Asynchronous Control Design of Continuous-time Markovian Jump Systems with Bounded Time-varying Transition Rates
Ngoc Anh Nguyen, Sung Kim · 2019
The asynchronous control design of continuous-time Markovian jump systems with bounded time-varying transition rates is addressed in this paper. According to the framework of parameterized linear matrix inequalities (PLMIs), essential stabilization conditions are established with consideration on dissipativity performance and then transform to solvable sets of linear matrix inequalities (LMIs) under our proposed method. Especially, our technique is derived from not only time-varying system modes but also asynchronous control modes transition rates. The effectiveness of our method is then illustrated through our numerical example.