Overlapping block-balanced canonical forms and parametrizations: The stable SISO case

被引：10

作者：

Hanzon, B ^{[1
]}

Ober, RJ ^{[1
]}

机构：

[1] UNIV TEXAS,CTR ENGN MATH,RICHARDSON,TX 75083

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1997年 / 35卷 / 01期

关键词：

linear dynamical systems; differentiable manifolds; stable systems; canonical forms; atlas; system identification; MODEL-REDUCTION; SYSTEMS;

D O I：

10.1137/S0363012993260549

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The balanced canonical form and parametrization of Ober for the case of SISO stable systems are extended to block-balanced canonical forms and related input-normal forms and parametrizations. They form an overlapping atlas of parametrizations of the manifold of stable SISO systems of given order. This extends the usefulness of these parametrizations, e.g., in gradient algorithms for system identification. As an implication of our construction it follows that each of the subsets of the parametrization of [R. Ober, Internat. J. Control, 46 (1987), pp. 683-670] corresponding to a choice for the structural indices is in fact an imbedded submanifold of the manifold of stable SISO systems of fixed order.

引用

页码：228 / 242

页数：15

共 25 条

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[2]

Clark J. M. C., 1976, P JOINT AUT CONTR C, P576

[3] A FUNCTIONAL-APPROACH TO LQG BALANCING [J].