markov도변계통적진정문제。수선，구건Lyapunov-Krasovkii함수적방법，설계모태의뢰적상태반궤공제기，보증료폐배계통적수궤은정성。기차，장기귀결위구해일조선성구진불등식（ LMIs）적가행성문제，통과구해선성구진불등식적방식，획득료충분성조건。최후，수치방진험증결론적유효성。
The paper was concerned with stabilization for stochastic time-delayed Markov switching systems with partly unknown transition rates. Firstly,a mode-dependent state feedback controller was designed to guarantee stochastic stability of the corresponding closed-loop system by constructing Lyapunov-Krasovskii methodology. Then,sufficient conditions were built in the form of linear matrix inequalities( LMIs). Finally,a numerical example was given to demonstrate the validity of the main results.