Well-posedness of reset control systems as state-dependent impulsive dynamical systems
type: Item
instance of: scholarly article
title: Well-posedness of reset control systems as state-dependent impulsive dynamical systems
zbMATH Open document ID: 1253.93091
DOI: 10.1155/2012/808290
author: Juan I. Mulero
author: Alfonso Baños
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: Reset control systems are a special type of state-dependent impulsive dynamic systems, in which the time evolution depends both on continuous dynamics between resets and the discrete dynamics corresponding to the resetting times. This work is devoted to investigate well-posedness of reset control systems, taking as starting point the classical definition of Clegg and Horowitz. Well-posedness is related to the existence and uniqueness of solutions, and in particular to the resetting times to be well defined and distinct. A sufficient condition is developed for a reset system to have well-posed resetting times, which is also a sufficient condition for avoiding Zeno solutions and, thus, for a reset control system to be well-posed.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93D09
zbMATH DE Number: 6116452
zbMATH Keywords: state-dependent impulsive dynamic systems
Wikidata QID: Q58696843
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/808290
OpenAlex ID: W2129392180
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description: scientific article; zbMATH DE number 6116452