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Science China(Information Sciences) 2021年第1期64卷 175-187页

作者： yonggui kao Hui LI Department of Mathematics Harbin Institute of Technology at Weihai

This paper focuses on the investigation of asymptotic multistability and on local S-asymptoticω-periodicity for nonautonomous fractional-order neural networks(FONNs) with impulses. Several criteria on the existence, uniqueness, and invariant sets of nonautonomous FONNs with impulses are derived by constructing convergent sequences and comparison principles, respectively. In addition, using the Lyapunov direct method, some novel conditions of boundedness and local asymptotic stability of the FONNs discussed are obtained. Also, the sufficient conditions for local S-asymptotic ω-periodicities of the system are presented. Finally, a discussion using two examples verifies the validity of our findings, which imply that global asymptotic stability is a special case of asymptotic multistability.

关键词： fractional-order neural networks local S-asymptotic $\omega$-periodicity asymptotic multistability impulse nonautonomous

Stability of Coupled Impulsive Markovian Jump Reaction-Diffusion Systems on Networks

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Journal of Systems Science & Complexity 2016年第5期29卷 1269-1280页

作者： LI Yanbo kao yonggui School of Mathematical Sciences Guangxi Teachers Education University Department of Mathematics Harbin Institute of Technology (Weihai)

This paper is devoted to the investigation of stability for a class of coupled impulsive Markovian jump reaction-diffusion systems on networks(CIMJRDSNs). By using graph theory, a systematic method is provided to construct global Lyapunov functions for the CIMJRDSNs. Based on Lyapunov functions and stochastic analysis method, some novel stability principles associated with the topology property of the networks are established.

关键词： Coupled stochastic reaction-diffusion systems, impulsive, Markovian switching networks stability.

A Guaranteed Cost Approach to Dynamic Output Feedback Control for Neutral-Type Markovian Jumping Stochastic Systems

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Journal of Systems Science & Complexity 2021年第4期34卷 1487-1500页

作者： LI Yanbo kao Binghua XIE Jing kao yonggui School of Information and Statistics Guangxi University of Finance and EconomicsNanning 530003China Department of Mathematics Harbin Institute of Technology(Weihai)Weihai 264209China School of Information and Control Engineering Qingdao University of TechnologyQingdao 266520China

This paper is devoted to investigating the dynamic output feedback(DOF)control problem of Markovian jump neutral-type stochastic systems with a guaranteed cost *** of the state and measurement equations contain time ***-dependent DOF controllers are first designed such that the closed-loop system is asymptotically stable in mean-square and an adequate performance level of this system is ***,sufficient conditions for the solvability of this problem are derived in the form of linear matrix inequalities(LMIs).A numerical example is presented to reveal the effectiveness of our findings.

关键词： Guaranteed cost control linear matrix inequality Markovian jump neutral stochastic systems output feedback control time delay

Global Mittag-Leffler stability for fractional-order coupled systems on network without strong connectedness

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Science China(Information Sciences) 2020年第3期63卷 184-194页

作者： Xin MENG yonggui kao Hamid Reza KARIMI Cunchen GAO School of Mathematical Sciences Ocean University of China Department of Mechanical Engineering Politecnico di Milano Department of Mathematics Harbin Institute of Technology (Weihai)

This study investigates the global Mittag-Leffler stability(MLS) problem of the equilibrium point for a new fractional-order coupled system(FOCS) on a network without strong connectedness. In particular, an integer-order coupled system is extended into the FOCS on a complex network without strong connectedness. Based on the theory of asymptotically autonomous systems and graph theory, sufficient conditions are derived to ensure the existence, uniqueness, and global MLS of the solutions of this FOCS on a network. Finally, a numerical example is provided to demonstrate the validity and potential of the proposed method for studying the MLS of FOCSs.

关键词： global Mittag-Leffler stability fractional-order coupled system connectedness

Observer-based Static Feedback Control for Neutral-type Markovian Jump Systems

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Observer-based Static Feedback Control for Neutral-type Mark...

Soft Sliding Mode Controller Design for a Class of Singular Link Manipulator by Disturbance Compensation

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作者： Tianshu Yang Jing Xie Yunlong Liu yonggui kao Department of Mathematics Harbin Institute of Technology (Weihai) College of Automation Engineering Qingdao University of Technology College of Information and Control Engineering Weifang University

ISBN: (纸本)9781538629185

This paper is concerned with the state estimation problem of a class of uncertain Markovian jump neutral-type stochastic systems. This kind of systems involves parameter uncertainties, noise disturbances and time-delay. Based on Lyapunov-Krasovskii functional approach, a delay-dependent condition is derived for the existence of state observer. The desired gain matrix and state-feedback controller are presented in terms of linear matrix inequality（LMI）. Finally, a numerical example is provided to illustrate the validity of the obtained results.

