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Nonlinear Systems

Student Solution Manual for Differential Equations: Techniques, Theory, and Applications, 1996
Guanrong Chen
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Two‐stage auxiliary model gradient‐based iterative algorithm for the input nonlinear controlled autoregressive system with variable‐gain nonlinearity

International Journal of Robust and Nonlinear Control, 2020
This article focuses on the parameter estimation problem of the input nonlinear system where an input variable‐gain nonlinear block is followed by a linear controlled autoregressive subsystem.
Yamin Fan, Ximei Liu
semanticscholar   +1 more source

On the Identification of Nonlinear Systems

IFAC Proceedings Volumes, 1982
Abstract 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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Modeling nonlinear systems using the tensor network B‐spline and the multi‐innovation identification theory

International Journal of Robust and Nonlinear Control, 2022
The nonlinear autoregressive exogenous (NARX) model shows a strong expression capacity for nonlinear systems since these systems have limited information about their structures.
Yanjiao Wang, Shihua Tang, M. Deng
semanticscholar   +1 more source

Filtering by nonlinear systems

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2008
Synchronization 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, 1972
If 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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On nonlinear systems—chaos

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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Adaptive Fixed-Time Control for MIMO Nonlinear Systems With Asymmetric Output Constraints Using Universal Barrier Functions

IEEE Transactions on Automatic Control, 2019
In this note, we propose a novel adaptive fixed-time control scheme for output tracking problems of a class of multi-input multi-output (MIMO) nonlinear systems with asymmetric output constraint requirements, using a new universal barrier function. It is
Xu Jin
semanticscholar   +1 more source

Observability of Nonlinear Systems

IMA Journal of Mathematical Control and Information, 1984
We 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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Nonlinear controllers for nonlinear systems with input nonlinearities

Proceedings of the 36th IEEE Conference on Decision and Control, 1999
The authors consider control systems of the type \[ \dot x= f(x,\sigma(u)),\quad x(0)= x_0,\quad t\geq 0, \] where \(\sigma\) denotes an input nonlinearity -- in many cases saturation -- and present a methodology for designing globally stabilizing nonlinear controllers.
Haddad, Wassim M.   +2 more
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