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mittag–leffler synchronization of fractional-order uncertain chaotic systems

Chinese Physics B 2015年第6期24卷 225-230页

作者：王乔丁冬生齐冬莲 College of Electrical Engineering Zhejiang University

This paper deals with the synchronization of fractional-order chaotic systems with unknown parameters and unknown disturbances. An adaptive control scheme combined with fractional-order update laws is proposed. The asymptotic stability of the error system is proved in the sense of generalized mittag-leffler stability. The two fractional-order chaotic systems can be synchronized in the presence of model uncertainties and additive disturbances. Finally these new developments are illustrated in examples and numerical simulations are provided to demonstrate the effectiveness of the proposed control scheme.

关键词： chaos synchronization adaptive control mittag-leffler stability

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Boundary Control of Coupled Non-Constant Parameter Systems of Time Fractional PDEs with Different-Type Boundary Conditions

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Journal of Systems Science & Complexity 2023年第1期36卷 273-293页

作者： CHEN Juan ZHUANG Bo Aliyun School of Big Data Changzhou UniversityChangzhou 213164China School of Information Engineering Binzhou UniversityBinzhou 256600China

This paper addresses a boundary state feedback control problem for a coupled system of time fractional partial differential equations(PDEs)with non-constant(space-dependent)coefficients and different-type boundary conditions(BCs).The BCs could be heterogeneous-type or mixed-type.Specifically,this coupled system has different BCs at the uncontrolled side for heterogeneous-type and the same BCs at the uncontrolled side for mixed-type.The main contribution is to extend PDE backstepping to the boundary control problem of time fractional PDEs with space-dependent parameters and different-type BCs.With the backstepping transformation and the fractional Lyapunov method,the mittag-leffler stability of the closed-loop system is obtained.A numerical scheme is proposed to simulate the fractional case when kernel equations have not an explicit solution.

关键词： Boundary control coupled systems heterogeneous mittag-leffler stability time fractional PDEs with space-dependent coefficients

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Leader-following consensus for a class of fractional-order nonlinear multi-agent systems under fixed and switching topologies

Leader-following consensus for a class of fractional-order n...

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第36届中国控制会议

作者： Min Shi Songlin Hu Institute of Advanced Technology Nanjing University of Posts and Telecommunications

ISBN: (纸本)9781538629185

In this paper,the leader-following consensus problem of a class of fractional-order nonlinear multi-agent systems is considered.By using the algebraic graph theory,Lyapunov theory and LMI method of fractional-order systems,the control gain matrix is designed to achieve leader-following consensus under fixed and switching topologies respectively.Furthermore,the convergence rate of the controlled multi-agent systems is studied based on the sense of mittag-leffler stability of fractional-order systems.Simulations indicate the effectiveness of the theoretical results.

关键词： Fractional-order nonlinear systems Multi-agent systems mittag-leffler stability Leader-following consensus

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Graph theory-based projective synchronization of coupled systems on network via fractional sliding mode control

Graph theory-based projective synchronization of coupled sys...

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第三十九届中国控制会议

作者： Xin Meng Cunchen Gao School of Mathematical Sciences Ocean University of China

Based on the graph-theoretic approach, the projective synchronization problem of fractional-order systems on network with strong connectedness is investigated by means of fractional sliding mode control（SMC）. Some novel criteria are derived for the projective synchronization of complex networks with fractional-order dynamical systems. Finally, a numerical example is conducted to demonstrate the validity and feasibility of this proposed method.

关键词： mittag-leffler stability sliding mode control fractional-order projective synchronization

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