Jitao Sun

Tongji University, Shanghai, Shanghai Shi, China

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Publications (187)245.74 Total impact

  • Source
    Lijuan Chen · Khalid Hattaf · Jitao Sun
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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. DOI:10.1016/j.physa.2015.02.048 · 1.72 Impact Factor
  • Jinghui Suo · Jitao Sun
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    ABSTRACT: In this paper, we investigate the convergence domain for time-varying switched systems. We construct multiple Lyapunov functions and each Lyapunov function is decreasing outside a ball whose radius is time-varying. We give a relatively accurate convergence domain for a general time-varying switched system. Finally, a numerical example, a mass-spring-damper system, is provided to show the effectiveness of the theoretical results.
    Systems & Control Letters 04/2015; 78:19-24. DOI:10.1016/j.sysconle.2015.01.007 · 1.89 Impact Factor
  • Yongquan Pei · Jitao Sun
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    ABSTRACT: This paper investigates the average consensus problems of the discrete-time linear multi-agent systems (LMAS) with Markov switching topologies. The average consensus protocol is a time-delay feedback switching controller. Compared with existing controllers, it is switching with time-delay. The constant time-delay exists in the signal feedback, and the time-varying time-delay exists in the state feedback. Firstly, we introduce a concept of the average consensus in this stochastic system. Then, we develop a new signal mode to simplify this challenging problem. By Lyapunov technique, two LMIs determinate theorems of average consensus are provided. Then we can find a controller to solve such problems effectively by these theorems. And the last theorem also reveals that we can determinate consensus by the maximum and minimum nonzero eigenvalues of the Laplacian matrices. Finally, a numerical example is given to illustrate the efficiency of our results.
    Neurocomputing 03/2015; 151. DOI:10.1016/j.neucom.2014.10.022 · 2.01 Impact Factor
  • Shuorui Zhang · Jitao Sun
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    ABSTRACT: This paper studies existence and uniqueness for random impulsive differential equations. The authors first generalize a random fixed point theorem of Schaefer’s type. Then the authors shall rely on the generalized Schaefer’s type random fixed point theorem to discuss the existence of the system. In addition, the authors study the existence and uniqueness of random impulsive differential equations by applying random Banach fixed point theorem and obtain some less conservative results. Finally, an example is given to illustrate the effectiveness of the results.
    Journal of Systems Science and Complexity 01/2015; DOI:10.1007/s11424-015-4018-z · 0.37 Impact Factor
  • Fangfang Jiang · Jitao Sun
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    ABSTRACT: In this paper, we investigate the existence and uniqueness of limit cycle for a class of discontinuous planar piecewise smooth differential systems with four regions separated by three vertical parallel lines. We first show the continuity and qualitative properties of half Poincaré mappings, and then by some analysis techniques we provide several criteria concerning the existence, uniqueness and stability of limit cycle for the discontinuous planar differential system. Finally, an example possessing a unique stable sliding limit cycle is presented to illustrate the obtained result.
    Qualitative Theory of Dynamical Systems 01/2015; DOI:10.1007/s12346-015-0141-4 · 0.41 Impact Factor
  • Jiancheng Zhang · Jitao Sun
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    ABSTRACT: In this paper, we investigate a new model with a generalized feedback mechanism in weighted networks. Compare to previous models, we consider the initiative response of people and the important impact of nodes with different edges on transmission rate as epidemics prevail. Furthermore, by constructing Lyapunov function, we prove that the disease-free equilibrium E0 is globally asymptotically stable as the epidemic threshold R* < 1. When R* > 1, we obtain the permanence of epidemic and the local stability of endemic equilibrium E*. Finally, one can find a good agreement between numerical simulations and our analytical results.
    International Journal of Biomathematics 01/2015; 08(01):1550007. DOI:10.1142/S1793524515500072 · 0.65 Impact Factor
  • Shuorui Zhang · Jitao Sun
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    ABSTRACT: In this paper, we investigate the controllability of impulsive differential systems with random coefficients. Impulsive differential systems with random coefficients are a different stochastic model from stochastic differential equations. Sufficient conditions of sample controllability for impulsive differential systems with random coefficients are obtained by using random Sadovskii's fixed-point theorem. Finally, an example is given to illustrate our results.
    International Journal of Systems Science 12/2014; DOI:10.1080/00207721.2014.984361 · 1.58 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. DOI:10.1016/j.nahs.2014.04.004 · 1.79 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; 51. DOI:10.1016/j.automatica.2014.10.090 · 3.13 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. DOI:10.1016/j.neucom.2014.04.015 · 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. DOI:10.1109/TNNLS.2013.2294638 · 4.37 Impact Factor
  • Source
    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. DOI:10.1016/j.physa.2014.05.034 · 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. DOI:10.1016/j.amc.2014.04.062 · 1.60 Impact Factor
  • Source
    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; 378(41). DOI:10.1016/j.physleta.2014.09.002 · 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; 50(7). DOI:10.1016/j.automatica.2014.05.013 · 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). DOI:10.1142/S1793524514500326 · 0.65 Impact Factor
  • Wei Yang · Jitao Sun
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    ABSTRACT: In this study, the authors investigate finite-time stability (FTS) and FTS at one target state (FTST) of quantum systems with impulses which are governed by the Schrodinger equation. New results for the mentioned quantum systems with impulses in the form of sufficient conditions of FTS and FTST are proposed. One numerical simulation is presented to illustrate the effectiveness of the obtained theoretical results.
    IET Control Theory and Applications 05/2014; 8(8):641-646. DOI:10.1049/iet-cta.2013.0606 · 1.84 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; DOI:10.1002/rnc.3176 · 2.65 Impact Factor
  • Source
    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. DOI:10.1016/j.aml.2013.09.009 · 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. DOI:10.1016/j.physa.2013.09.058 · 1.72 Impact Factor