OBSERVABILITY OF NONLINEAR SYSTEMS

被引：0
|
作者：
Knobloch, H. W. [1 ]
机构：
[1] Univ Wurzburg, Math Inst, Lehrstul Math 2, D-97094 Wurzburg, Germany
来源：
MATHEMATICA BOHEMICA | 2006年 / 131卷 / 04期
关键词：
ordinary differential equations; observability;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Observability of a general nonlinear system-given in terms of an ODE x = f(x) and an output map y = c(x)-is defined as in linear system theory (i.e. if f(x) = Ax and c(x) = Cx). In contrast to standard treatment of the subject we present a criterion for observability which is not a generalization of a known linear test. It is obtained by evaluation of "approximate first integrals". This concept is borrowed from nonlinear control theory where it appears under the label "Dissipation Inequality" and serves as a link with Hamilton-Jacobi theory.
引用
收藏
页码：411 / 418
页数：8
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