Results 201 to 210 of about 159,573 (229)

Two flat normal forms for a class of nonlinear dynamical systems

2010 11th International Conference on Control Automation Robotics & Vision, 2010
In this paper we presents two new 0-flat normal forms. It deals with sufficient geometrical conditions which enable us to conclude if a given nonlinear controllable dynamical system can be transformed, by means of change of coordinates, to one of these normal forms. In the same way it gives an algorithm to compute the flat outputs.
Soraya Bououden, Driss Boutat, Foudil Abdessemed   +2 more
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A perturbation method for computing the simplest normal forms of dynamical systems

Journal of Sound and Vibration, 2003
Abstract A previously developed perturbation method is generalized for computing the simplest normal form (at each level of computation, the minimum number of terms are retained) of general n -dimensional differential equations. This “direct” approach, combining the normal form theory with center manifold theory in one unified procedure, can be used
P. Yu, A.Y.T. Leung
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Anticontrol of chaos for dynamic systems in p-normal form: A homogeneity-based approach

Chaos, Solitons & Fractals, 2005
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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mikram, Jilali, Zinoun, Fouad
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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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Observer design for continuous-time dynamical systems

Annual Reviews in Control, 2022
Pauline Bernard, Vincent Andrieu, Daniele Astolfi   +2 more
exaly