INPUT-TO-STATE STABILITY OF NON-AUTONOMOUS INFINITE-DIMENSIONAL CONTROL SYSTEMS

被引：0

作者：

Damak, Hanen ^{[1
]}

机构：

[1] Fac Sci Sfax, Dept Math, Sfax, Tunisia

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2023年 / 13卷 / 03期

关键词：

Non-autonomous infinite-dimensional systems; input-to-state stability; integral input-to-state stability; Lyapunov methods; SMALL-GAIN THEOREM; LYAPUNOV FUNCTIONS; ASYMPTOTIC STABILITY; NONLINEAR-SYSTEMS; ISS;

D O I：

10.3934/merf.2022035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses input-to-state stability (ISS) and integral input-to-state stability (iISS) for non-autonomous infinite-dimensional control systems. With the notion of uniformly exponential stability scalar function, ISS and iISS are considered based on indefinite Lyapunov functions. In addition, we obtain several necessary and sufficient characterizations of the iISS property, expressed in terms of dissipation inequalities. As a result, the iISS criteria of non-autonomous bilinear systems is also established. Furthermore, an illustrative example is given to show the applicability of the results.

引用

页码：1212 / 1225

页数：14

共 50 条

[31] 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
[32] NONCOERCIVE LYAPUNOV FUNCTIONS FOR INPUT-TO-STATE STABILITY OF INFINITE-DIMENSIONAL SYSTEMS (vol 58, pg 2952, 2020)
Jacob, Birgit
Mironchenko, Andrii
Partington, Jonathan R.
Wirth, Fabian R.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (03) : 1910 - 1911
[33] ON THE STRUCTURE OF THE GLOBAL ATTRACTOR FOR INFINITE-DIMENSIONAL NON-AUTONOMOUS DYNAMICAL SYSTEMS WITH WEAK CONVERGENCE
Caraballo, Tomas
Cheban, David
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (01) : 281 - 302
[34] Input-to-state stability of impulsive stochastic infinite dimensional systems with Poisson jumps
Wang, Pengfei
Wang, Xiaolei
Su, Huan
AUTOMATICA, 2021, 128 (128)
[35] Input-to-State Stability of homogeneous infinite dimensional systems with locally Lipschitz nonlinearities
Polyakov, Andrey
AUTOMATICA, 2021, 129
[36] Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system
Carvalho, Alexandre N.
Langa, Jose A.
Robinson, James C.
Suarez, Antonio
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 236 (02) : 570 - 603
[37] Optimal control of coupled parabolic-hyperbolic non-autonomous PDEs: infinite-dimensional state-space approach
Aksikas, I.
Moghadam, A. Alizadeh
Forbes, J. F.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (05) : 897 - 907
[38] Input-to-state stability of networked control systems
Nesic, D
Teel, AR
AUTOMATICA, 2004, 40 (12) : 2121 - 2128
[39] EQUIVALENCE OF INPUT OUTPUT STABILITY AND EXPONENTIAL STABILITY FOR INFINITE-DIMENSIONAL SYSTEMS
CURTAIN, RF
MATHEMATICAL SYSTEMS THEORY, 1988, 21 (01): : 19 - 48
[40] Stability of Infinite-Dimensional Systems
I. G. Ismailov
Automation and Remote Control, 2002, 63 : 1565 - 1572

← 1 2 3 4 5 →