Showing papers by "Yongguang Yu published in 2019"
TL;DR: A distributed event-triggered mechanism which can be used to reduce the number of controller updates and communication load is developed to apply in stochastic dynamical systems by combining the tools of graph theory and Stochastic analysis.
Abstract: This paper is concerned with the problem of mean square consensus for nonlinear multi-agent systems with state-dependent noise perturbations. A distributed event-triggered mechanism which can be used to reduce the number of controller updates and communication load is developed to apply in stochastic dynamical systems. By combining the tools of graph theory and stochastic analysis, the sufficient conditions are given to ensure that mean square consensus in the multi-agent systems can be achieved exponentially. The convergence rate is also analytically derived. Moreover, the feasibility of the proposed distributed event-triggered strategy is further verified by exclusion of Zeno behaviour. Finally, some numerical examples are given to demonstrate the effectiveness of the obtained results.
23 citations
TL;DR: An adaptive control protocol with integer-order dynamics is proposed to approximate the unknown nonlinearities, which is easy to implement in reality and finished by taking the Barbalat lemma for the first time.
21 citations
TL;DR: A new dynamic system, the fractional-order Hopfield neural networks with parameter uncertainties based on memristor and the robust synchronization is achieved by analyzing the Mittag-Leffler stability by constructing a suitable Lyapunov function.
Abstract: A new dynamic system, the fractional-order Hopfield neural networks with parameter uncertainties based on memristor are investigated in this paper. Through constructing a suitable Lyapunov function and some sufficient conditions are established to realize the robust synchronization of such system with discontinuous right-hand based on fractional-order Lyapunov direct method. Skillfully, the closure arithmetic is employed to handle the error system and the robust synchronization is achieved by analyzing the Mittag-Leffler stability. At last, two numerical examples are given to show the effectiveness of the obtained theoretical results. The first mainly shows the chaos of the system, and the other one mainly shows the results of robust synchronization.
18 citations
TL;DR: The distributed cooperative synchronization of heterogeneous uncertain nonlinear chaotic delayed fractional-order multi-agent systems (FOMASs) with a leader of bounded unknown input is investigated, where the fractional orders and system parameters are uncertain and the controller gains are heterogeneous due to imperfect implementation.
Abstract: In this paper, under a fixed directed graph, the distributed cooperative synchronization of heterogeneous uncertain nonlinear chaotic delayed fractional-order multi-agent systems (FOMASs) with a leader of bounded unknown input is investigated, where the fractional orders and system parameters are uncertain and the controller gains are heterogeneous due to imperfect implementation. It should be noted that the study is more general by considering the FOMASs with time delays, unknown leader, heterogeneity, and unknown nonlinear dynamics. Firstly, a differential evolution-based parameter estimation method is proposed to identify the uncertain parameters. Then based on the identified parameters, by using the matrix theory, graph theory, fractional derivative inequality, and comparison principle of linear fractional equation with delay, a heterogeneous discontinuous controller is designed to achieve the distributed cooperative synchronization asymptotically. Thirdly, a heterogeneous continuous controller is further constructed to suppress the undesirable chattering behavior, where uniformly ultimately bounded synchronization tracking errors can be achieved and tuned as small as desired. Finally, numerical simulations are provided to validate the effectiveness of the proposed parameter estimation scheme and the designed control algorithms.
15 citations
TL;DR: To overcome the undesirable chattering phenomenon caused by the discontinuous controller, a continuous distributed control algorithm is further designed and uniformly ultimately bounded (UUB) tracking errors can be obtained and reduced as small as desired.
15 citations
TL;DR: A novel observer-based event-triggered control mechanism which only relies on the information at the trigger-time is proposed, and by applying the theory of algebraic graph, matrix and fractional-order calculus some sufficient consensus conditions are established for achieving the consensus of FOMASs.
Abstract: This paper is devoted to the quasi-containment control problem of fractional-order multi-agent systems (FOMASs). First, to reduce the frequency of communications, a novel observer-based eve...
