Result: Stabilization of nonlinear systems over packet-drop links: Scalar case
Title:
Stabilization of nonlinear systems over packet-drop links: Scalar case
Authors:
Source:
Systems & control letters. 61(9):959-966
Publisher Information:
Amsterdam: Elsevier, 2012.
Publication Year:
2012
Physical Description:
print, 31 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Logiciel, Software, Systèmes informatiques et systèmes répartis. Interface utilisateur, Computer systems and distributed systems. User interface, Automatique théorique. Systèmes, Control theory. Systems, Théorie des systèmes, System theory, Analyse des systèmes de commande, Control system analysis, Synthèse des systèmes de commande, Control system synthesis, Approche probabiliste, Probabilistic approach, Enfoque probabilista, Boucle ouverte, Open loop, Bucle abierto, Canal transmission avec perte, Lossy channel, Canal con perdida, Commande non linéaire, Non linear control, Control no lineal, Commutation paquet, Packet switching, Conmutación por paquete, Dépendance du temps, Time dependence, Dependencia del tiempo, Effacement, Erasure, Borradura, Equilibre dynamique, Dynamic equilibrium, Equilibrio dinámico, Exposant Lyapunov, Lyapunov exponent, Exponente Lyapunov, Perte transmission, Transmission loss, Pérdida transmisión, Qualité service, Service quality, Calidad servicio, Régime hors équilibre, Non equilibrium conditions, Régimen fuera equilibrio, Stabilisation, Stabilization, Estabilización, Stabilité exponentielle, Exponential stability, Estabilidad exponencial, Système dynamique, Dynamical system, Sistema dinámico, Système non linéaire, Non linear system, Sistema no lineal, Théorie ergodique, Ergodic theory, Teoría ergódica, Théorie système, Systems theory, Teoría sistema, Nonlinear stabilization, Packet-drop links
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Electrical and Computer Engineering, Iowa State University, Ames, IA, 50011, United States
ISSN:
0167-6911
Rights:
Copyright 2014 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.26308889
Database:
PASCAL Archive
Further Information
In this paper, we study the stabilization problem of a scalar nonlinear system over a packet-drop channel. We consider moment stability notions adopted from the ergodic theory of dynamical systems. The main result of this paper proves that q-moment exponential stability requires a minimal quality of service from the communications link. The necessary conditions presented in the paper relate the positive Lyapunov exponent of the open loop system and the largest probability of erasure. For the first time, the dependence on the Lyapunov exponent highlights the important role played by the global non-equilibrium dynamics in nonlinear stabilization over networks.