TY - JOUR T1 - Synchronization of Two Lur’e Differential Inclusions with Sector Input Nonlinearity and Unknown Parameters TT - سنکرون‌سازی دو شمول‌ دیفرانسیلی لور با وجود پارامترهای نامعلوم و غیرخطی‌ساز شعاعی در مسیر ورودی‌های کنترلی JF - joc-isice JO - joc-isice VL - 7 IS - 2 UR - http://joc.kntu.ac.ir/article-1-113-en.html Y1 - 2013 SP - 57 EP - 69 KW - Lur\'e differential inclusion KW - Sector nonlinearity KW - Master and slave Lur\'e systems KW - Synchronization. N2 - This paper deals with the synchronization of two Lur’e differential inclusions containing sector nonlinearity. Lyapunov stability theorem is employed to design the control inputs. The controllers are designed considering three important practical features in physical systems. First, differential equation part of the Lur’e differential inclusion is assumed to be convex. Second, it is presumed that parameters of the Lur’e differential inclusion are not completely known. Third, sector nonlinearities are considered on control inputs applied to the Lur’e differential inclusions. To assess performance and effectiveness of the proposed controllers a numerical example and a rotor dynamic system are simulated. M3 ER -