Results 261 to 270 of about 18,411,452 (302)
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On System Gains, Nonlinearity Measures, and Linear Models for Nonlinear Systems
IEEE Transactions on Automatic Control, 2009This article is concerned with the assessment and derivation of (best) linear models for nonlinear systems. We introduce a general framework reminiscent of uncertainty descriptions in linear robust control theory in order to define a family of six model quality indices for linear models of nonlinear systems.
Tobias Schweickhardt, Frank Allgöwer
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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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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 controllers for nonlinear systems with input nonlinearities
Proceedings of the 36th IEEE Conference on Decision and Control, 1999The 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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The nonlinear-by-singularity systems
2008 15th IEEE International Conference on Electronics, Circuits and Systems, 2008The present work focuses on singularities, in terms of time functions, which are met in description of switching or sampling electronics systems, and on understanding of some basic nonlinear physical systems. The state-form dx/dt = [A(x,t)]x + [B(x,t)]u(t), and not the normal-form dx/dt = Phi(x,u,t), is preferred for use.
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Nonlinear observer design for Lipschitz nonlinear systems
Proceedings of the 2011 American Control Conference, 2011This paper presents a nonlinear observer design methodology for a class of Lipschitz nonlinear systems via convex optimization. A sufficient condition for the existence of an observer gain matrix to stabilize the estimation error dynamics is given in term of a quadratic stability margin.
Bongsob Song, J. Karl Hedrick
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Nonlinear Wave Interactions in Nonlinear Nonintegrable Systems
Studies in Applied Mathematics, 1998The 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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Expansions for Nonlinear Systems*
Bell System Technical Journal, 1982In 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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Nonlinear learning control for a class of nonlinear systems
Automatica, 2001A nonlinear learning control scheme for asymptotic stabilization of a class of cascaded nonlinear systems is proposed. The direct Lyapunov method is one of the essential steps in the method. An illustrative example is provided.
Ham, C., Qu, Z., Kaloust, J.
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Equivalent nonlinearization of nonlinear systems to random excitations
Probabilistic Engineering Mechanics, 1991The 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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Linearization of Nonlinear Dynamic Systems
IEEE Transactions on Instrumentation and Measurement, 2004In this paper we propose a method to linearize a nonlinear dynamic system: the nonlinear distortions are reduced, and the linear dynamics are corrected to a flat amplitude and linear phase in a user defined frequency band.
Johan Schoukens +4 more
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