时变广义系统线性二次最优控制

研究时变广义系统线性二次最优控制问题.通过引进时变广义系统脉冲能控性及脉冲能观性等概念,建立了这类问题与标准状态空间系统二次指标问题的等价性.进而证明了解的存在唯一性,给出了解的表示和最优反馈综合.     

广义系统的能控、能观性判别条件

该文讨论广义系统能控、能观性问题,给出了广义系统能控和能观性一种新的判别条件.     

广义区间动力系统的能控性

讨论了广义区间动力系统正则性、I-能控与C-能控问题.由于上述问题等价于判别某个区间矩阵为列满秩,首先得到判别区间矩阵为列满秩的充分条件与充分必要条件,进一步得到了判别广义区间系统为正则的充分必要条件、I-能控的充分条件与C-能控的充分必要条件.通过数值实例说明所得到的结果相对于已有结果更具有一般性及有效性.由对偶原理,得到相应的能观性的判据.     

基于H表示的时变随机Markov 跳跃系统的能观性

研究时变连续和离散随机Markov 跳跃系统(SMJSs) 的能观性问题. 基于H-表示方法将时变SMJSs 转化为等价的时变线性系统, 根据线性系统理论得到时变连续和离SMJSs 的能观性Gramian 矩阵判据. 数值仿真表明了所得结论的正确性.     

基于?表示的时变随机Markov跳跃系统的能观性

研究时变连续和离散随机Markov跳跃系统(SMJSs)的能观性问题。基于?表示方法将时变SMJSs转化为等价的时变线性系统,根据线性系统理论得到时变连续和离散SMJSs的能观性Gramian矩阵判据。数值仿真表明了所得结论的正确性。     

布尔控制网络的能控性与能观性

利用矩阵的半张量积,布尔控制网络被转化为离散时间系统.本文从离散时间系统的结构矩阵出发,讨论了逻辑控制系统的能控能观性条件,得到了一个新的能控性条件.新的条件简化了原有能控性矩阵的计算复杂性,矩阵的最高阶数由原来的2m+n降到了2n.另外,还得到了检验布尔控制网络能观性的条件.与原有条件相比,新的条件更容易计算检验.最后,给出一个实例,检验给出的能控能观性判断条件的正确性.     

一类混合动态系统的能控性和能观性研究

针对一类混合动态系统———周期型线性切换系统, 给出系统能控性、能观性的充分必要条件, 并通过例子加以验证.     

一类混合动态系统的能控性和能观性研究

针对一类混合动态系统--周期型线性切换系统,给出系统能控性、能观性的充分必要条件,并通过例子加以验证.     

二阶邻居协议下多智能体系统能控能观性保持

为了研究多智能体系统的一致性特点及能控、能观性保持策略,分析了具有时变拓扑结构的多智能体系统在一阶邻居协议和二阶邻居协议下的一致性速度,针对拓扑结构的特殊性,利用结构能控性性质和拉普拉斯矩阵第二小特征值与一致性速度之间存在的关系设计出一种使能控性和能观测性保持的控制策略。此外,得出多智能体系统在二阶邻居协议下,具有更快的一致性速度的结论。文中2个主要定理分别通过算例和仿真进行验证,算例和仿真结果与定理结论一致。     

一类离散非方广义系统的能控性与能观性

本文针对一类离散非方广义系统模型,引入乘子得到其逆等矩阵模型,并进一步判断该类系统模型的完全能控性、能达能控性、完全能观性、能达能观性以及之间的对偶关系。     

Robustness of controllability and observability of continuouslinear time-varying systems with parameter perturbations

The controllability and the observability of continuous linear time-varying systems with norm-bounded parameter perturbations are analyzed. The sufficient conditions which ensure the controllability of the perturbed system are presented by using the derived state transition matrix relationship between the nominal system and the perturbed system. The proposed sufficient conditions allow the evaluation of controllability under the norm-bounded parameter perturbations. The robustness of the observability is also studied for continuous linear time varying systems with norm-bounded parameter perturbations, and the corresponding sufficient conditions are provided     

On controllability and observability for a class of impulsive systems

Many dynamic systems in physics, chemistry, biology, engineering, and information science have impulsive dynamical behaviors due to abrupt jumps at certain instants during the dynamical processes. These complex dynamic behaviors can be modeled by impulsive differential systems. This paper studies the controllability and observability for a class of time-varying impulsive control systems. Several sufficient and necessary conditions for state controllability and state observability of such systems are established and the corresponding criteria for time-invariant impulsive control systems are also obtained. Meanwhile, several new results associated with variation of parameters for time-varying impulsive control systems are derived.     

