Jitao Sun

Tongji University, Shanghai, Shanghai Shi, China

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Publications (197)273.72 Total impact

  • Yueju Cao · Jitao Sun

    No preview · Article · Dec 2016 · Boundary Value Problems
  • Yueju Cao · Jitao Sun
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    ABSTRACT: In this paper, we study the existence of solutions for nonlinear measure driven equations in Kurzweil integral setting. Firstly, some new results on Hausdorff measure of noncompactness in the space of regulated functions are established. Then some existence criteria of the measure system are provided by applying Hausdorff measure of noncompactness and a corresponding fixed point theorem. The results in this paper improve and generalize those well known in the literature. Finally, an example is given to illustrate our results.
    No preview · Article · Dec 2015 · Nonlinear Analysis Hybrid Systems
  • Yongquan Pei · Jitao Sun
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    ABSTRACT: This paper investigates the stationary average consensus problem for second-order discrete-time multi-agent systems (SDMAS). A stationary consensus problem is to find a control algorithm that brings the state of a group of agents to a common constant value which is called the collective decision. We introduce the concept of stationary average consensus of SDMAS and propose a consensus algorithm. Based on the polynomial stability and the graph theory, we obtain two necessary and sufficient conditions of stationary average consensus of SDMAS. The last theorem provides an algebraic criterion of stationary average consensus, and can help us to determine the parameters in the consensus algorithm. Furthermore, in this consensus algorithm, only the states of the agents are transferred among the agents. Therefore, this algorithm can not only solve the stationary average consensus problem but also reduce the amount of transferred data. A numerical example is provided to illustrate the efficiency of our results.
    No preview · Article · Nov 2015 · International Journal of Systems Science
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    Lijuan Chen · Jitao Sun · Fengde Chen · Liang Zhao
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    ABSTRACT: In this paper, an impulsive Lotka–Volterra competitive system with the effect of toxic substances is considered. By using some analytical technique, we prove that under certain conditions the species x2 of the system will be driven to extinction while the species x1 will be globally attractive with any positive solution of an impulsive Logistic equation. As a result, we extend the principle of competitive exclusion to a periodic competitive system with impulse and toxic substances. The main result in this paper is a good extension and supplement that of Li and Chen (2006). Furthermore, the obtained results supplement the results of Liu et al. (2009).
    Full-text · Article · Oct 2015 · Applied Mathematical Modelling
  • Fangfang Jiang · Junping Shi · Jitao Sun
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    ABSTRACT: In this paper, we investigate the number of limit cycles for a class of discontinuous planar differential systems with multiple sectors separated by many rays originating from the origin. In each sector, it is a smooth generalized Liénard polynomial differential system x′ = -y + g1 (x) + f1 (x)y and y′ = x + g2 (x) + f2 (x)y, where fi (x) and gi (x) for i = 1, 2 are polynomials of variable x with any given degree. By the averaging theory of first-order for discontinuous differential systems, we provide the criteria on the maximum number of medium amplitude limit cycles for the discontinuous generalized Liénard polynomial differential systems. The upper bound for the number of medium amplitude limit cycles can be attained by specific examples.
    No preview · Article · Sep 2015 · International Journal of Bifurcation and Chaos
  • 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.
    No preview · Article · Jun 2015 · Journal of Systems Science and Complexity
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    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.
    Full-text · Article · Jun 2015 · Physica A: Statistical Mechanics and its Applications
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    Yueju Cao · Jitao Sun
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    ABSTRACT: The paper investigates existence of solutions for abstract semilinear measure driven equations in Banach spaces. This general system can model a large class of hybrid systems without any restriction on their Zeno behavior. An existence criterion for the system is obtained by using Schauder's fixed point theorem. When reducing to nonlinear measure driven system, we present some new or less restrictive criteria than those in the literature in the sense of Lebesgue–Stieltjes integral. Finally, an example is given to illustrate our results.
    Full-text · Article · May 2015 · Journal of Mathematical Analysis and Applications
  • 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.
    No preview · Article · Apr 2015 · Systems & Control Letters
  • 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.
    No preview · Article · Mar 2015 · Neurocomputing
  • Hao Chen · Xingde Li · Jitao Sun
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    ABSTRACT: The present note investigates the stabilization, controllability and optimal control problem of Boolean networks with impulsive effects and state constraints. By using the semi-tensor product method, the algebraic form of the Boolean networks with impulsive effects and state constraints is derived. The stabilization and controllability issues of the systems are investigated and some necessary and sufficient conditions are obtained. In addition, the Mayer-type optimal control problem is also studied and algorithms are provided to design the control sequence. Furthermore, examples are given to illustrate the main results.
    No preview · Article · Mar 2015 · IEEE Transactions on Automatic Control
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    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.
    Full-text · Article · Jan 2015 · International Journal of Biomathematics
  • 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.
    No preview · Article · Jan 2015 · Qualitative Theory of Dynamical Systems
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    Shuorui Zhang · Jitao Sun
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    ABSTRACT: In this paper, we study the existence of impulsive semilinear nonlocal problems with random effects. Random perturbations are taken into consideration in abstract spaces. By applying the measure of noncompactness and a random fixed point theorem with stochastic domain, we get some existence results which improve and generalize many known results. Some weaker assumptions are established. Besides, we do not claim the semigroup to be compact.
    Preview · Article · Dec 2014 · Advances in Difference Equations
  • 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.
    No preview · Article · Dec 2014 · International Journal of Systems Science
  • Jitao Sun · Hao Chen
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    ABSTRACT: In this study, the authors consider the stability and stabilisation issues of context-sensitive probabilistic Boolean networks. Firstly, the algebraic form of the system is obtained by using the semi-tensor product method. Then, some sufficient conditions for the stability and stabilisation of the system are presented, respectively. At last, an illustrative example is given.
    No preview · Article · Nov 2014 · IET Control Theory and Applications
  • 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.
    No preview · Article · Nov 2014 · Nonlinear Analysis Hybrid Systems
  • 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.
    No preview · Article · Nov 2014 · Automatica
  • 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.
    No preview · Article · Oct 2014 · Neurocomputing
  • 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.
    No preview · Article · Sep 2014 · IEEE transactions on neural networks and learning systems