Exponential stability of nonlinear infinite-dimensional systems: Application to nonisothermal axial dispersion tubular reactors

被引：7

作者：

Hastir, Anthony ^{[1
,2
]}

Winkin, Joseph J. ^{[1
,2
]}

Dochain, Denis ^{[3
]}

机构：

[1] Univ Namur, Dept Math, Rempart de la Vierge 8, B-5000 Namur, Belgium

[2] Univ Namur, Namur Inst Complex Syst naXys, Rempart de la Vierge 8, B-5000 Namur, Belgium

[3] Catholic Univ Louvain, Inst Informat & Commun Technol Elect & Appl Math, Ave Georges Lemaitre 4-6, B-1348 Louvain La Neuve, Belgium

来源：

AUTOMATICA | 2020年 / 121卷

关键词：

Nonlinear distributed parameter systems; Frechet/Gateaux derivatives; Equilibrium profiles; Nonisothermal axial dispersion tubular reactor; Bistability; LINEARIZED STABILITY; DYNAMICAL ANALYSIS; EQUATIONS;

D O I：

10.1016/j.automatica.2020.109201

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Exponential stability of equilibria of nonlinear distributed parameter systems is considered. A general framework is set with related assumptions. In particular it is shown how to get local exponential stability of an equilibrium profile for the corresponding nonlinear system based on stability results for the linearized one. For this purpose a weakened concept of Frechet differentiability is required for the nonlinear semigroup generated by the nonlinear model, with links to Al Jamal and Morris (2018). The theoretical results are applied to a nonisothermal axial dispersion tubular reactor model and are illustrated with numerical simulations. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：15

共 50 条

[21] Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian Systems
Augner, Bjoern
Laasri, Hafida
SYSTEMS & CONTROL LETTERS, 2020, 144
[22] Robust stability of linear infinite-dimensional systems
Bobylev, N.A.
Bulatov, A.V.
Avtomatika i Telemekhanika, 1999, (05): : 32 - 44
[23] On the stability of infinite-dimensional linear inequality systems
López, MA
Mira, JA
Torregrosa, G
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1998, 19 (9-10) : 1065 - 1077
[24] On Observability and Stability in Infinite-Dimensional Linear Systems
Fuhrmann, P. A.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1973, 12 (02) : 173 - 181
[25] Stability radii of infinite-dimensional positive systems
Univ of Bremen, Bremen, Germany
Math Control Signals Syst, 3 (223-236):
[26] Some comments on stability of infinite-dimensional systems
Bobylev N.A.
Emel'Yanov S.V.
Korovin S.K.
Computational Mathematics and Modeling, 2000, 11 (2) : 103 - 108
[27] Stability of conformable linear infinite-dimensional systems
Sadek, Lakhlifa
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2023, 11 (03) : 1276 - 1284
[28] STABILITY OF LINEAR INFINITE-DIMENSIONAL SYSTEMS REVISITED
PRZYLUSKI, KM
INTERNATIONAL JOURNAL OF CONTROL, 1988, 48 (02) : 513 - 523
[29] Stability of conformable linear infinite-dimensional systems
Lakhlifa Sadek
International Journal of Dynamics and Control, 2023, 11 : 1276 - 1284
[30] Stability radius for infinite-dimensional interconnected systems
Jacob, Birgit
Moeller, Sebastian
Wyss, Christian
SYSTEMS & CONTROL LETTERS, 2020, 138

← 1 2 3 4 5 →