Construction of Lyapunov functionals for coupled differential and continuous time difference equations

A new stability analysis technique for systems composed of a differential equation coupled with a continuous time difference equation is proposed. It is based on the explicit construction of Lyapunov functionals from the knowledge of Lyapunov functions for subsystems. Robustness results of iISS type...

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Bibliographic Details
Published in:52nd IEEE Conference on Decision and Control pp. 2245 - 2250
Main Authors: Mazenc, Frederic, Ito, Hiroshi, Pepe, Pierdomenico
Format: Conference Proceeding
Language:English
Japanese
Published: IEEE 01.12.2013
Subjects:
delay
Delays
difference equation
Difference equations
Differential equations
Lyapunov functional
Lyapunov methods
stability
Stability criteria
Trajectory
ISBN:1467357146, 9781467357142
ISSN:0191-2216
Online Access:Get full text
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Summary:A new stability analysis technique for systems composed of a differential equation coupled with a continuous time difference equation is proposed. It is based on the explicit construction of Lyapunov functionals from the knowledge of Lyapunov functions for subsystems. Robustness results of iISS type are inferred from these functionals.
ISBN:1467357146
9781467357142
ISSN:0191-2216
DOI:10.1109/CDC.2013.6760215