Robustness of stability regions of nonlinear circuits and systems under parameter variation

Author

Amaral, Fabíolo M. ; Alberto, Luís F C

Author_Institution

Sao Carlos Eng. Sch., Univ. of Sao Paulo, São Carlos, Brazil

fYear

2010

fDate

May 30 2010-June 2 2010

Firstpage

525

Lastpage

528

Abstract

The behavior of stability regions of nonlinear dynamical systems subjected to parameter variation is studied in this paper. Sufficient conditions to guarantee the persistence of the stability boundary characterization under parameter variation are presented. When these conditions are violated, the stability region may undergo a bifurcation and may suffer drastic changes. In this paper, the behavior of stability region and stability boundary when the system undergoes a type-zero saddle-node bifurcation on the stability boundary is investigated. A complete characterization of these changes in the neighborhood of a type-zero saddle-node bifurcation point on the stability boundary is developed. These results are applied to the analysis of stability region of a simple Hopfield artificial neural network.

Keywords

Hopfield neural nets; bifurcation; Hopfield artificial neural network; nonlinear circuits; nonlinear dynamical systems; nonlinear systems; parameter variation; stability boundary characterization; stability regions; type-zero saddle-node bifurcation point; Artificial neural networks; Bifurcation; Circuit stability; Eigenvalues and eigenfunctions; Nonlinear circuits; Nonlinear dynamical systems; Power system stability; Robust stability; Stability analysis; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems (ISCAS), Proceedings of 2010 IEEE International Symposium on

Conference_Location

Paris

Print_ISBN

978-1-4244-5308-5

Electronic_ISBN

978-1-4244-5309-2

Type

conf

DOI

10.1109/ISCAS.2010.5537569

Filename

5537569