14 citations
TL;DR: The Adams–Bashforth–Moulton algorithm has been extended to solve fractional-order time-varying delayed differential systems using Lagrange interpolation method and a detailed error analysis of this algorithm is presented.
Abstract: In this paper, a numerical solution of fractional-order time-varying delayed differential systems using Lagrange interpolation is investigated. Based on Lagrange interpolation method, the Adams–Bashforth–Moulton algorithm has been extended to solve fractional-order time-varying delayed differential systems. Furthermore, a detailed error analysis of this algorithm is presented. A fractional-order time-varying delayed Hopfield neural network as numerical example is given. In addition, the different parameters in the fractional-order time-varying delayed neural network are considered. Finally, some simple and direct numerical methods which are compared with Lagrange interpolation method in the fractional-order time-varying delayed neural network are discussed. The example with numerical simulation clearly illustrated that the present method is reliable.
10 citations
TL;DR: A modified artificial bee colony (mABC) algorithm is put forward to enhance the exploration and exploitation abilities of the original ABC algorithm, and a parameters estimation approach based on the above is proposed to estimate the unknown fractional orders and system parameters.
9 citations
TL;DR: Considering parametric uncertainties, an adaptive control technology is employed to solve the group multiple lags consensus for fractional order multi-agent systems, and the corresponding adaptive control protocols and sufficient conditions are proposed.
Abstract: In this paper, group multiple lags consensus of fractional-order leader-following multi-agent systems with nonlinear dynamics are investigated, in which two kinds of lag consensus are considered. One is said to be outergroup lag consensus, which means that different group leaders reach lag consensus. The other one is called innergroup lag consensus, that is to say, the followers will reach lag consensus with their own group leader. Based on Mittag–Leffler stability for fractional-order systems, algebraic graph theory, a class of novel control protocols is designed and the corresponding sufficient conditions are derived to guarantee the achievement of group multiple lags consensus. Furthermore, considering parametric uncertainties, an adaptive control technology is employed to solve the group multiple lags consensus for fractional order multi-agent systems, and the corresponding adaptive control protocols and sufficient conditions are proposed. Finally, numerical simulations are given to demonstrate the ef...
8 citations
TL;DR: The convergence analysis of the closed-loop system is finished by using the theories of algebraic graph and Mittag-Leffler stability, and some sufficient consensus matrix inequalities conditions are deduced.
Abstract: Agreement coordination problem of fractional-order multi-agent systems (FOMASs) with reaction–diffusion term and unknown persistent external disturbances is mainly investigated in this paper. Firstly, based on the output information, some estimators are designed to obtain the information of all agents and unknown persistent external disturbances, and a novel distributed control protocol is designed. And then, the convergence analysis of the closed-loop system is finished by using the theories of algebraic graph and Mittag-Leffler stability, and some sufficient consensus matrix inequalities conditions are deduced. Finally, the effectiveness of the obtained results are verified by several simulations.
5 citations
01 Jul 2019
TL;DR: The main idea is to obtain the L1 interpolation approximation of the investigated system based on piecewise linear interpolation, and then by using the property of the convex hull and the Mittag-Leffler function, it is demonstrated that by taking the distributed containment control protocol, all followers can converge to the conveX hull spanned by multiple leaders asymptotically.
Abstract: In this paper, the distributed containment control problem is studied for continuous-time fractional-order multi-agent systems. A distributed containment control protocol with nonlinear projection algorithm is designed for each follower. Besides, a novel approach is proposed to show the effectiveness of the proposed containment control protocol. The main idea is to obtain the L 1 interpolation approximation of the investigated system based on piecewise linear interpolation, and then by using the property of the convex hull and the Mittag-Leffler function, we demonstrate that by taking the distributed containment control protocol, all followers can converge to the convex hull spanned by multiple leaders asymptotically. Finally, a numerical simulation is implemented to illustrate the effectiveness of the obtained theoretical results.