A NEW EQUILIBRIUM EQUIVALENCE CONCEPT AND ITS APPLICATIONS TO ROBUSTNESS ANALYSIS OF NONLINEAR-SYSTEMS Conference Paper

abstract

• This paper proposes and investigates a new equilibrium equivalence concept, which is more general than the conventional topological equivalence concept but offers easier analysis and better engineering insights for nonlinear system design. We prove an equilibrium Equivalence Theorem which guarantees the robustness of the system dynamics under structured perturbations with certain fairly general assumptions. Concepts of Equilibrium Equivalence and Equilibrium Equivalence Structural Stability are developed and applied to studies of bifurcations of vector fields on noncompact manifolds. Constructive approach to Equilibrium Equivalence Structural Stability verification is emphasized. Some applications to nonlinear stability analysis are demonstrated.

name of conference

• Proceedings of 32nd IEEE Conference on Decision and Control

authors

• Huang, Garng

published proceedings

• PROCEEDINGS OF THE 32ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4

author list (cited authors)

• LUXEMBURG, L. A., & HUANG, G. M.

citation count

• 0

complete list of authors

• LUXEMBURG, LA||HUANG, GM

publication date

• January 1993

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Conference on Decision and Control  Journal

keywords

• 40 Engineering
• 4007 Control Engineering, Mechatronics And Robotics

Digital Object Identifier (DOI)

• 10.1109/CDC.1993.325437

International Standard Book Number (ISBN) 10

• 0-7803-1298-8

start page

• 1494

end page

• 1500

volume

• 2

URL

• http://dx.doi.org/10.1109/cdc.1993.325437