Displaying similar documents to “Locally positive nonlinear systems”

Controllability of nonlinear discrete systems

Jerzy Klamka (2002)

International Journal of Applied Mathematics and Computer Science

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Local constrained controllability problems for nonlinear finite-dimensional discrete 1-D and 2-D control systems with constant coefficients are formulated and discussed. Using some mapping theorems taken from nonlinear functional analysis and linear approximation methods, sufficient conditions for constrained controllability in bounded domains are derived and proved. The paper extends the controllability conditions with unconstrained controls given in the literature to cover both 1-D...

Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks

Tadeusz Kaczorek (2015)

International Journal of Applied Mathematics and Computer Science

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The positivity and linearization of a class of nonlinear continuous-time system by nonlinear state feedbacks are addressed. Necessary and sufficient conditions for the positivity of the class of nonlinear systems are established. A method for linearization of nonlinear systems by nonlinear state feedbacks is presented. It is shown that by a suitable choice of the state feedback it is possible to obtain an asymptotically stable and controllable linear system, and if the closed-loop system...

Nonlinear transmission problems.

Wegert, Elias, Khimshiashvili, Georgi, Spitkovsky, Ilya (1997)

Memoirs on Differential Equations and Mathematical Physics

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Nonlinear observers for locally uniformly observable systems

Hassan Hammouri, M. Farza (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper deals with the observability analysis and the observer synthesis of a class of nonlinear systems. In the single output case, it is known [4-6] that systems which are observable independently of the inputs, admit an observable canonical form. These systems are called uniformly observable systems. Moreover, a high gain observer for these systems can be designed on the basis of this canonical form. In this paper, we extend the above results to multi-output uniformly observable systems....

How to compensate a spreading disturbance for a class of nonlinear systems

Youssef Qaraai, Abdes Samed Bernoussi, Abdelhaq El Jai (2008)

International Journal of Applied Mathematics and Computer Science

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We consider a system which is assumed to be affected by an expanding disturbance which occurs at the initial time. The compensation of the disturbance is accomplished by extending the concept of remediability to a class of nonlinear systems. The results are implemented and illustrated with a nonlinear distributed model.