Analysis of Singular Perturbations for a ...
Document type :
Communication dans un congrès avec actes
Title :
Analysis of Singular Perturbations for a Class of Interconnected Homogeneous Systems: Input-to-State Stability Approach
Author(s) :
Mendoza-Avila, Jesús [Auteur]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Moreno, Jaime [Auteur]
Fridman, Leonid [Auteur]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Moreno, Jaime [Auteur]
Fridman, Leonid [Auteur]
Conference title :
IFAC 2020 - 21rst IFAC World Congress
City :
Berlin
Country :
Allemagne
Start date of the conference :
2020-07-13
English keyword(s) :
Stability of Nonlinear Systems
Singular Perturbations
Input-to-State Stability
Homogeneity
Lyapunov Methods
Singular Perturbations
Input-to-State Stability
Homogeneity
Lyapunov Methods
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
In this work an interconnection of two singularly perturbed homogeneous systems of different degrees is considered. Under relaxed restrictions on the smoothness of the right-hand sides of the system, and some standard ...
Show more >In this work an interconnection of two singularly perturbed homogeneous systems of different degrees is considered. Under relaxed restrictions on the smoothness of the right-hand sides of the system, and some standard assumptions, the conditions of local or practical asymptotic stability of the interconnection are established by means of ISS properties and the Small-Gain Theorem. Moreover, the domains of stability and attractions are estimated. Finally, the results are illustrated through an example with a homogeneous system of negative degree.Show less >
Show more >In this work an interconnection of two singularly perturbed homogeneous systems of different degrees is considered. Under relaxed restrictions on the smoothness of the right-hand sides of the system, and some standard assumptions, the conditions of local or practical asymptotic stability of the interconnection are established by means of ISS properties and the Small-Gain Theorem. Moreover, the domains of stability and attractions are estimated. Finally, the results are illustrated through an example with a homogeneous system of negative degree.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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