Results 311 to 320 of about 25,187,934 (365)

SOLUTION OF NONLINEAR SYSTEMS

Annals of the New York Academy of Sciences, 1960
The problem of solving systems of nonlinear equations has been relatively neglected in the mathematical literature, especially in the textbooks, in comparison to the corresponding linear problem. Moreover, treatments that have an appearance of generality fail to discuss the nature of the solutions and the possible pitfalls of the methods suggested ...
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Nonlinear Wave Interactions in Nonlinear Nonintegrable Systems

Studies in Applied Mathematics, 1998
The main goal of this article is to understand the qualitative appearances of regular arrays of pulses that come up in nonintegrable systems in a variety of contexts, particularly in fluid dynamics. It is shown that even nonintegrable systems have a kind of particle dynamics made up of solitary waves.
Berloff, Natalia G., Howard, Louis N.
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Finite-Time Adaptive Fuzzy Tracking Control Design for Nonlinear Systems

IEEE transactions on fuzzy systems, 2018
This paper addresses the finite-time tracking problem of nonlinear pure-feedback systems. Unlike the literature on traditional finite-time stabilization, in this paper the nonlinear system functions, including the bounding functions, are all totally ...
Fang Wang, Bing Chen, Xiaoping Liu, Chong Lin   +3 more
semanticscholar   +1 more source

Expansions for Nonlinear Systems*

Bell System Technical Journal, 1982
In this paper we study operator-type models of dynamic nonlinear physical systems, such as communication channels and control systems. Attention is focused on the problem of determining conditions under which there exists a power-series-like expansion, or a polynomial-type approximation, for a system's outputs in terms of its inputs.
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Identification of nonlinear LFR systems with two nonlinearities

2013 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), 2013
When 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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Adaptive Fuzzy Control With High-Order Barrier Lyapunov Functions for High-Order Uncertain Nonlinear Systems With Full-State Constraints

IEEE Transactions on Cybernetics, 2020
This paper focuses on the practical output tracking control for a category of high-order uncertain nonlinear systems with full-state constraints. A high-order tan-type barrier Lyapunov function (BLF) is constructed to handle the full-state constraints of
Wei Sun, S. Su, Yuqiang Wu, Jianwei Xia, Van‐Truong Nguyen   +4 more
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Finite-Time Fuzzy Control of Stochastic Nonlinear Systems

IEEE Transactions on Cybernetics, 2020
This paper studies the finite-time stabilization of a class of stochastic nonlinear systems. Different from functions which are necessarily known in the conventional finite-time control of nonlinear systems, the nonlinear functions can be completely ...
F. Wang, Bing Chen, Yumei Sun, Yanling Gao, Chong Lin   +4 more
semanticscholar   +1 more source

Discrete nonlinear systems: on the admissible nonlinear disturbances

Journal of the Franklin Institute, 2001
Consider 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
Rachik, M., Lhous, M., Tridane, A., Abdelhak, A.   +3 more
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The Behavior of Nonlinear Systems

Journal of the Aeronautical Sciences, 1956
Many 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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Equivalent nonlinearization of nonlinear systems to random excitations

Probabilistic Engineering Mechanics, 1991
The broadest class of solvable reduced Fokker-Planck equation is given and a new equivalent nonlinear method is presented to obtain an approximate probability density function for the response of a nonlinear oscillator to Gaussian white noise excitations. The method is based on the least meansquare criterion and Euler equation.
C. W. S. To, D. M. Li
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