Well-posedness of non-autonomous semilinear systems

被引：5

作者：

Schmid, Jochen ^{[1
,2
]}

Dashkovskiy, Sergey ^{[1
]}

Jacob, Birgit ^{[3
]}

Laasri, Hafida ^{[3
]}

机构：

[1] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany

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

[3] Univ Wuppertal, Sch Math & Nat Sci, D-42119 Wuppertal, Germany

来源：

IFAC PAPERSONLINE | 2019年 / 52卷 / 16期

关键词：

Well-posedness; global stability; non-autonomous systems; nonlinear systems; infinite-dimensional systems; generalized solutions and outputs;

D O I：

10.1016/j.ifacol.2019.11.781

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 present well-posedness - along with global stability - results for non-autonomous semilinear input-output systems, the central assumption being that the considered system is scattering-passive. We consider both systems with distributed control and observation and systems with boundary control and observation. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：216 / 220

页数：5

共 50 条

[1] The well-posedness of a parabolic non-autonomous semilinear equation
Fkirine, Mohamed
Hadd, Said
IFAC PAPERSONLINE, 2022, 55 (12): : 198 - 201
[2] WELL-POSEDNESS AND STABILITY OF NON-AUTONOMOUS SEMILINEAR INPUT-OUTPUT SYSTEMS
Schmid, Jochen
EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, 11 (06): : 2183 - 2208
[3] Well-posedness of non-autonomous evolutionary inclusions
Trostorff, Sascha
Wehowski, Maria
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 101 : 47 - 65
[4] Well-posedness of non-autonomous transport equation on metric graphs
Christian Budde
Marjeta Kramar Fijavž
Semigroup Forum, 2024, 108 : 319 - 334
[5] Well-posedness of non-autonomous transport equation on metric graphs
Budde, Christian
Fijavz, Marjeta Kramar
SEMIGROUP FORUM, 2024, 108 (02) : 319 - 334
[6] WELL-POSEDNESS OF INFINITE-DIMENSIONAL NON-AUTONOMOUS PASSIVE BOUNDARY CONTROL SYSTEMS
Jacob, Birgit
Laasri, Hafida
EVOLUTION EQUATIONS AND CONTROL THEORY, 2021, 10 (02): : 385 - 409
[7] Well-posedness of a general class of non-autonomous hyperbolic boundary problems
A. Amansag
Journal of Elliptic and Parabolic Equations, 2023, 9 : 853 - 873
[8] Well-posedness of a general class of non-autonomous hyperbolic boundary problems
Amansag, A.
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2023, 9 (02) : 853 - 873
[9] Well-posedness and asymptotic behaviour of non-autonomous linear evolution equations
Schnaubelt, R
EVOLUTION EQUATIONS, SEMIGROUPS AND FUNCTIONAL ANALYSIS: IN MEMORY OF BRUNELLO TERRENI, 2002, 50 : 311 - 338
[10] Well-posedness of non-autonomous linear evolution equations in uniformly convex spaces
Schmid, J.
Griesemer, M.
MATHEMATISCHE NACHRICHTEN, 2017, 290 (2-3) : 435 - 441

← 1 2 3 4 5 →