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Identification of nonlinear systems with hard nonlinearity
2018 5th International Conference on Control, Decision and Information Technologies (CoDIT), 2018The problem of identifying nonlinear systems is proposed in the presence of hard nonlinearity. Presently, the nonlinear system is structured by Wiener-Hammerstein systems consist of a series connection including a nonlinear element sandwiched with two linear subsystems.
Adil Brouri +2 more
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On the Identification of Nonlinear Systems
IFAC Proceedings Volumes, 1982Abstract For the identification of systems in which the nonlinear element is in the feedback path, a new technique based on the Volterra characterisation of nonlinear system, is presented. The method is shown to have distinct computational advantages. Simulation studies using the proposed method are given.
N.C. Jagan, D.C. Reddy
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A nonlinear philosophy for nonlinear systems
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002A framework for system analysis and design is described based on nonlinear system models and nonperiodic signals generated by nonlinear systems. The proposed approach to analysis of nonlinear systems is based on an excitability index-a nonlinear counterpart of the magnitude frequency response of linear systems.
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Filtering by nonlinear systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2008Synchronization of nonlinear systems forced by external signals is formalized as the response of a nonlinear filter. Sufficient conditions for a nonlinear system to behave as a filter are given. Some examples of generalized chaos synchronization are shown to actually be special cases of nonlinear filtering.
Campos Cantón, E. +2 more
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Perturbations in Nonlinear Systems
SIAM Journal on Mathematical Analysis, 1972If a certain system of nonlinear differential equations has a bounded solution $x(t)$, then for the same system subject to a small perturbation the existence of a solution $y(t)$ which lies “close” to $x(t)$ is established.
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The Behavior of Nonlinear Systems
Journal of the Aeronautical Sciences, 1956Many of the phenomena that occur in the world around us are governed by nonlinear relationships. In the development of the mathematical sciences, the difficulties of nonlinear analysis have hindered the formulation of nonlinear concepts that would permit us to understand such phenomena. In the present article, our progress in understanding the behavior
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Journal of the Franklin Institute, 1989
Two nonlinear three-dimensional systems \((x(t),y(t),z(t))\), which exhibit chaotic characteristics are analyzed with the aid of computer graphics. The first system is represented by Lorenz model. The second system is represented by Chua's electric circuit model (double scroll system), which contains the nonlinear element.
Ku, Y. H., Sun, Xiaoguang
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Two nonlinear three-dimensional systems \((x(t),y(t),z(t))\), which exhibit chaotic characteristics are analyzed with the aid of computer graphics. The first system is represented by Lorenz model. The second system is represented by Chua's electric circuit model (double scroll system), which contains the nonlinear element.
Ku, Y. H., Sun, Xiaoguang
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Observability of Nonlinear Systems
IMA Journal of Mathematical Control and Information, 1984We consider the observability of systems of the form \(\dot x=Ax+Nx,y=Fx\), where A is a linear operator and N and F are nonlinear. We show that if the system is linearized about an equilibrium point \(x_ e\) and the linearized system is continuously initially observable, then the nonlinear system is continuously initially observable in some ...
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Discrete nonlinear systems: on the admissible nonlinear disturbances
Journal of the Franklin Institute, 2001Consider the linear nominal discrete system \[ x_{i+1}= Ax_i,\quad y_i= Cx_i,\quad x_0\in \mathbb{R}^n\tag{1} \] and a perturbed form \[ x^\xi_{i+1}= Ax^\varepsilon_i+ Be_i+ g(\beta_i) f(x^\xi_i),\;x^\xi_0= x_0+ w,\;y^\xi_i= Cx^\xi_i,\tag{2} \] where \(e_i\), \(\beta_i\), \(w\) are some disturbance parameters. The disturbance \((w,(e_i),(\beta_i))\) is
Mostafa Rachik +3 more
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Identification of nonlinear LFR systems with two nonlinearities
2013 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), 2013When identifying a system (e.g. mechanical, electrical or chemical) based on inand output measurements and without physical knowledge, an engineer faces many choices. First of all, there exist standard linear models, but when those do not sufficiently well describe the data, nonlinear models should be considered.
Van Mulders, Anne, Vanbeylen, Laurent
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