A class of incrementally scattering-passive nonlinear systems

被引：7

作者：

Singh, Shantanu ^{[1
]}

Weiss, George ^{[1
]}

Tucsnak, Marius ^{[2
]}

机构：

[1] Tel Aviv Univ, Sch Elect Eng, IL-69978 Ramat Aviv, Israel

[2] Univ Bordeaux, CNRS, Bordeaux INP, F-33400 Talence, France

来源：

AUTOMATICA | 2022年 / 142卷

关键词：

Well-posed linear system; Operator semigroup; Lax-Phillips semigroup; Scattering passive system; Maximal monotone operator; Crandall-Pazy theorem; DIMENSIONAL LINEAR-SYSTEMS; UNBOUNDED CONTROL; WELL-POSEDNESS; HYBRID SYSTEM; THIN AIR; PART II; STABILIZATION; ADMISSIBILITY; OPERATORS; CONTROLLABILITY;

D O I：

10.1016/j.automatica.2022.110369

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 a special class of nonlinear infinite dimensional systems. These are obtained by subtracting a nonlinear maximal monotone (possibly multi-valued) operator M from the semigroup generator of a scattering passive linear system. While the linear system may have unbounded linear damping (for instance, boundary damping) which is only densely defined, the nonlinear damping operator M is assumed to be defined on the whole state space. We show that this new class of nonlinear infinite dimensional systems is well-posed and incrementally scattering passive. Our approach uses the theory of maximal monotone operators and the Crandall-Pazy theorem about nonlinear contraction semigroups, which we apply to a Lax-Phillips type nonlinear semigroup that represents the whole system. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：14

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