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On constrained dynamics and a pseudo-normal form for nonlinear systems

Proceedings of 1994 33rd IEEE Conference on Decision and Control, 2002
A nonlinear system in pseudo-normal form has the property that its family of linearizations about constant operating points specifies a family of linear systems in normal form. The purpose of this paper is to show that under certain assumptions a pseudo-normal form can be defined that has the following properties in common with the exact normal form: a
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Anticontrol of chaos for dynamic systems in p-normal form: A homogeneity-based approach

Chaos, Solitons & Fractals, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Ruoting   +3 more
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Normal form solutions of dynamical systems in the basin of attraction of their fixed points

Physica D: Nonlinear Phenomena, 1988
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Bountis, Tassos   +2 more
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Normal Forms for Degenerate Dynamical Systems with Applications to Lie Groups

This study establishes canonical local and tubular normal form theorems for degenerate dynamical systems (DDS), whose degeneracy is governed by a stratifying map. DDS occur when the geometric structure governing their evolution loses rank along subsets of phase space.
Victor Ayala, Jorge Zanelli
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Rational normal form for dynamical systems by Carleman linearization

Proceedings of the 1999 international symposium on Symbolic and algebraic computation, 1999
Guoting Chen, Jean Della Dora
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Normal forms, bifurcations and limit dynamics in adaptive control systems

2003
Adaptive controllers are used in systems where one or more parameters are unknown. Such controllers are designed to stabilize the system using an estimate for the unknown parameters that is adapted automatically as part of the stabilization. One drawback in adaptive control design is the possibility that the closed-loop limit system is not stable.
Lamooki, Rez, Rokni   +2 more
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Adjoint Operator Method and Normal Forms of Higher Order for Nonlinear Dynamical System

Applied Mathematics and Mechanics (English Edition), 1997
Yushu Chen
exaly  

The Problem of Metrizability of Dynamical Systems That Admit Normal Shift

Theoretical and Mathematical Physics(Russian Federation), 1994
R A Sharipov
exaly  

Extended Nonlinear Observer Normal Forms for a Class of Nonlinear Dynamical Systems

International Journal of Robust and Nonlinear Control, 2015
Driss Boutat
exaly  

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