STABILIZATION OF PORT-HAMILTONIAN SYSTEMS WITH DISCONTINUOUS ENERGY DENSITIES

被引：1

作者：

Schmid, Jochen ^{[1
]}

机构：

[1] Fraunhofer Inst Ind Math ITWM, Fraunhofer Pl 1, D-67663 Kaiserslautern, Germany

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2022年

关键词：

Stabilization of port-Hamiltonian systems; exponential stability; en-ergy densities of bounded variation; static linear boundary control; STABILITY;

D O I：

10.3934/eect.2021063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish an exponential stabilization result for linear port Hamiltonian systems of first order with quite general, not necessarily continuous, energy densities. In fact, we have only to require the energy density of the system to be of bounded variation. In particular, and in contrast to the previously known stabilization results, our result applies to vibrating strings or beams with jumps in their mass density and their modulus of elasticity.

引用

页码：1775 / 1795

页数：21

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