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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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IEEE Transactions on Automatic Control, 1976
A dither is a high-frequency signal introduced into a nonlinear system with the object of augmenting stability. In this paper,[1] it is shown that the effects of dither depend on its amplitude distribution function. The stability of a dithered system is related to that of an equivalent smoothed system, whose nonlinear element is the convolution of the ...
George Zames, N. Shneydor
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A dither is a high-frequency signal introduced into a nonlinear system with the object of augmenting stability. In this paper,[1] it is shown that the effects of dither depend on its amplitude distribution function. The stability of a dithered system is related to that of an equivalent smoothed system, whose nonlinear element is the convolution of the ...
George Zames, N. Shneydor
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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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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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Multidimensional nonlinear systems
Theoretical and Mathematical Physics, 1986The problem of the construction and of the integrability of systems of nonlinear partial differential equations in a multidimensional space is discussed. A proposed algebraic-geometric construction is illustrated for the example of completely integrable equations of the Bourlet type and their generalizations, for which, in particular, Bäcklund ...
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Control of Nonlinear Systems [PDF]
, 1993 Abstract : This research by the PI and his graduate students was on: (1) State- Space and I/O systems, (2) Systems with Saturated Control, (3) Discrete-Time Control, (4), Identification of Nonlinear systems and (5) I/O Equations. Twelve papers were published under this grant.
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Decoupling of nonlinear systems
Systems & Control Letters, 1982The decoupling of nonlinear systems by feedback is studied and the local or global aspect of obtained solutions is specified. The feedback laws are systematically calculated and our procedure is illustrated by practical examples.
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Nonlinear system identification using fractional Hammerstein–Wiener models
Nonlinear dynamics, 2019Karima Hammar, T. Djamah, M. Bettayeb
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Nonlinear Dynamic System Identification
Nonlinear System Identification, 2020O. Nelles
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