Jitao Sun

Tongji University, Shanghai, Shanghai Shi, China

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Publications (171)215.93 Total impact

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    ABSTRACT: In this paper, a delayed SLBS computer virus model is firstly proposed. To the best of our knowledge, this is the first time to discuss the optimal control of the SLBS model. By using the optimal control strategy, we present an optimal strategy to minimize the total number of the breakingout computers and the cost associated with toxication or detoxication. We show that an optimal control solution exists for the control problem. Some examples are presented to show the efficiency of this optimal control.
    Physica A: Statistical Mechanics and its Applications 06/2015; 427. · 1.72 Impact Factor
  • Jinghui Suo, Jitao Sun
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    ABSTRACT: In this paper, we investigate the asymptotic stability of differential systems with impulsive effects suffered by logic choice. First, we give the expression of system with logic selected impulsive effects, which is a hybrid system. Second, by using semi-tensor product, a criterion of asymptotic stability for the system is provided. Third, we study the linearly coupled system with impulsive effects under logic choice and give a sufficient condition for asymptotic stability. Finally, a numerical simulation is given to illustrate the effectiveness of our results.
    Automatica 11/2014; · 3.13 Impact Factor
  • Tao Fang, Jitao Sun
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    ABSTRACT: In this paper, the stability of complex-valued impulsive and switching system is addressed. By using switched Lyapunov functions on a complex field, some new stability criteria of complex-valued impulsive and switching systems are established, which not only generalize some known results in the literature, but also greatly reduce the complexity of analysis and computation. As an application, a new hybrid impulsive and switching feedback controller for the complex-valued chaotic Lü system is designed.
    Nonlinear Analysis Hybrid Systems 11/2014; 14:38–46. · 1.79 Impact Factor
  • Hao Chen, Jitao Sun
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    ABSTRACT: In the present paper, we discuss the stabilization and controllability issues of the hybrid switching and impulsive higher order Boolean networks. First, the hybrid switching and impulsive controller is introduced. Second, the algebraic form of the system is given. Third, sufficient and necessary conditions for the stabilization and controllability of the system are presented, respectively. At last, an illustrative example shows the effectiveness of the main results.
    Neurocomputing 10/2014; 142:458–463. · 2.01 Impact Factor
  • Tao Fang, Jitao Sun
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    ABSTRACT: This brief points out two mistakes in a recently published paper on complex-valued recurrent neural networks (RNNs). Moreover, a new condition for the complex-valued activation function is presented, which is less conservative than the Lipschitz condition that is widely assumed in the literature. Based on the new condition and linear matrix inequality, some new criteria to ensure the existence, uniqueness, and globally asymptotical stability ofthe equilibrium point of complex-valued RNNs with time delays are established. A numerical example is given to illustrate the effectiveness of the theoretical results.
    IEEE transactions on neural networks and learning systems 09/2014; 25(9):1709-1713. · 4.37 Impact Factor
  • Lijuan Chen, Jitao Sun
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    ABSTRACT: In this paper, we consider an SIRS epidemic model with vaccination on heterogeneous networks. By constructing suitable Lyapunov functions, global stability of the disease-free equilibrium and the endemic equilibrium of the model is investigated. Also we firstly study an optimally controlled SIRS epidemic model on complex networks. We show that an optimal control exists for the control problem. Finally some examples are presented to show the global stability and the efficiency of this optimal control. These results can help in adopting pragmatic treatment upon diseases in structured populations.
    Physica A: Statistical Mechanics and its Applications 09/2014; 410:196–204. · 1.72 Impact Factor
  • Tao Fang, Jitao Sun
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    ABSTRACT: Since many systems such as quantum system, complex-valued neural network and Lorenz system are complex-valued differential system, in this paper, the stability of complex-valued impulsive system with delay is addressed. By taking advantage of Lyapunov function in complex field, some new criteria for global exponential stability are established, which not only generalize some known results in literature but also greatly reduce the complexity of analysis and computation. As an application, a new impulsive controller for complex-valued Lü system with delay is designed.
