On Existence and Uniqueness of Random Impulsive Differential Equations

This paper studies existence and uniqueness for random impulsive differential equations. The authors first generalize a random fixed point theorem of Schaefer’s type. Then the authors shall rely on the generalized Schaefer’s type random fixed point theorem to discuss the existence of the system. In addition, the authors study the existence and uniqueness of random impulsive differential equations by applying random Banach fixed point theorem and obtain some less conservative results. Finally, an example is given to illustrate the effectiveness of the results.     

EXISTENCE AND UNIQUENESS AND STABILITY OF SOLUTIONS FOR STOCHASTIC IMPULSIVE SYSTEMS

This paper studies the existence, uniqueness, and stability of solutions for stochastic impulsive systems. By employing Lyapunov-like functions, some sufficient conditions of the global existence, uniqueness, and stability of solutions for stochastic impulsive systems are established. Furthermore, the results are specialized to the case of linear stochastic impulsive systems. Finally, some examples are given to illustrate the applications of our theory.     

一类带非线性扰动不确定系统的脉冲控制

在实际系统中,总存在各种干扰。针对一类带非线性扰动的线性不确定系统,采用脉冲控制的方法来实现鲁棒镇定,提出了脉冲控制下新的鲁棒可镇定判据,并通过实例仿真验证了所得结果的有效性。     

Boundary Value Problems for Singular and Time-delay Measure Differential Systems with Impulsive Effects

ＢｏｕｎｄａｒｙＶａｌｕｅＰｒｏｂｌｅｍｓｆｏｒＳｉｎｇｕｌａｒａｎｄＴｉｍｅｄｅｌａｙＭｅａｓｕｒｅＤｉｆｅｒｅｎｔｉａｌＳｙｓｔｅｍｓｗｉｔｈＩｍｐｕｌｓｉｖｅＥｆｅｃｔｓＷＡＮＧＷｅｉＬＩＵＹｏｎｇｑｉｎｇＤｅｐａｒｔｍｅｎｔｏｆＡｕｔｏｍ...     

Study on Variation of Parameters Formula and Stability for Impulsive Time－Delay Nonlinear Large Scale Systems

ＳｔｕｄｙｏｎＶａｒｉａｔｉｏｎｏｆＰａｒａｍｅｔｅｒｓＦｏｒｍｕｌａａｎｄＳｔａｂｉｌｉｔｙｆｏｒＩｍｐｕｌｓｉｖｅＴｉｍｅ－ＤｅｌａｙＮｏｎｌｉｎｅａｒＬａｒｇｅＳｃａｌｅＳｙｓｔｅｍｓＧＵＡＮＺｈｉｈｏｎｇ（Ｄｅｐｔ．ｏｆＢａｓｉｃＳｃｉｅｎｃ...     

Robust Stabilization Control for a Class of Nonlinear Measure Differential Systems with Delay

ＲｏｂｕｓｔＳｔａｂｉｌｉｚａｔｉｏｎＣｏｎｔｒｏｌｆｏｒａＣｌａｓｏｆＮｏｎｌｉｎｅａｒＭｅａｓｕｒｅＤｉｆｅｒｅｎｔｉａｌＳｙｓｔｅｍｓｗｉｔｈＤｅｌａｙ⒇ＹＵＥＤｏｎｇＸＵＳｈｉｆａｎＣｏｌｅｇｅｏｆＩｎｆｏｒｍａｔｉｏｎａｎｄＥｌｅｃｔｒｉｃ...     

EXISTENCE AND UNIQUENESS OF ENDEMIC STATES FOR THE AGE-STRUCTURED SEIR EPIDEMIC MODEL

An age-structured SEIR epidemic model of a vertically as well as horizontally transmitteddisease is investigated.Threshold results for the existence of endemic states are established for mostcases.Under certain conditions,uniqueness is also shown.Threshold used are explicitly computablein term of demographic and epidemiological parameters of the model.     

IMPULSIVE BOUNDARY VALUE PROBLEMS FOR STURM-LIOUVILLE TYPE DIFFERENTIAL INCLUSIONS

In this paper, the authors investigate the existence of solutions of impulsive boundary value problems for Sturm-Liouville type differential inclusions which admit non-convex-valued multifunctions on right hand side. Two results under weaker conditions are presented. The methods rely on a fixed point theorem for contraction multi-valued maps due to Covitz and Nadler and Schaefer＇s fixed point theorem combined with lower semi-continuous multi-valued operators with decomposable values.     

Input-to-State Stability for Impulsive Switched Singular Systems with Mismatched Disturbances

This work investigates the input-to-state stability(ISS) problem for impulsive switched singular systems(ISSSs) with mismatched disturbances. In this paper, ‘disturbance’ is a general concept that includes model uncertainty, unknown system dynamic, external disturbance, etc. The modified uncertainty and disturbance estimator(UDE)-based control method is presented for singular systems and ISSSs, a virtual control is introduced to offset the effects of mismatched disturbances. On the basis of a di...     

