Jitao Sun

Tongji University, Shanghai, Shanghai Shi, China

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Publications (125)95.98 Total impact

  • 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 01/2014; 28:53–55. · 1.50 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. · 1.68 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. · 1.35 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. · 0.83 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. · 1.77 Impact Factor
  • Lijuan Shen, Jitao Sun, Qidi Wu
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    ABSTRACT: This paper is concerned with the controllability of linear impulsive stochastic systems (LISSs) in Hilbert spaces. For this class of systems, the concepts of null controllability and approximate null controllability are introduced. To overcome the difficulties related, we construct the adjoint systems and the quasi-backward stochastic systems of LISSs. Necessary and sufficient conditions for the null controllability and the approximate null controllability are developed by utilizing our introduced quasi-backward stochastic systems. Furthermore, an equivalence is established between the null controllability of LISSs and some initial state of quasi-backward stochastic systems.
    Automatica. 04/2013; 49(4):1026–1030.
  • Fangfei Li, Jitao Sun
    International Journal of Bifurcation and Chaos 04/2013; 23(04):50059-. · 0.92 Impact Factor
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    Shouwei Zhao, Jitao Sun, Hai Lin
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    ABSTRACT: The state transfer problem of a class of nonideal quantum systems is investigated. It is known that traditional Lyapunov methods may fail to guarantee convergence for the nonideal case. Hence, a hybrid impulsive control is proposed to accomplish a more accurate convergence. In particular, the largest invariant sets are explicitly characterized, and the convergence of quantum impulsive control systems is analyzed accordingly. Numerical simulation is also presented to demonstrate the improvement of the control performance.
    The Scientific World Journal 01/2013; 2013:545091. · 1.73 Impact Factor
  • Lijuan Shen, Jitao Sun, Qidi Wu
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    ABSTRACT: This paper studies detectability and observability of Markov jump discrete-time linear stochastic systems with multiplicative noise (MJDLS for short). The relations between some concepts of detectability and observability are established. These relations, together with equivalent expressions of observability Gramian allow us to obtain some other sufficient and necessary conditions of detectability and observability. As applications, discrete-time stochastic Lyapunov equations and stochastic discrete algebraic Riccati equations (SDARE) are discussed.
    Systems & Control Letters 01/2013; 62(1):37–42. · 1.67 Impact Factor
  • Shouwei Zhao, Jitao Sun
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    ABSTRACT: This study is concerned with observability and accessibility of discrete-time non-linear switched impulsive systems, for which the problem is more complicated than that for general discrete systems and has novel features. A new method from the combination of differential geometric theory and Lie group analysis is developed. Specifically, under the geometric framework of the system, infinitesimal invariance for the observability and accessibility is investigated, respectively. Based on the invariance investigation, explicit criteria for local observability and local accessibility are derived. Numerical examples are discussed to show the effectiveness of the proposed methods, and the features of observability and accessibility for discrete switched impulsive systems.
    IET Control Theory and Applications 01/2013; 7(7):1014-1021. · 1.72 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 01/2013; 7(8):1152-1159. · 1.72 Impact Factor
  • Hao Chen, Jitao Sun
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    ABSTRACT: Using the semi-tensor product, the global control problem of the higher order Boolean control network with avoiding set is considered. First, the number of different control sequences that drive the higher order Boolean control network from the initial state to the destination state while avoiding undesirable set is provided. Then, the definition of global controllability of higher order Boolean control network is given. Third, by using the classical theory of nonnegative matrices, the necessary and sufficient condition for the global controllability of higher order Boolean control network with avoiding set is presented. Furthermore, a sufficient condition for k fixed-time global controllability of the system is also obtained. At last, an example is given to illustrate the main results.
    Neural networks: the official journal of the International Neural Network Society 12/2012; 39C:12-17. · 1.88 Impact Factor
  • Lijuan Shen, Jitao Sun
