Asymptotic Behaviour of Nonlinear Systems

Asymptotic Behaviour of Nonlinear Systems

Qualitative results on the long-term behavior of dynamical processes are of great importance in the applications of differential equations, dynamical systems, and control theory to science and engineering. Here, Logemann and Ryan attempt to provide a self-contained, elementary, and unified approach...

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Veröffentlicht in:The American mathematical monthly 2004-12, Vol.111 (10), p.864-889
Hauptverfasser: Logemann, Hartmut, Ryan, Eugene P.
Format: Artikel
Sprache:eng
Schlagworte:
Continuous functions
Control theory
Differential equations
Differentials
Dynamical systems
Engineering
Integrable functions
Mathematical functions
Mathematical intervals
Mathematical theorems
Mathematics
Motion control
Nonlinear systems
Ordinary differential equations
Systems stability
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Beschreibung
Zusammenfassung:Qualitative results on the long-term behavior of dynamical processes are of great importance in the applications of differential equations, dynamical systems, and control theory to science and engineering. Here, Logemann and Ryan attempt to provide a self-contained, elementary, and unified approach to the analysis of certain aspects of the asymptotic behavior of solutions of ordinary differential equations and differential inclusions.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.2004.11920152