Impulsive synchronization of chaotic Lur'e systems via partial states

Synchronization for Time-Delay Lur’e Systems with Sector and Slope Restricted Nonlinearities Under Communication Constraints

“…Theorem 1 For the given matrix K and positive integer N , system (12) is globally asymptotically stable if there exist symmetric and positive definite matrices 3,4,5,6,7,8,9), two diagonal matrices D > 0 and L > 0 such that the following linear matrix inequalities (LMIs) are satisfied:…”

“…systems can represent a class of nonlinear systems, such as Chua's circuit, n-scroll attractors, and hyperchaotic attractors, the problem of stabilization and synchronization for chaotic Lur'e systems has been investigated by many researchers [1,4,15,18,19,21,22,26,27,33,34]. In particular, with consideration of the propagation delay, frequently encountered in the remote master-slave synchronization scheme, some delay-dependent criteria for the design of delayed feedback controllers were proposed to achieve the master-slave synchronization of Lur'e systems [1,15,18,19,27,34].…”

Synchronization criteria of chaotic Lur׳e systems with delayed feedback PD control

“…It has been known that many nonlinear systems, such as Chua's circuit [1], n-scroll attractors [2] and hyperchaotic attractors [3], can be represented in the Lur'e form which consist of a linear dynamical system and a feedback nonlinearity satisfying sector bound constraints. For this reason, the master-slave synchronization of chaotic Lur'e systems has become an important topic, and a lot of synchronization criteria have been proposed [4,5].…”

p-moment stability of stochastic impulsive differential equations and its application in impulsive control

“…For the abrupt change, there may emerge jumps in the evolution, which lead to the non-smooth effects of the system. In recent years, significant progress has been made in the study of impulsive differential equations [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] : Lakshmikantham et al [1] brought forward a lot of basic methods firstly, which were used in the study of impulsive differential equations. And an important theory, the stability of an impulsive control scheme is equivalent to the stability of trivial solution of an impulsive differential equation, was proved in ref.…”