关键词： Markvian jump system static feedback control neutral-type linear matrix inequality

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Soft Sliding Mode Controller Design for a Class of Singular ...

GLOBAL ROBUST STABILITY OF INTERVAL HOPFIELD NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS

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作者： Yunlong Liu Juan Wang Georgi M.Dimirovski Jiangyan Dai yonggui kao College of Information and Control Engineering Weifang University School of Mathematics China University of Mining and Technology Faculty of Engineering Dogus University IEEE Department of Mathematics Harbin Institute of Technology(Weihai)

ISBN: (纸本)9781538629185

Aiming at singular property for a class of link constrained manipulator,the design of soft sliding mode controller is considered by disturbance compensation in this ***,a singular system model of a three-link manipulator is established by the constraint equations and the force ***,a dynamic switching function is given and a novel discrete singular exponential reaching law with dynamic disturbance compensation is ***,soft sliding mode controller for three-link constrained manipulator with uncertainties is discussed by the proposed discrete reaching ***,it can drive the manipulator system to reach the switching band in finite time and remain on the switching *** reason of system chattering will be analyzed and the width of the switching band will be decreased by the proposed controller.

关键词： link manipulator singular system soft sliding mode control dynamic switching disturbance compensation

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Annals of Differential Equations 2007年第4期23卷 427-432页

作者： kao yonggui Gao Cunchen Liu Guanfeng Dept. of Math. Ocean University of China Qingdao 266071 China Dept. of Math. Zaozhuang University Zaozhuang 277160 Shandong College of Resources and Environment Engineering Wuhan University of Science and Technology Wuhan 430081

In this paper, we implement topological degree theory and Lyapunov-functional methods to obtain the existence and uniqueness of the equilibrium point and its global robust stability for interval Hopfield neural networks with continuously distributed delays. Moreover, the methods used in judging the robust stability are proven practical and easily verifiable.

关键词： global robust stability neural networks distributed delays topological degree

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时滞随机耦合网络的稳定性(英文)

应用数学 2013年第1期26卷 67-75页

作者：考永贵孙华曹洪霞哈尔滨工业大学威海理学院数学系山东威海264209 山东省工业控制重点实验室、青岛大学山东青岛226071

利用Lyapunov方法和图论研究一类时滞随机耦合网络的稳定性,给出一种构造Lyapunov泛函的方法,建立一系列与网络的拓扑结构相关的稳定性判据.

关键词：随机耦合系统全面稳定性网络时滞拓扑性质

Review of Computational Approaches to Optimization Problems in Inhomogeneous Rods and Plates

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Communications on Applied Mathematics and Computation 2024年第1期6卷 236-256页

作者： Weitao Chen Chiu-Yen kao Department of Mathematics University of California at Riverside900 University AveRiversideCA92521USA Department of Mathematical Sciences Claremont McKenna College850 Columbia AveClaremontCA91711USA

In this paper,we review computational approaches to optimization problems of inhomogeneous rods and *** consider both the optimization of eigenvalues and the localization of *** problems are motivated by physical problems including the determination of the extremum of the fundamental vibration frequency and the localization of the vibration *** demonstrate how an iterative rearrangement approach and a gradient descent approach with projection can successfully solve these optimization problems under different boundary conditions with different densities given.

关键词： Inhomogeneous rods and plates Bi-Laplacian Optimization of eigenvalues Localization of eigenfunctions Rearrangement

基于滑模方法的不确定分数阶广义系统的鲁棒无源控制

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中国海洋大学学报（自然科学版） 2023年第7期53卷 147-152页

作者：张程程任启峰考永贵高存臣中国海洋大学数学科学学院山东青岛266100 哈尔滨工业大学(威海)理学院山东威海264209

本文研究了基于滑模控制的一类不确定分数阶广义系统的可容许性和鲁棒无源性问题。首先,设计了一种含有奇异矩阵的分数阶积分型切换函数,对其求分数阶导数推导出等效控制,进而得到滑动模态方程。其次,针对滑动模态方程和系统输出方程,... 详细信息

本文研究了基于滑模控制的一类不确定分数阶广义系统的可容许性和鲁棒无源性问题。首先,设计了一种含有奇异矩阵的分数阶积分型切换函数,对其求分数阶导数推导出等效控制,进而得到滑动模态方程。其次,针对滑动模态方程和系统输出方程,利用线性矩阵不等式技巧,给出了系统滑动模态具有鲁棒无源性和可容许性的充分性判据,并进一步建立了鲁棒无源可容许的可解性条件。同时,设计的分数阶滑模控制律保证了闭环系统状态轨迹能够到达预设的切换面。最后,通过一个仿真实例验证了本文结果的有效性。

关键词：分数阶广义系统滑模控制鲁棒无源性可容许性