CONTROLLABILITY OF A CLASS OF SINGULAR SYSTEMS

In this paper, several different concepts of controllability are investigated for a class of linear singular systems which system parameters are piecewise constant. Necessary and sufficient geometric criteria for C‐controllability and R‐controllability of such systems are established, respectively. These conditions can be easily transformed into algebraic form. By applying the principle of duality, C‐observability is discussed as well. Furthermore, the intrinsic relationship between these results and existing results are also discussed. Then, a novel necessary, and sufficient criterion for C‐controllability of linear time‐invariant singular systems is derived as a byproduct.     

Impulse Analysis of Linear Time-Varying Singular Systems

Impulsive part of solution to initial value problem of linear time-varying singular systems is given explicitly. Impulse observability and impulse controllability for the systems are redefined     

奇异摄动分散系统的反馈控制

本文讨论了线性时不变奇异摄动分散控制系统的反馈控制问题。提出了该系统的近似固定模、摄动固定模及固定模的概念,并给出了相应的充要条件。利用上述概念,得到了该系统在分散反馈下单通道可控、可观的充分条件。     

The robustness of controllability and observability for discrete linear time-varying systems with norm-bounded uncertainty

Controllability and observability of discrete linear time-varying systems with norm-bounded parameter uncertainties are analyzed in this note. Like in the continuous case, we propose the sufficient conditions, which ensure controllability and observability of the uncertain system. The proposed conditions allow the evaluation of controllability and observability of the uncertain system without knowledge of specific values of uncertainties.     

Controllability and observability for time‐varying switched impulsive controlled systems

This paper is concerned with the controllability and observability for linear time‐varying switched impulsive systems. First, some new results about the variation of parameters for time‐varying switched impulsive systems are derived. Then less conservative sufficient conditions and necessary conditions for state controllability and observability of such systems are established. And for such system without impulsive control input, sufficient and necessary conditions for controllability and observability are derived. Furthermore, corresponding criteria applied to time‐varying impulsive systems are also discussed and examples are presented to show the effectiveness of the proposed results. Copyright © 2009 John Wiley & Sons, Ltd.     

网络控制系统的能控性和能观性

给出了网络控制系统的定义，并基于线性时不变系统的被控对象，建立了传感器为时钟驱动，控制器和作动器为事件驱动时长时滞网络控制系统的数学模型，对网络控制系统的均值能控、均方能控、均值能观及均方能观作了定义，得到了网络控制系统能控的充分或必要条件及能观的充要条件．     

基于LMI 的线性时变周期系统的稳定性及鲁棒控制

线性时变周期（LTVP）系统的能控性、能观性、稳定性、镇定性等问题的研究一般需要依赖于系统的状态转移矩阵.但是,获得一般LTVP系统的状态转移矩阵十分困难.借鉴解决线性定常系统鲁棒控制问题的思路,把周期问题转化为一类范数有界问题,避开了求取系统状态转移矩阵;设计了基于LMI的使LTVP系统镇定的无记忆反馈控制器和基于LMI的使LTVP系统鲁棒镇定无记忆反馈控制器,仿真算例验证了所提出方法的有效性.     

The robustness of controllability and observability of linear time-varying systems

Fixed point methods from nonlinear analysis are used to establish conditions under which the uniform complete controllability, of linear time-varying systems is preserved under nonlinear perturbations in the state dynamics and the zero-input uniform complete observability of linear time-varying systems is preserved under nonlinear perturbation in the state dynamics and output read-out map. Robustness of partial controllability., observability, and a specific kind of nonzero input observability are also proven.