scholarly journals Stability and Asymptotic Behaviour of Nonlinear Systems: An Introduction

2007 ◽  
pp. 195-219
Author(s):  
Hartmut Logemann ◽  
Eugene P. Ryan
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Behaviour

scholarly journals Asymptotic Behaviour of Nonlinear Systems

2004 ◽  
Vol 111 (10) ◽  
pp. 864 ◽  
Author(s):  
Hartmut Logemann ◽  
Eugene P. Ryan
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Behaviour

On the asymptotic behaviour of nonlinear systems of ordinary differential equations

1985 ◽  
Vol 26 (2) ◽  
pp. 161-170
Author(s):  
Zhivko S. Athanassov
Keyword(s):  
Nonlinear Systems ◽  
Differential Equations ◽  
Asymptotic Behaviour ◽  
Ordinary Differential Equations ◽  
Asymptotically Stable ◽  
Future Time ◽  
Zero Function ◽  
Perturbed Systems ◽  
Approach Zero ◽  
Image Position

In this paper we study the asymptotic behaviour of the following systems of ordinary differential equations:where the identically zero function is a solution of (N) i.e. f(t, 0)=0 for all time t. Suppose one knows that all the solutions of (N) which start near zero remain near zero for all future time or even that they approach zero as time increases. For the perturbed systems (P) and (P1) the above property concerning the solutions near zero may or may not remain true. A more precise formulation of this problem is as follows: if zero is stable or asymptotically stable for (N), and if the functions g(t, x) and h(t, x) are small in some sense, give conditions on f(t, x) so that zero is (eventually) stable or asymptotically stable for (P) and (P1).

scholarly journals Asymptotic Behaviour of Nonlinear Systems

2004 ◽  
Vol 111 (10) ◽  
pp. 864-889 ◽  
Author(s):  
Hartmut Logemann ◽  
Eugene P. Ryan
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Behaviour

Identification of Continuous-time Nonlinear Systems via Local Gaussian Process Models

2014 ◽  
Vol 134 (11) ◽  
pp. 1708-1715
Author(s):  
Tomohiro Hachino ◽  
Kazuhiro Matsushita ◽  
Hitoshi Takata ◽  
Seiji Fukushima ◽  
Yasutaka Igarashi
Keyword(s):  
Nonlinear Systems ◽  
Gaussian Process ◽  
Continuous Time ◽  
Process Models ◽  
Gaussian Process Models

Modeling of Nonlinear Systems using Genetic Algorithm

2012 ◽  
Vol 132 (6) ◽  
pp. 913-918 ◽  
Author(s):  
Kayoko Hayashi ◽  
Toru Yamamoto ◽  
Kazuo Kawada
Keyword(s):  
Genetic Algorithm ◽  
Nonlinear Systems
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