TY - GEN
T1 - Optimal H∞ synchronization of general discrete-time delayed chaotic neural networks via dynamic output feedback
AU - Liu, Meiqin
AU - Li, X. Rong
PY - 2009
Y1 - 2009
N2 - This paper deals with robust H∞ synchronization of general discrete-time chaotic neural networks with external disturbance. This general discrete-time model, which is the interconnection of a linear delayed dynamic system and a bounded static nonlinear operator, covers not only several well-known discrete-time delayed neural networks, such as Hopfield neural networks, cellular neural networks (CNNs), bidirectional associative memory (BAM) networks, and recurrent multilayer perceptrons (RMLPs), but also Lur'e systems. Based on Lyapunov stability and H∞ control theories, dynamic output feedback controllers are established to not only guarantee exponentially stable synchronization of both master and slave systems with time delays, but also reduce the effect of external disturbance to an H ∞-norm constraint. Furthermore, two classes of optimal controllers are presented, one minimizing the H∞-norm bound, the other maximizing the exponential synchronization rate. The control design equations are shown to be a set of linear matrix inequality (LMI) standard problems which can be easily solved by various convex optimization algorithms to determine the optimal H∞ control laws and the optimal exponential synchronization rates.
AB - This paper deals with robust H∞ synchronization of general discrete-time chaotic neural networks with external disturbance. This general discrete-time model, which is the interconnection of a linear delayed dynamic system and a bounded static nonlinear operator, covers not only several well-known discrete-time delayed neural networks, such as Hopfield neural networks, cellular neural networks (CNNs), bidirectional associative memory (BAM) networks, and recurrent multilayer perceptrons (RMLPs), but also Lur'e systems. Based on Lyapunov stability and H∞ control theories, dynamic output feedback controllers are established to not only guarantee exponentially stable synchronization of both master and slave systems with time delays, but also reduce the effect of external disturbance to an H ∞-norm constraint. Furthermore, two classes of optimal controllers are presented, one minimizing the H∞-norm bound, the other maximizing the exponential synchronization rate. The control design equations are shown to be a set of linear matrix inequality (LMI) standard problems which can be easily solved by various convex optimization algorithms to determine the optimal H∞ control laws and the optimal exponential synchronization rates.
UR - https://www.scopus.com/pages/publications/77950854519
U2 - 10.1109/CDC.2009.5399651
DO - 10.1109/CDC.2009.5399651
M3 - 会议稿件
AN - SCOPUS:77950854519
SN - 9781424438716
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 6744
EP - 6749
BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Y2 - 15 December 2009 through 18 December 2009
ER -