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    ABSTRACT: The existence of solutions to systems is a natural premise to carry our study about controllability. Under the basic and readily verified conditions to guarantee the existence of the solutions to a system, in this paper, we prove the relative controllability (approximate controllability ) of the stochastic differential systems with delay in control. Sufficient conditions are given firstly for the relative controllability and relative approximate controllability in finite dimensional spaces, and these results are then generalized to infinite-dimensional Hilbert spaces. Finally, examples are given to illustrate the effectiveness of the proposed methods.
    Nonlinear Analysis Real World Applications 12/2012; 13(6):2880–2887. · 2.20 Impact Factor
  • Jia Xu, Jitao Sun
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    ABSTRACT: This paper investigates the finite-time filtering problem for a class of discrete-time linear impulsive systems. Sufficient conditions are derived in terms of linear matrix inequalities, such that the filtering error system is finite-time stable and has a guaranteed prescribed noise attenuation level for all non-zero noises. A new H∞H∞ finite-time filter is designed for the addressed discrete-time linear impulsive systems. Finally, a numerical example is exploited to show the effectiveness of the technique proposed in this paper.
    Signal Processing. 11/2012; 92(11):2718–2722.
  • Lijuan Shen, Jitao Sun
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    ABSTRACT: This paper studies the approximate controllability of stochastic impulsive functional system with infinite delay in abstract space. By using the contraction mapping principle, some sufficient conditions are given with no compactness condition imposed on the semigroup generated by the linear part of the system. Then with the help of the Nussbaum fixed point theorem, the restriction of the combination of system parameters is dropped. Finally, an example is shown to illustrate our results.
    Journal of Mathematical Analysis and Applications - J MATH ANAL APPL. 10/2012;
  • Fangfei Li, Jitao Sun
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    ABSTRACT: Using the semi-tensor product method, this paper investigates the controllability of a μth order Boolean control network. After a brief introduction on semi-tensor product of matrices to μth order Boolean control networks, the controllability issue is studied. First, a systematic procedure to reconstruct the logical dynamic of a μth order Boolean control network from its network transition matrix is presented for design purpose. Then, the controllability via two types of controls is considered. Necessary and sufficient conditions are provided for each case. The application of input-state incidence matrix to the controllability of μth order Boolean control networks is studied. Finally, as an application, examples are given to illustrate the effectiveness of the obtained results.
    Applied Mathematics and Computation 09/2012; 219(1):158–169. · 1.35 Impact Factor
  • Fangfei Li, Jitao Sun
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    ABSTRACT: This paper investigates the controllability and optimal control of a temporal Boolean network, where the time delays are time variant. First, using the theory of semi-tensor product of matrices, the logical systems can be converted into a discrete time variant system. Second, necessary and sufficient conditions for the controllability via two types of controls are provided respectively. Third, optimal control design algorithms are presented. Finally, examples are given to illustrate the proposed results.
    Neural networks: the official journal of the International Neural Network Society 06/2012; 34:10-7. · 1.88 Impact Factor
  • Hao Chen, Jitao Sun
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    ABSTRACT: In this paper, the stability problem for some coupled systems with time delay on networks (CSDNs) is investigated. We provide a systematic method for constructing a global Lyapunov functional for CSDNs by using graph theory. The stability, uniform stability and global uniform stability of the systems are investigated. And by using the Lyapunov functional constructed, some sufficient conditions of stability are obtained.
    Physica A: Statistical Mechanics and its Applications 02/2012; 391(3):528–534. · 1.68 Impact Factor
  • Shouwei Zhao, Jitao Sun
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    ABSTRACT: This article is concerned with the observability and accessibility of discrete impulsive nonlinear systems. A geometric method based on the differential geometric analysis and Lie group investigation is proposed. The infinitesimal invariance principle in Lie group theory is extended to the case of discrete impulsive nonlinear systems. By characterising the infinitesimal principle in terms of the sequences of codistribution and distribution, explicit criteria for the local observability and local accessibility of the system are derived, respectively. Additionally, two examples are provided to show that the criteria are convenient to check.
    International Journal of Systems Science - IJSySc. 01/2012;