Existence of Positive Periodic Solutions for the SIV Epidemic Model with Impulsive Vaccination and Infection-Age

In this paper, we discuss the SIV epidemic model with impulsive vaccination and infection-age. Bifurcation theory and Lyapunov-Schmidt series expansion are used to show the existence of the positive periodic solutions under some conditions.     

非线性时变系统的输出跟踪

研究一类非线性时变控制系统的输出跟踪控制问题。首先,给出了时变李导数及非线性时变系统的相对阶定义;其次,在系统输入输出反馈线性化的基础上,设计了跟踪期望信号的时变状态反馈控制律;最后给出了数值算例,用仿真结果说明了本文方法的有效性。     

非线性系统的T-S模糊建模与控制

研究了非线性系统的T-S模糊建模与控制问题，并应用到一级倒立摆的模糊建模中，采用并行分配补偿法（PDC）设计控制器，并用线性矩阵不等式（LMI）计算控制器参数，仿真验证建模正确，控制器简洁有效。     

非线性中立型延迟微分方程的散逸性

主要研究非线性中立型延迟微分方程本身及其数值方法的散逸性问题。首先,对此类中立型延迟微分方程理论解的散逸性给出了充分条件;随后,应用一类线性多步法求解至该类问题,证明了在适当条件下,其数值解也具有散逸性;最后,数值试验进一步验证了理论结果的正确性。     

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     

Cluster-Delay Consensus for Second-Order Nonlinear Multi-agent Systems

This paper investigates the second-order nonlinear multi-agent systems subject to the cluster-delay consensus. The multi-agent systems consist of leader and agents, whose dynamics are second-order nonlinear. The objective is that the agents track the leader asymptotically with different time delays, i.e., the agents in different groups reach delay consensus, while the agents in the same group reach identical consensus. To guarantee the cluster-delay consensus for the second-order multi-agent systems, a new control protocol is proposed. Then some corresponding conditions for cluster-delay consensus are derived by using Lyapunov directed method and matrix theory. Finally, the effectiveness of the theoretical analysis results are verified by some numerical simulations.     

一种MIMO通信系统的非线性译码算法及仿真

针对MIMO通信系统,提出一种非线性译码算法,并根据Fisher准则选择最有利于信号分离的空间并降低信号维数,以克服通常非线性方法计算量较大的不足.另外,由于利用接收信号的高阶统计特性,其性能优于常规线性最小均方和排序连续干扰抵消算法.计算机仿真表明,即使在各接收通道存在一定增益不一致的情况下,所提出算法的生能也较常规算法有明显提高.     

非线性系统自适应逆设计及应用

对于一类存在输入未建模动态的非线性系统,提出了一种基于RBF神经网络的自适应逆补偿器设计方法。首先应用两个神经网络设计了补偿器,一个用来估计输入未建模动态,另一个用来作为未建模动态的自适应逆补偿器。该设计放宽了对未建模动态的一些苛刻的要求,如相对度为零,满足小增益条件等。仅要求D(u)逆稳和连续光滑。然后应用反演设计技术设计了控制器,并应用Lyapunov稳定性理论推导出神经网络权重向量的调节律,同时证明了闭环系统的渐进稳定性。最后给出的BTT导弹纵向控制系统设计仿真实例证明了该设计方法的有效性。     

A Nonlinear Small-Gain Theorem for Large-Scale Infinite-Dimensional Systems

This paper develops a large-scale small-gain result for dynamic networks composed of infinite-dimensional subsystems. It is assumed that the subsystems are input-to-output stable (IOS) and unboundedness observable (UO), and the large-scale infinite-dimensional system can be proved to be IOS and UO if the proposed small-gain condition is satisfied.     

非线性多智能体系统分布式鲁棒输出调节

为解决具有一般非线性形式和不确定参数的多智能体系统的协调控制问题,设计了非线性分布式反馈控制器,使得多智能体系统鲁棒渐近跟踪参考信号或者鲁棒渐近抑制干扰。在所考虑的多智能体系统中,将动态领导者或者环境干扰看作是产生参考信号或者干扰信号的外部系统。最后,给出一个仿真算例,验证所得结果的有效性。     

Sampling Dependent Stability Results for Aperiodic Sampled-Data Systems

This paper investigates sampling dependent stability for aperiodic sampled-data systems by employing a Lyapunov-like functional that is time-dependent, and not imposed to be definite positive.Based on the system information on the sampling interval wholly rather than partly, a new Lyapunovlike functional is constructed, which extends existing ones by introducing the integral of the system state and the cross terms among this integral and the sampled state. To take advantage of the integral of the system state, integral equations of the sampled-data system are explored when estimating the derivative of the extended functional. By the Lyapunov-like functional theory, a new sampling dependent stability result is obtained for sampled-data systems without uncertainties. Then, the stability result is applied to sampled-data systems with polytopic uncertainties and a robust stability result is derived. At last,numerical examples are given to illustrate that the stability results improve over some existing ones.