关于一类线性时不变切换系统的脉冲控制

针对一类线性时不变脉冲切换系统,利用Lyapunov函数导出了一种有效的控制方法.首先,建立了这类系统在任意切换率下稳定与渐近稳定的充分条件;然后,给出了这类系统在设定的切换率下指数稳定的判别准则;最后,给出了一个数值例子及仿真来阐明结论的正确性.     

具滞后执行机构的Lurie控制系统的绝对稳定性

利用Lyapunov泛函方法研究了具有多个滞后型执行机构的Lurie控制系统的绝对稳定性问题，基于S—过程，构造了一个关于Lyapunov泛函中正定矩阵及积分项系数等自由参数的线性矩阵不等式(LMI)，通过这个LMI的解来构造Lyapunov泛函保持了系统的绝对稳定性，无需调整参数，最后给出实例说明了该方法的有效性。     

广义系统渐近稳定分析与镇定的Lyapunov方法

利用Lyapunov方法研究了广义系统的渐近稳定性分析及控制问题,首先提出一种新形式的Lyapunov方程,用来研究广义系统渐近稳定性与镇定问题,同时给出了利用Lyapunov方程判定具有脉冲形式下广义系统渐近稳定的充分必要条件。利用相应的Riccati方程完成镇定广义系统的状态反馈控制器的设计。本文所有结论对广义系统有无脉冲行为均适用。最后利用数值例子说明主要结果。     

拟线性脉冲系统的一致渐近稳定性

利用Lyapunov函数方法研究拟线性脉冲混合系统的一致性渐近稳定性，建立该类系统一致渐近稳定性的充分条件，最后，作为应用给出一个实例。     

不确定Lurie型控制系统的绝对稳定性

讨论了区间非线性Lurie型控制系统的鲁棒绝对稳定性.用Lyapunov函数法研究了区间非线性Lurie型直接控制系统和间接控制系统的鲁棒绝对稳定性;给出了区间非线性Lurie型直接控制系统和间接控制系统鲁棒绝对稳定的充分条件;建立了区间非线性Lurie型控制系统鲁棒绝对稳定与区间矩阵稳定的关系.     

随机可变时滞系统的渐近稳定性

讨论了一类随机可变时滞系统解的渐近稳定性。应用It 公式、半鞅收敛定理与多个Lyapunov函数建立了这类随机可变时滞系统渐近稳定性的有效判据,使实际应用中构造Lyapunov函数更为方便。同时也说明了结果包含经典的随机系统稳定性结果为其特殊情况。与经典的随机稳定性理论相比,所建立的稳定性结果无须LV负定,充分利用了随机扰动项的作用,并且从理论上解释了一个不稳定的系统有时加入适当随机扰动后反而稳定。最后,举例说明了结果的有效性     

区间Lurie时滞系统鲁棒绝对稳定性的LMI方法

对于区间Lurie时滞控制系统 ,构造了关于Lurie型Lyapunov泛函中正定矩阵和积分项系数的线性矩阵不等式 (LMI) ,通过LMI的解构造的Lyapunov泛函来保证系统的鲁棒绝对稳定性 ,不必选择和调整参数。分别讨论了无穷扇形角和有限扇形角的情形 ,所获得的结果适用于系统具有多个非线性执行机构的情形。最后给出一个实例说明本方法的有效性 ,并通过实例分析了扇形角的大小与鲁棒稳定度的关系。     

时间离散的回归神经网络的定性分析

研究了一类时间离散的回归神经网络的定性问题.首先应用非线性分析中的度理论,建立了这类神经网络平衡点存在唯一的充要条件;其次通过Lyapunov函数,得到了这类神经网络全局指数稳定的充分准则.     

具滞后的区间Lurie型系统的鲁棒绝对稳定性

讨论了具滞后的区间非线性Lurie型控制系统的鲁棒绝对稳定性。用区间向量不等式、Lyapunov函数法和Riccati方程法研究了具滞后的区间Lurie型直接控制系统和具滞后的区间Lurie型间接控制系统的鲁棒绝对稳定性，得到了具滞后的区间非线性Lurie型控制系统鲁棒绝对稳定的一些充分条件，并给出了数值例子说明本文结论的有效性。     

船舶运动系统模糊控制器设计及稳定性分析

研究了船舶运动系统的离散模糊控制器设计及闭环离散模糊系统稳定性问题.首先建立了船舶运动系统的离散T-S模糊模型;然后,根据离散型分段模糊Lyapunov函数的定义,应用并行分布补偿方法,提出了一个新的判定闭环离散T-S模糊控制系统稳定性的充分条件,该条件仅需在每个最大交叠规则组中满足模糊Lyapunov函数方法中的条件,降低了公共Lyapunov函数方法和模糊Lyapunov函数方法的保守性和难度;最后,具体设计了一种船舶运动模糊控制器,仿真结果验证了所提方法的有效性.     

