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By means of integral inequality and Kartsatos transformation, we investigate first-order impulsive delay dynamic equations on time scales. Several sufficient conditions of oscillation are obtained.

利用积分不等式和Kartsatos转换技巧,研究了时标上一阶时滞脉冲动力方程,得到了一些判断这类方程解的振动性的充分性条件。

The stability of Lurie type control systems with multiple time-delays and nonlinearities is considered. Based on the Lyapunov stability theory, using an improved new integral inequality and the method of linear matrix inequality, a refined method called the integral inequality approach is presented.

为了研究具有非线性干扰项的多时滞Lurie控制系统的稳定性问题,依据Lyapunov稳定性理论,利用线性矩阵不等式方法,通过一个改进的新积分不等式,给出了一个新的判断系统稳定的新方法―积分不等式法。

The major contributions of this dissertation are as follows:(1) Based on integral inequality, an LMI approach to the robust stability, robust stabilization and robust H_∞control of uncertain continuous-time and discrete-time linear singular systems with time-varying delay is developed.

论文主要工作有以下几个方面:(1)针对一类具有范数有界不确定的线性奇异时变时滞系统,基于积分不等式或有限和不等式,分别讨论连续和离散情形下的鲁棒稳定、鲁棒可镇定问题和鲁棒H_∞控制问题。

For the admissible time-delay as well as non-linear disturbances, an time-delay integral transformation and a matrix inequality method are developed. The design of observer and stability of error systems can be represented as a matrix inequality, matrix of observer gain and condition of global asymptotically stable of error systems are obtained. An example is included to illustrate the pratical applicability of the proposed theory.

对于允许的时滞和非线性干扰,利用一个变换和不等式技巧,将观测器的设计,误差方程的稳定性归结为一个矩阵不等式,给出了观测器增益阵的解析式和误差方程全局渐近稳定的条件,一个例子说明了所提定理的可行性。

Secondly, in view of the identification problem after the change of MRAPC structure, the research has been extended to a kind of continuous system with time delay, and the robust convergence analysis for this model reference adaptive identification algorithm has been given. Using the intermediate value theorem in this analysis, the approximate problem in original analysis has been solved partly.

2针对MRAPC算法结构改变后产生的自适应辨识问题,考虑一种更一般的具有实零极点的时滞连续系统的模型参考自适应辨识算法,作者分析了该算法的鲁棒收敛性,在运用微分中值定理的基础上,解决了原有的收敛性分析中存在的近似问题。

Considering that main steam pressure of burning system is a big-lagged, big-inertial and nonlinear object, a cascade control system is designed, which uses the radiation signal as intermediate regulated variable.

针对火电厂燃烧过程中主蒸汽压力控制系统的大时滞、大惯性和非线性,采用以炉膛辐射信号为中间被调量的串级控制系统,并设计一个基于神经网络预测模型的模糊神经网络控制器作为主控制器。

Some conditions for weakly Persistence and extinction are obtained;In the second part, we respectively use C_h space and C_g space theorem to study the existence of periodic solutions of Lotka-Volterra equation with infinite delay, in the end we get the condition of the existense of periodic solutions and estimate the interzone of it.

第二部分利用相空间理论,分别以C_h空间和C_g空间为相空间研究了具有无限时滞的Lotka-Volterra方程周期解的存在性问题,给出了周期解存在的充分条件,并估计出了周期解的存在区间。

Uncertain time-delay systems ; invariant ellipsoid set ; model predictive control ; stability

不确定时滞系统;不变椭圆集;预测控制;稳定性

Dual mode predictive control method is proposed for reducing on-line burden. The proposed method applies the ellipsoid invariant set to the terminal set.

该方法将时滞系统的不变椭圆集应用于预测控制的终端约束集,保证了输入受限系统的可行性和稳定性。

When the predictive states are in invariant ellipsoid set, the off-line state-feedback law is adopted. Thus, computational burden is reduced.

最后将时滞系统的滑模面作为预测控制的不变集,扩大了终端约束集,有效缩短了预测时域。

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