An integral-invariance principle for nonlinear systems
An integral-invariance principle for nonlinear systems
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DOI：
10.1109/9.388676
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发表时间：
1995-06
期刊：
影响因子：
--
通讯作者：
C. Byrnes;C. Martin
中科院分区：
文献类型：
--
作者：
C. Byrnes;C. Martin
本文提出了一个积分不变原理，它推广了非线性系统的LaSalle不变原理。主要的新成分是使用观察功能和某些可积性条件，这是特别适合于涉及控制和观察的动力系统。积分不变性原理导致了一系列有关稳定性，可观测性和李雅普诺夫理论的匡威定理的结果。推论包括明显不同的自适应控制，非线性控制，无源电路和系统的稳定性结果。>
In this paper we present an integral-invariance principle generalizing LaSalle's invariance principle for nonlinear systems. The principal new ingredients are the use of observation functions and certain integrability conditions, which are particularly well suited for dynamical systems involving control and observations. The integral-invariance principle leads to the development of a series of results relating stability, observability, and the converse theorems of Lyapunov theory. Corollaries include apparently diverse stabilizability results for adaptive control, nonlinear control, and passive circuits and systems. >