Stability of impulsive linear hybrid systems with time delay

<正> This paper investigates the stability of impulsive linear hybrid systems with time delay.And a number of delay-independent/delay-dependent stability criteria are obtained by using Lyapunovfunctions or Lyapunov functionals.Two examples are also presented to illustrate the effectiveness ofthe obtained results or to compare with the existing results.     

Razumikhin-type theorems for asymptotic stability of impulsive stochastic functional differential systems

<正>In this paper,we investigate the pth moment uniformly asymptotic stability of impulsive stochastic functional differential systems by extending some Razumikhin-type theorems.Based on the Lyapunov functions and Razumikhin techniques,some criteria are established and their applications to impulsive stochastic delay systems are proposed.An illustrative example shows the effectiveness of our results.     

Stability of coupled impulsive Markovian jump reaction-diffusion systems on networks

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.     

Strict Lyapunov functions for impulsive hybrid time-varying systems with discontinuous right-hand side

In this paper, explicit closed form expressions of nonsmooth strict Lyapunov functions for impulsive hybrid time-varying systems with discontinuous right-hand side is provided. Lyapunov functions are expressed in terms of known nonstrict Lyapunov functions for the dynamics and finite sums of persistency of excitation parameters.     

Study on Robust Uniform Asymptotical Stability for Uncertain Linear Impulsive Delay Systems

In the area of control theory the time-delay systems have been investigated. It's well known that delays often result in instability, therefore, stability analysis of time-delay systems is an important subject in control theory. As a result, many criteria for testing the stability of linear time-delay systems have been proposed. Significant progress has been made in the theory of impulsive systems and impulsive delay systems in recent years. However, the corresponding theory     

Finite-Time Stochastic Stability of Random Impulsive Positive System

The paper focuses on the finite-time stochastic stability(FTSS) problems for positive system with random impulses. Combining Lyapunov functions with the probability property of the impulsive interval, first, the sufficient conditions of FTSS for the positive systems affected by one type of random impulses are given; second, the criteria of FTSS for positive systems suffered from multiple types of random impulses are established. Finally, two examples are presented to show the validity of results.     

Chaotification of a continuous stable complex network via impulsive control

A method is proposed to chaotify a class of complex networks via impulsive control, when the orbits of the impulsive systems are con?ned in a bounded area. Based on computing the largest Lyapunov exponent, theoretical results and algorithmic analysis are given in details. Finally, numerical simulations are presented to illustrate the effectiveness of the method.     

Impulsive controller design for nonlinear networked control systems with time delay and packet dropouts

The globally exponential stability of nonlinear impulsive networked control systems(NINCS) with time delay and packet dropouts is investigated.By applying Lyapunov function theory,sufficient conditions on the global exponential stability are derived by introducing a comparison system and estimating the corresponding Cauchy matrix.An impulsive controller is explicitly designed to achieve exponential stability and ensure state converge with a given decay rate for the system.The Lorenz oscillator system is presented as a numerical example to illustrate the theoretical results and effectiveness of the proposed controller design procedure.     

非线性时变系统的部分指数稳定性分析

讨论了非线性时变系统平凡解的部分指数稳定性和全局部分指数稳定性。分别利用数量与向量Lyapunov函数并结合数量与向量比较原理,得到了保证系统平凡解部分指数稳定和全局部分指数稳定的一系列充分条件。作为特殊情形,对于一类定常拟线性系统,在一定的条件下,若其对应的线性系统的平凡解是部分渐近稳定的,利用二次型Lyapunov函数得到了保证拟线性系统的平凡解是全局部分指数稳定的一个代数判据,这些结果在实际应用中具有一定的指导意义。最后用两个数值例子对所得主要结果加以阐明。