en عمومى General پژوهشي Research paper <div style="text-align: justify;"><span style="font-size:10.0pt"><span new="" roman="" style="font-family:" times="">This paper investigates the problem of exponential stability of switched systems with multiple time-varying delays. By using the multiple discontinuous Lyapunov function (MDLF) approach and the mode-dependent average dwell time (MDADT) switching signal, new conditions in the form of linear matrix inequalities (LMIs) are proposed, which is the first attempt in this area. These conditions guarantee the exponential stability of the switched system with stable and unstable subsystems where multiple time-varying delays are considered in the states. In this method all subsystems cannot be unstable, and switched system should compose of at least one stable subsystem. Furthermore, two examples are given to illustrate the effectiveness of the obtained theoretical results.</span></span></div> Stability Analysis, Switched Systems, Multiple Time Delay, Multiple Lyapunov Function. 27 36 http://jocee.kntu.ac.ir/browse.php?a_code=A-10-521-1&slc_lang=en&sid=1 Mohammad Mahdi Saberi saberi_mo@elec.iust.ac.ir 1003194753284600235 1003194753284600235 No Electrical and Electronic Engineering Department, Shahed University, Tehran, Iran Iman Zamani zamaniiman@shahed.ac.ir 1003194753284600236 1003194753284600236 Yes Electrical and Electronic Engineering Department, Shahed University, Tehran, Iran Saeed Ebadollahi s_ebadollahi@iust.ac.ir 1003194753284600237 1003194753284600237 No Department of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran