Question

帮我翻译一下，感激不尽

In this note, a switched Lyapunov function approach is proposed for
stability analysis and control synthesis for switched systems. Motivated
by recent results developed for polytopic time varying uncertain systems,
a condition has been proposed for stability analysis of switched
systems. Even if this condition has been proved to be equivalent to a
classical one, it is shown to be less conservative when constrained control
design problems are investigated. The difficult problem related to
switched-static output-feedback design has been addressed to illustrate
such a conservatism reduction. As the proposed conditions are LMI
based conditions, they can be easily extended to other control problems
(Decentralized control, H1 control, etc.). Moreover, the results
presented in this note can be easily applied to the class of piecewise
affine and hybrid systems considered in [8] leading to less conservative
results for constrained control problems. Finally, the proof technique
used in this note holds also when the set of system matrices is
infinite. One can take any picewise constant time function within a certain
polytope and verify the conditions at edges of the polytope.

Answer 1

在此请注意,一个切换李雅普诺夫函数方法是分析和控制合成forstability提议为切换系统。最近开发的Motivatedby结果多面体不确定系统随时间变化的,提出了一个条件的switchedsystems为稳定性分析。即使这种情况已经被证明是相当于aclassical一,这是证明是不太保守了controldesign时约束问题。困难的问题相关toswitched-static输出反馈设计已寄给illustratesuch一个保守主义还原。 由于该条件LMIbased条件,他们可以很容易地扩展到其他控制问题(分散控制,H1控制等)。此外,resultspresented在这本笔记可以很容易地应用到类的piecewiseaffine和混合系统中考虑[8]导致更少的conservativeresults约束控制问题。 最后,证明techniqueused在这个注意保存也当isinfinite组系统矩阵。 一个可以采取任何picewise常数时间函数在一个certainpolytope和验证条件在边缘的多面体。 复制的~~

Answer 2

有道自己翻译一下 里面有些专业用语，，不太了解你的用途 不能准确直译