A STRUCTURAL OBSERVATION ON PORT-HAMILTONIAN SYSTEMS

被引：1
|
作者：
Picard, Rainer H. [1 ]
Trostorff, Sascha [2 ]
Watson, Bruce [3 ]
Waurick, Marcus [4 ]
机构：
[1] Tech Univ Dresden, Dept Math, D-01062 Dresden, Saxony, Germany
[2] CAU Kiel, Math Seminar, D-24118 Kiel, Germany
[3] Univ Witwatersrand, Sch Math, ZA-2000 Johannesburg, South Africa
[4] TU Bergakademie Freiberg, D-09599 Freiberg, Germany
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2023年 / 61卷 / 02期
关键词：
port-Hamiltonian systems; m-accretive operators; congruences; BOUNDARY CONTROL-SYSTEMS; WELL-POSEDNESS; OPERATORS;
D O I：
10.1137/21M1441365
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 study port-Hamiltonian systems on a family of intervals and characterize all boundary conditions leading to m-accretive realizations of the port-Hamiltonian operator and thus to generators of contractive semigroups. The proofs are based on a structural observation that the port-Hamiltonian operator can be transformed to the derivative on a familiy of reference intervals by suitable congruence relations, allowing for studying the simpler case of a transport equation. Moreover, we provide well-posedness results for associated control problems without assuming any additional regularity of the operators involved.
引用
收藏
页码：511 / 535
页数：25
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