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  1.  13
    Input-to-State Stability of Nonlinear Switched Systems Via Lyapunov Method Involving Indefinite Derivative.Peng Li, Xiaodi Li & Jinde Cao - 2018 - Complexity 2018:1-8.
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  2.  12
    Intelligent Controllers for Multirobot Competitive and Dynamic Tracking.Mei Liu, Shuai Li, Xiaodi Li, Long Jin, Chenfu Yi & Zhiguan Huang - 2018 - Complexity 2018:1-12.
    This paper focuses on the problem of target tracking using k fittest robots in a group of n mobile robots with n>k. We present centralized and distributed coordination models with all-to-all and limited communications, respectively. For the case of all-to-all communication between robots, theoretical analysis is presented to prove the exponential stability of the whole system. In real applications of robotic networks, a robot may only be allowed to exchange information with a limited number of neighbors. In such a limited (...)
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  3.  5
    Exponential Synchronization of Neural Networks Via Feedback Control in Complex Environment.Xiaoxiao Lv, Xiaodi Li, Jinde Cao & Peiyong Duan - 2018 - Complexity 2018:1-13.
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  4.  5
    Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances.Mingyue Li, Huanzhen Chen & Xiaodi Li - 2020 - Complexity 2020:1-12.
    This paper studies the problem of leader-following synchronization for complex networks subject to delayed impulsive disturbances, where two kinds of time delays considered exist in internal complex networks and impulsive disturbances. Some delay-dependent sufficient criteria are derived in terms of linear matrix inequalities by using the delayed impulsive differential inequality method. Moreover, a feedback controller is designed to realize desired synchronization via the established LMIs. Our proposed results show that the requirements of impulse intervals and impulse sizes are dropped, and (...)
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  5.  1
    Finite-Time Stability for a Class of Underactuated Systems Subject to Time-Varying Disturbance.Jie Wu, Dan Yang, Xinyi He & Xiaodi Li - 2020 - Complexity 2020:1-7.
    Based on the classical finite-time stability theory, the problem of finite-time stability for time-varying nonlinear systems is investigated in this paper. Several FTS theorems involving global form and local form are presented, and an estimate of the settling-time of such systems is obtained. As an application, we consider the problem of asymptotic stabilization of the Brockett integrator subject to time-varying disturbance. By the switched finite-time controller design methodology, we establish a sufficient condition to guarantee the relative asymptotic stability. For Brockett-like (...)
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  6.  2
    A Numerical Method for Time-Fractional Reaction-Diffusion and Integro Reaction-Diffusion Equation Based on Quasi-Wavelet.Sachin Kumar, Jinde Cao & Xiaodi Li - 2020 - Complexity 2020:1-11.
    In this research work, we focused on finding the numerical solution of time-fractional reaction-diffusion and another class of integro-differential equation known as the integro reaction-diffusion equation. For this, we developed a numerical scheme with the help of quasi-wavelets. The fractional term in the time direction is approximated by using the Crank–Nicolson scheme. The spatial term and the integral term present in integro reaction-diffusion are discretized and approximated with the help of quasi-wavelets. We study this model with Dirichlet boundary conditions. The (...)
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    Finite-Time Simultaneous Stabilization for Stochastic Port-Controlled Hamiltonian Systems Over Delayed and Fading Channels.Yaping Tang, Weiwei Sun, Dongqing Liu & Xiaodi Li - 2020 - Complexity 2020:1-12.
    In this paper, a finite-time simultaneous stabilization problem is investigated for a set of stochastic port-controlled Hamiltonian systems over delayed and fading noisy channels. The feedback control signals transmitted via a communication network suffer from both constant transmission delay and fading channels which are modeled as a time-varying stochastic model. First, on the basis of dissipative Hamiltonian structural properties, two stochastic PCH systems are combined to form an augmented system by a single output feedback controller and then sufficient conditions are (...)
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