A Characterization of Integral ISS for Switched and Time-Varying Systems

Authors
Haimovich, Hernan; Mancilla Aguilar, Jose Luis
Publication Year
2017
Language
English
Format
article
Status
Published version
Description
Most of the existing characterizations of the integral input-to-state stability (iISS) property are not valid for time-varying or switched systems in cases where converse Lyapunov theorems for stability are not available. This paper provides a characterization that is valid for switched and time-varying systems, and shows that natural extensions of some of the existing characterizations result in only sufficient but not necessary conditions. The results provided also pinpoint suitable iISS gains and relate these to supply functions and bounds on the function defining the system dynamics.
Fil: Haimovich, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina
Fil: Mancilla Aguilar, Jose Luis. Instituto Tecnológico de Buenos Aires; Argentina
Subject
CONVERSE THEOREMS
DISSIPATIVITY
INPUT-TO-STATE STABILITY (ISS)
NONLINEAR SYSTEMS
PERSISTENCE OF EXCITATION
SWITCHED SYSTEMS
TIME-VARYING SYSTEMS
Ingeniería de Sistemas y Comunicaciones
Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
INGENIERÍAS Y TECNOLOGÍAS
Matemática Pura
Matemáticas
CIENCIAS NATURALES Y EXACTAS
Access level
Restricted access
License
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repository
CONICET Digital (CONICET)
Institution
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identifier
oai:ri.conicet.gov.ar:11336/65263