TY - JOUR JF - joc-isice JO - JoC VL - 12 IS - 2 PY - 2018 Y1 - 2018/6/01 TI - Asynchronous Stochastic Controller Design for a Class of Markov Jump Linear Systems TT - طراحی کنترل‌کننده تصادفی ناهماهنگ برای کلاس خاصی از سیستم های پرش مارکوف خطی N2 - This paper investigates asynchronous controller design problem for a class of continuous-time Markov jump linear systems. The mentioed asynchronous phenomenon is a case in which the system and the controller Markov chainsare not matched, however they are relevant according to certain probabilities. This phenomenon describes a realistic and practical situation which arises as a result of inaccurate observation of the system’s Markov chain. The proposed design scheme considers the closed-loop system as a unified Markov jump linear system and utulizes the multiple Lyapunov function approach. By this approach, firstly, the stabilizability of the closed-loop system is ensured and then the asynchronous state-feedback controller is synthesizesed. The designed controller is formulated in terms of linear matrix inequalities; which are easy to check. A numerical example illustrates the usefulness of the developed method. SP - 41 EP - 51 AU - Faraji-Niri, Mona AU - Jahed Motlagh, Mohammad Reza AD - Pooyesh Institiute of Higher Education KW - Asynchronous Control KW - Linear Matrix Inequality KW - Markov Jump Linear System KW - Stochastic Control. UR - http://joc.kntu.ac.ir/article-1-426-en.html DO - 10.29252/joc.12.2.41 ER -