Results 81 to 90 of about 10,399 (114)

Observer normal forms for a class of nonlinear systems by means of coupled auxiliary dynamics

International Journal of Robust and Nonlinear Control, 2020
SummaryThis work aims at developing a class of nonlinear dynamical systems that can be converted into nonlinear observer normal forms, which support the well‐known high gain observer. This will be performed by means of the so‐called dynamics extension method, which explicitly supplies a set of auxiliary dynamics and changes of coordinates. In this work,
Wang, Li‐fei, Boutat, Driss, Liu, Da-Yan   +2 more
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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, Hong, Yiguang, Qin, Huashu, Chen, Guanrong   +3 more
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Normal form methods for symbolic creation of approximate solutions of nonlinear dynamical systems

Mathematics and Computers in Simulation, 2001
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Mikram, Jilali, Zinoun, Fouad
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Adjoint operator method and normal forms of higher order for nonlinear dynamical system

Applied Mathematics and Mechanics, 1997
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Zhang, Wei, Chen, Yushu
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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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The Application of Improved Recursive Formula for Computing Normal Forms of Four-Dimensional Nilpotent Dynamical Systems

Applied Mechanics and Materials, 2013
In this paper, an explicit recursive formula of normal forms under nonlinear near-identity transformations is introduced. By solving a series of algebra equations with the aid of Maple, not only the coefficients of k order normal form and the associated nonlinear transformations but also high (>k) order terms of the original equations can be ...
Lei Guo, Qun Hong Li, Zi Gen Song
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Extended nonlinear observer normal forms for a class of nonlinear dynamical systems

International Journal of Robust and Nonlinear Control, 2013
SummaryTransforming a dynamical system by adding auxiliary dynamics is one of the most recent tools to design an observer. Dynamical systems that have the properties of admitting such transformation have been widely studied. Indeed, in the existing literature, several different types of geometrical and analytical characterizations of such dynamical ...
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Normal Forms and Unfoldings for Local Dynamical Systems

2003
Preface.- 1. Two Examples.- 2. The splitting problem for linear operators.- 3. Linear Normal Forms.- 4. Nonlinear Normal Forms.- 5. Geometrical Structures in Normal Forms.- 6. Selected Topics in Local Bifurcation Theory.- Appendix A: Rings.- Appendix B: Modules.- Appendix C: Format 2b: Generated Recursive (Hori).- Appendix D: Format 2c: Generated ...
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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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Metabolomics in cancer research and emerging applications in clinical oncology

Ca-A Cancer Journal for Clinicians, 2021
Daniel R Schmidt, David G Kirsch, Caroline A Lewis   +2 more
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