In this paper,the robust stability problem of genetic regulatory networks(GRNs) with mixed delays is investiga...
ZHANG Wenbing~1,FANG Jian-An~1,TANG Yang~(1,2) 1.College of Information Science and Technology,Donghua University,Shanghai 201620,P.R.China 2.Potsdam Institute for Climate Impact Research,Potsdam,Germany
In this paper, the pinning synchronization problem of stochastic delayed complex network （SDCN） is investigated by using a novel hybrid pinning controller. The proposed hybrid pinning controller is composed of adaptive controller and impulsive controller, where the two controllers are both added to a fraction of nodes in the network. Using the Lyapunov stability theory and the novel hybrid pinning controller, some sufficient conditions are derived for the exponential synchronization of such dynamical networks in mean square. Two numerical simulation examples are provided to verify the effectiveness of the proposed approach. The simulation results show that the proposed control scheme has a fast convergence rate compared with the conventional adaptive pinning method.
This paper discusses chaos synchronization of general chaotic system.Based on Lyapunov stability theory,two su...
XU Yuhua1,2,ZHOU Wuneng1,XIE Chengrong21 College of Information Science and Technology,Donghua University,Shanghai 201620,P.R.China2 Department of Maths,Yunyang Teachers’College,Hubei Shiyan 442000,P.R.China
In this paper,a new symmetrical five terms chaotic system is discussed.In comparison with those of existing si...
XU Yuhua 1,2,ZHOU Wuneng 1,FANG Jianan 1 1.College of Information Science and Technology,Donghua University,Shanghai 201620,P.R.China2.Department of Maths,Yunyang Teachers''College,Hubei Shiyan 442000,P.R.China
The stochastic stability problem was considered for a class of gene regulatory networks with mixed time-delays.The mixed time-delays under consideration comprise both discrete timevarying delays and distributed time-delays.By employing a new Lyapunov function and conducting stochastic analysis,a linear matrix inequality(LMI) approach was developed to derive the criteria ensuring stability.The proposed criteria can be checked by using Matlab LMI toolbox.A simple example was provided to demonstrate the good effectiveness and applicability of the proposed testing criteria.
This work is concerned with lag projective synchronization of chaotic systems with increasing order. The systems under consideration have unknown parameters and different structures. Combining the adaptive control method and feedback control technique, we design a suitable controller and parameter update law to achieve lag synchronization of chaotic systems with increasing order. The result is rigorously proved by the Lyapunov stability theorem. Moreover, corresponding simulation results are given to verify the effectiveness of the proposed methods.