    Applied Mathematics and Computation 08/2014; 240:102–108. · 1.35 Impact Factor
  • Lijuan Chen, Jitao Sun
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    ABSTRACT: In this letter, we firstly propose an epidemic network model incorporating two controls which are vaccination and treatment. For the constant controls, by using Lyapunov function, global stability of the disease-free equilibrium and the endemic equilibrium of the model is investigated. For the non-constant controls, by using the optimal control strategy, we discuss an optimal strategy to minimize the total number of the infected and the cost associated with vaccination and treatment. Table 1 and Figure , , , and are presented to show the global stability and the efficiency of this optimal control.
    Physics Letters A 08/2014; · 1.63 Impact Factor
  • Hao Chen, Jitao Sun
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    ABSTRACT: In the present paper, we investigate the output-controllability and optimal output control problems of a state-dependent switched Boolean control network. By using the semi-tensor product, the algebraic form of the system is obtained. Then, output-controllability problems of the system are discussed and some necessary and sufficient conditions are given. Next, the Mayer-type optimal output control issue is considered and an algorithm is provided to find out the control sequence. At last, an example is given to show the effectiveness of the main results.
    Automatica 07/2014; · 3.13 Impact Factor
  • Jiancheng Zhang, Jitao Sun
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    ABSTRACT: In this paper, a delayed SEIRS epidemic model with nonlinear incidence rate and impulsive vaccination is investigated. In vaccination strategy, we perform impulsive vaccination of newborn infants. Using the discrete dynamic system determined by stroboscopic map, we obtain an infection-free periodic solution and establish conditions, on which the solution is globally attractive. We also conclude that the disease is permanent if the parameters of the model satisfy appropriate conditions. Finally, we illustrate the effectiveness of our theorems with numerical simulation. The results obtained in this paper are a good extension of the results obtained in [J. Hou and Z. Teng, Continuous and impulsive vaccination of SEIR epidemic models with saturation incidence rate, Math. Comput. Simulat.79 (2009) 3038–3054] to the corresponding delayed SEIRS epidemic model with nonlinear incidence rate and impulsive vaccination.
    International Journal of Biomathematics 05/2014; 07(03). · 0.65 Impact Factor
  • Shuorui Zhang, Jitao Sun
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    ABSTRACT: This paper investigates complete controllability of impulsive mixed type Volterra–Fredholm stochastic systems with nonlocal conditions. Sufficient conditions are established for complete controllability of a class of impulsive stochastic integrodifferential systems with nonlocal conditions. The results are obtained by a fixed point approach on condition that the corresponding linear system is completely controllable. Finally, an example is given to illustrate our results. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 04/2014; · 1.90 Impact Factor
  • Lijuan Chen, Jitao Sun
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    ABSTRACT: In this paper, an SI epidemic model with feedback controls is first proposed. By constructing a suitable Lyapunov function, global stability of the disease-free equilibrium and the endemic equilibrium of the model is investigated. The results we obtained show that by choosing suitable values of feedback control variables, we can make the disease endemic or extinct. In other words, feedback control variables play an important role in dealing with the disease. An example is presented to verify our main results.
    Applied Mathematics Letters 02/2014; 28:53–55. · 1.48 Impact Factor
  • Jiancheng Zhang, Jitao Sun
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    ABSTRACT: In this paper, an epidemic model with feedback mechanism on networks is investigated. We obtain the basic reproductive number R0R0, and analyze the stability behaviors of disease-free equilibrium E0E0 and endemic equilibrium E∗E∗. When R0<1R0<1, the disease-free equilibrium is globally asymptotically stable, and when R0>1R0>1, the endemic equilibrium is asymptotically stable. Although the feedback mechanism cannot change the basic reproductive number R0R0 as we prove, it should be indicated that it can weaken the spreading of diseases and reduce the endemic level. Finally, the results of the stability and the effectiveness of the feedback mechanism are illustrated by some numerical simulations.
