TY - JOUR
T1 - Impulsive synchronization of chaotic Lur'e systems via partial states
AU - Chen, Wu-Hua
AU - Lu, Xiaomei
AU - Chen, Fu
PY - 2008
Y1 - 2008
N2 - In this Letter, the problem of impulsive synchronization of two identical Lur'e systems via partial states is studied. The problem arises in the situation when only partial states of the driven systems are available. By using the method of the variation of parameters for linear impulsive systems and some analysis technique, a sufficient condition for the existence of the impulsive control law for synchronization via partial states is derived. The sufficient condition is given in terms of linear matrix inequalities concerning the interconnection matrices. By using this result, we propose a new impulsive synchronization scheme for a class of Lur'e systems. The new impulsive synchronization scheme only exerts the impulsive input on partial states of the driven system and is characterized by a set of conditions related to the impulsive interval bound, the impulsive magnitude and a coupling condition between them. The proposed impulsive synchronization method is illustrated through Chua’s circuit.
AB - In this Letter, the problem of impulsive synchronization of two identical Lur'e systems via partial states is studied. The problem arises in the situation when only partial states of the driven systems are available. By using the method of the variation of parameters for linear impulsive systems and some analysis technique, a sufficient condition for the existence of the impulsive control law for synchronization via partial states is derived. The sufficient condition is given in terms of linear matrix inequalities concerning the interconnection matrices. By using this result, we propose a new impulsive synchronization scheme for a class of Lur'e systems. The new impulsive synchronization scheme only exerts the impulsive input on partial states of the driven system and is characterized by a set of conditions related to the impulsive interval bound, the impulsive magnitude and a coupling condition between them. The proposed impulsive synchronization method is illustrated through Chua’s circuit.
UR - http://handle.uws.edu.au:8081/1959.7/535923
U2 - 10.1016/j.physleta.2008.03.045
DO - 10.1016/j.physleta.2008.03.045
M3 - Article
SN - 0375-9601
VL - 372
SP - 4210
EP - 4216
JO - Physics Letters. Section A : General , Atomic and Solid State Physics
JF - Physics Letters. Section A : General , Atomic and Solid State Physics
IS - 23
ER -