Controllable two dimensional neutral systems
Marc Jacobs, C. Langenhop (1976)
Banach Center Publications
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Marc Jacobs, C. Langenhop (1976)
Banach Center Publications
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Alexey Zhirabok, Alexey Shumsky (2012)
International Journal of Applied Mathematics and Computer Science
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The paper is devoted to the problem of observability and controllability analysis in nonlinear dynamic systems. Both continuous- and discrete-time systems described by nonlinear differential or difference equations, respectively, are considered. A new approach is developed to solve this problem whose features include (i) consideration of systems with non-differentiable nonlinearities and (ii) the use of relatively simple linear methods which may be supported by existing programming systems,...
Tadeusz Kaczorek, Przemysław Przyborowski (2009)
Control and Cybernetics
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Cabral, Isabel, Silva, Fernando C. (1995)
Portugaliae Mathematica
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Jerzy Stefan Respondek (2008)
International Journal of Applied Mathematics and Computer Science
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The objective of the article is to obtain general conditions for several types of controllability at once for an abstract differential equation of arbitrary order, instead of conditions for a fixed order equation. This innovative approach was possible owing to analyzing the n-th order linear system in the Frobenius form which generates a Jordan transition matrix of the Vandermonde form. We extensively used the fact that the knowledge of the inverse of a Jordan transition matrix enables...
Jean-Michel Prou, Edouard Wagneur (1999)
Kybernetika
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We are interested here in the reachability and controllability problems for DEDS in the max-algebra. Contrary to the situation in linear systems theory, where controllability (resp observability) refers to a (linear) subspace, these properties are essentially discrete in the -linear dynamic system. We show that these problems, which consist in solving a -linear equation lead to an eigenvector problem in the -algebra. More precisely, we show that, given a -linear system, then, for...
Ventsi Rumchev, Jaime Adeane (2004)
Control and Cybernetics
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