    Physica A: Statistical Mechanics and its Applications 01/2014; 394:24–32. · 1.72 Impact Factor
  • Shuorui Zhang, Jitao Sun
    Advances in Difference Equations 01/2014; 2014(1):194. · 0.63 Impact Factor
  • Fangfang Jiang, Jitao Sun
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    ABSTRACT: In this paper, we investigate the asymptotic behavior of solutions for a class of forced nonlinear neutral differential equation in first-order Euler form with constant impulsive jumps and unbounded delay. Several new sufficient conditions are given to guarantee that every non-oscillatory/oscillatory solution of system tends to zero as t→∞t→∞. Our conclusions improve and generalize some related existing results in the literatures.
    Applied Mathematics and Computation 06/2013; 219(19):9906–9913. · 1.60 Impact Factor
  • Wei Yang, Jitao Sun
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    ABSTRACT: In this paper, we investigate the finite-time stability (FTS) and finite-time boundedness (FTB) of quantum systems which are governed by Schrödinger’s equation. We first study the FTS and FTS at one target state and propose new results for the mentioned quantum systems in the form of sufficient conditions. Then, we present sufficient conditions for the FTB and FTB at one target state in terms of matrix inequalities. One numerical simulation is presented to illustrate the effectiveness of the obtained theoretical result.
    International Journal of Control 06/2013; 86(6). · 1.14 Impact Factor
  • Tao Fang, Jitao Sun
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    ABSTRACT: This paper studies the stability of complex-valued nonlinear differential system. The stability criteria of complex-valued nonlinear autonomous system are established. For the general complex-valued nonlinear non-autonomous system, the comparison principle in the context of complex fields is given. Those derived stability criteria not only provide a new method to analyze complex-valued differential system, but also greatly reduce the complexity of analysis and computation.
    Journal of Applied Mathematics 05/2013; 2013. · 0.72 Impact Factor
  • Lijuan Shen, Jitao Sun
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    ABSTRACT: SUMMARY This paper investigates the approximate controllability of abstract stochastic impulsive systems with multiple time-varying delays. The class of stochastic impulsive systems consists of ordinary differential equations effected by impulse and noise environment. We focus first on constructing the control function. With this control function, we present sufficient conditions for approximate controllability problems in Hilbert space. The results are then extended to more easily verified conditions. The methods we choose are mainly Nussbaum fixed point theorem and stochastic analysis techniques combined with a strongly continuous semigroup. Finally, an example is given to illustrate the effectiveness of the results. Copyright © 2012 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 05/2013; 23(8). · 1.90 Impact Factor
  • Tao Fang, Jitao Sun
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    ABSTRACT: Since quantum system, which is one of the foci of ongoing research, is the classical example of complex-valued systems, in this study, the stability of complex-valued impulsive system is addressed. Taking advantage of the Lyapunov function in the complex fields, the stability criteria of complex-valued impulsive system are established, which not only generalises the stability criteria on real-valued impulsive system, but also greatly reduces the complexity of analysis and computation. Moreover, as an application, a linear impulsive feedback controller for the complex-valued Lü system is designed.
    IET Control Theory and Applications 05/2013; 7(8):1152-1159. · 1.84 Impact Factor
  • Wei Yang, Jitao Sun
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    ABSTRACT: In this Letter, we investigate the control of finite dimensional ideal quantum systems in which the quantum states are represented by the density operators. A new Lyapunov function based on the Hilbert–Schmidt distance and mechanical quantity of the quantum system is given. We present a theoretical convergence result using LaSalle invariance principle. Applying the proposed Lyapunov method, the generation of the maximally entangled quantum states of two qubits is obtained.
    Physics Letters A 05/2013; 377(12):851–854. · 1.63 Impact Factor