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In the third chapter, because there are theories about the systems without being generate and delay when they are of restricted state right endpoint, and thus based on that, the optimal control problems of the generate systems with delay with restricted state right endpoint is considered in the chapter.

第三章,由于在讨论不具有退化时滞的常微分系统的最优控制问题时候常常会涉及到右端受到限制的情形,由此推广到讨论退化时滞微分系统在右端受限的情况时候的最优控制问题,在本章里就对这样的最优控制问题进行了讨论,得出了一些重要结论。

In this dissertation, An improved adaptive genetic algorithm for robust test generation is presented, which adaptively adjust genetic parameter with evolution effect and the choice of initial population is based on the feature of the robust test.

本文对标准遗传算法进行了改造,提出了一种自适应遗传算法来解决强健时滞测试生成,该算法建立了根据进化程度调整群体尺寸的启发策略来加速测试生成,并且在初始群体的选择上充分利用了强健时滞测试的特点以取得优良的初始群体。

The positive periodic solution of functional differential equation with infinite delay is deeply concentrated these years, some scholars study this subject by means of Lyapunov theorem, Schauder fixed point theorem, and cone extending and compression theorem (from thesis -[5]), and they obtain the existence theorem of positive periodic solution.

近年来,无穷时滞泛函微分方程的周期解问题受到广泛关注,一些学者应用Lyapunov泛函方法,Schauder不动点方法,以及非线性泛函分析中的锥拉伸锥压缩方法(见[1]-[5]),研究了无穷时滞泛函微分方程的周期解的存在性问题。

In Chapter 3 Firstly, the exponential stability in mean square and almost sure exponential stability for neutral stochstic neural networks with time-varying delay can be discussed by using the linear matrix inequality and the semimartingale convergence theorem; And our sufficient conditions are less conserative; Secondly, by utilizing the fixed point theorem, some sufficient and necessary conditions ensuring the asymp- totic stability in mean square for neutral stochastic neural networks with time-varying delays can be given.

第三章首先,利用线性矩阵不等式方法和半鞅收敛定理,考虑了一类具变时滞中立型随机神经网络的二阶矩指数稳定性和几乎必然指数稳定性,所得到的条件保守性要好;其次,采用不动点方法,给出了具变时滞中立型随机神经网络的二阶矩渐近稳定性的充要条件。

The design method for the switching functional which leads to stable sliding modes is presented if the system is spectrally controllable.

摘要研究一类状态变量具有时滞的线性系统的变结构控制问题,指出传统的切换函数在时滞系统中应当是一个切换泛函,给出了在系统谱能控条件下具有稳定滑动模态的切换泛函的设计方法。

By integral equation theory, the existence and uniqueness of the model solution is proved, and then its asymptotic stability under the condition of stationary state is also discussed.

为了更详细地刻画经济系统,本文第五章在宏观经济系统中引入了时滞,给出带有时滞经济系统的分布参数控制模型。

First, an improved delay-dependent asymptotic stability criterion for singular time-delay systems in terms of a strict linear matrix inequality is investigated.

首先以线性矩阵不等式的形式给出了奇异时滞系统正则,无脉冲模且零解渐近稳定的一种新的时滞相关型判据。

In order to diagnose faults and to solve the physically unrealizable problems of the optimal fault-tolerant control law, a delay-free transformation approach was given for delayed measurements. The on-line fault diagnosis and the observation of system states were realized by constructing the reduced-order state observer for the augmented system comprising fault states.

为了进行故障诊断并解决最优控制的物理不可实现问题,给出了一种测量时滞的无时滞转换方法,并通过构造含有故障状态的增广系统的降维状态观测器,设计了在线诊断故障的故障诊断器并同时实现了系统状态的观测。

In this paper, we establish some new nonlinear integral inequalities with delay and present an application to estimate the boundness of solutions of certain nonlinear integral equations.

建立了两类非线性时滞积分不等式,并给出其在非线性时滞积分方程中的应用。

The delay-dependent memoryless robust stabilization problem for a class of uncertain time-delay systems containing saturating actuator is considered in this paper.

摘要研究了一类具有饱和执行器约束的不确定时滞系统时滞依赖型无记忆鲁棒控制问题。

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