Dynamics with inequalities: impacts and hard constraints

This book addresses dynamics with inequalities comprehensively. The author develops the theory and application of dynamical systems that incorporate some kind of hard inequality constraint, such as mechanical systems with impact; electrical circuits with diodes (as diodes permit current flow in only...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Beteilige Person: Stewart, David (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 2011
Schriftenreihe:Other Titles in Applied Mathematics 123
Schlagwörter:
Links:https://doi.org/10.1137/1.9781611970715
https://doi.org/10.1137/1.9781611970715
https://doi.org/10.1137/1.9781611970715
https://doi.org/10.1137/1.9781611970715
https://doi.org/10.1137/1.9781611970715
Zusammenfassung:This book addresses dynamics with inequalities comprehensively. The author develops the theory and application of dynamical systems that incorporate some kind of hard inequality constraint, such as mechanical systems with impact; electrical circuits with diodes (as diodes permit current flow in only one direction); and social and economic systems that involve natural or imposed limits (such as traffic flow, which can never be negative, or inventory, which must be stored within a given facility). This book demonstrates that hard limits - eschewed in most dynamical models - are natural models for many dynamic phenomena, and there are ways of creating differential equations with hard constraints that provide accurate models of many physical, biological, and economic systems. The author discusses how finite- and infinite-dimensional problems are treated in a unified way so the theory is applicable to both ordinary differential equations and partial differential equations
Umfang:1 Online-Ressource (xiii, 389 Seiten)
ISBN:9781611970715
DOI:10.1137/1.9781611970715