Algebraic criteria for absolute stability

Rongdong Wang
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引用次数: 3

Abstract

Algebraic criteria for absolute stability of Lure system is derived by using optimization technique from theorems about complex systems. The conditions for absolute stability are expressed in the form of inequalities, which contain no variable other than system parameters, and therefore can be checked readily. The values of the left-hand sides of the inequalities also give information about the extent of the absolute stability. Furthermore, some system parameters (variables) can be included in the inequalities and can be solved for by using the symbolic computation technique, therefore, the criteria are useful for system design. Finally, the criteria can be easily automated on a computer.<>
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绝对稳定性的代数判据
利用优化技术,从复杂系统的定理出发,导出了系统绝对稳定性的代数判据。绝对稳定的条件以不等式的形式表示,其中除了系统参数之外不包含任何变量,因此可以很容易地进行检查。不等式左边的值也提供了绝对稳定程度的信息。此外,一些系统参数(变量)可以包含在不等式中,并可以用符号计算技术求解,因此,该准则对系统设计是有用的。最后,这些标准可以很容易地在计算机上自动化
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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