This note presents necessary and sufficient conditions for the quadratic stability and stabilization of dynamic interval systems. The results are obtained in terms of linear matrix inequalities (LMIs) and extended to the quadratic stability and stabilization of linear systems with uncertain parameters.With the powerful LMI toolbox, it is very convenient to solve these problems. The illustrative examples show that this method is effective and less conservative to check the robust stability and to design the stabilizing controller for dynamic interval systems.

针对由Petri网建模的离散事件系统，提出了一种新的控制器设计方法。控制器是基于有限容量库所的概念构造而成的，并使被控对象在给定的一组线性不等式约束下运行，而给定的线性不等式约束是定义在库所标识上的。控制器的综合利用了有限容量库所Petri网转换为（普通）无限容量库所Petri网的技术。针对约束的不同情况，给出了相应的Petri网的控制器的设计方法。

提出一种介于动态解耦与静态解耦之司的能量解耦方法，即从输入输出的能量关系上实现解耦，使得任何一个输入的能量主要控制对应的一个输出的能量，对其它输出能量的影响尽可能小所给实例表明，该方法具有良好的解耦效果。

computationally tractable unified finite word length closed-loop stability measure is derived which is applicable to fixed-point, floating-point and block-floating-point representation schemes. Both the dynamic range and precision of an arithmetic scheme are considered in this new unified measure. For each arithmetic scheme, the optimal controller realization problem is defined and a numerical optimization approach is adopted to solve it. Numerical examples are used to illustrate the design procedure and to compare the optimal controller realizations in different representation schemes.

Robust stabilisability and H∞ control criteria are provided for a class of uncertain timedelay systems with multiple state delays. Simpler and less conservative delay-dependent results given in terms of linear matrix inequalities (LMIs) are derived based on Lyapunov-Krasovskii functional method and Riccati equation transformation technique.