In this paper, the exponential synchronization of dynamical network with distributed time delays is investigated. The intermittent controllers are designed to achieve the exponential synchronization. Based on the Lyapunov function method and the mathematical analysis technique, some synchronization criteria with respect to the system parameters, control gain and control rate are presented. From the criteria, for any given dynamical network, the needed values of control gains and rate can be easily estimated. Finally, two numerical simulations are performed to verify the derived theoretical results.
This paper looks at Memetic Algorithm for solving timetabling problems. We present a new memetic algorithm which consists of global search algorithm and local search algorithm. In the proposed method, a genetic algorithm is chosen for global search algorithm while a simulated annealing algorithm is used for local search algorithm. In particular, we could get an optimal solution through the .NET with the real data of JiangXi Normal University. Experimental results show that the proposed algorithm can solve the university exam timetabling problem efficiently.
In this paper, exponential synchronization in complex-variable network with distributed delays is investigated. By utilizing intermittent control scheme, some effective controllers are designed. Based on the Lyapunov function method and mathematical analysis technique, some synchronization criteria with respect to the system parameters, control gain and control rate are presented. From the criteria, for any given dynamical network, the needed values of control gains and rate can be easily estimated. Finally, two numerical simulations are performed to verify the derived theoretical results.
In this paper, we provide polynomial time winning strategies for three variants of (s, t)-wythoff's game using some special numeration systems. The first one is the game of Liu and Zhou (Discrete Applied Math 179:28-43, 2014), which is an extension of (s, t)-Wythoff's game by adjoining to it some subsets of its P-positions as additional moves. The second one is a restriction of (s, t)-Wythoff's game, investigated by Liu and Li (Electron J Combin 21(2): P2.44, 2014), where players are restricted to take even tokes in every move. The final one is new defined and obtained from the second one by adjoining to it some of its P-positions as additional moves.
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