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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Tadeusz Kaczorek, Przemysław Przyborowski (2009)
Control and Cybernetics
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Tadeusz Kaczorek (2010)
International Journal of Applied Mathematics and Computer Science
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The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one,...
Dorota Mozyrska, Zbigniew Bartosiewicz (2006)
Control and Cybernetics
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Przemysław Przyborowski, Tadeusz Kaczorek (2009)
International Journal of Applied Mathematics and Computer Science
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Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.
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...
Eugenio Mijangos Fernández, Narcís Nabona Francisco (1999)
Qüestiió
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The minimization of a nonlinear function subject to linear and nonlinear equality constraints and simple bounds can be performed through minimizing a partial augmented Lagrangian function subject only to linear constraints and simple bounds by variable reduction techniques. The first-order procedure for estimating the multiplier of the nonlinear equality constraints through the Kuhn-Tucker conditions is analyzed and compared to that of Hestenes-Powell. There is a method which identifies...