Two classes of passive time-varying well-posed linear systems

被引：13

作者：

Schnaubelt, Roland ^{[1
]}

Weiss, George ^{[2
]}

机构：

[1] Karlsruhe Inst Technol, Inst Anal, Dept Math, D-76128 Karlsruhe, Germany

[2] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Tel Aviv, Israel

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2010年 / 21卷 / 04期

关键词：

Well-posed linear system; Operator semigroup; Linear time-varying system; Lax-Phillips semigroup; Scattering passive system; SCATTERING SYSTEMS; EQUATIONS;

D O I：

10.1007/s00498-010-0049-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We investigate two classes of time-varying well-posed linear systems. Starting from a time-invariant scattering-passive system, each of the time-varying systems is constructed by introducing a time-dependent inner product on the state space and modifying some of the generating operators. These classes of linear systems are motivated by physical examples such as the electromagnetic field around a moving object. To prove the well-posedness of these systems, we use the Lax-Phillips semigroup induced by a well-posed linear system, as in scattering theory.

引用

页码：265 / 301

页数：37

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