Reachability and observability of linear systems over max-plus

Michael J. Gazarik; Edward W. Kamen

Displaying similar documents to “Reachability and observability of linear systems over max-plus”

Geometrical characterization of observability in Interpreted Petri Nets

Israel Rivera-Rangel, Antonio Ramírez-Treviño, Luis I. Aguirre-Salas, Javier Ruiz (2005)

Kybernetika

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This work is concerned with observability in Discrete Event Systems (DES) modeled by Interpreted Petri Nets (IPN). Three major contributions are presented. First, a novel geometric characterization of observability based on input-output equivalence relations on the marking sequences sets is presented. Later, to show that this characterization is well posed, it is applied to linear continuous systems, leading to classical characterizations of observability for continuous systems. Finally,...

A note on weakly $θ$ -continuous functions.

Mršević, M., Reilly, I.L. (1989)

International Journal of Mathematics and Mathematical Sciences

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On weakly closed functions

N. Ergun, T. Noiri (1990)

Matematički Vesnik

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On the approximate solutions of linear equations in the $l_{2}$ -space

Rabindranath Sen (1965)

Rendiconti del Seminario Matematico della Università di Padova

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Suboptimal regulation of a class of bilinear interconnected systems with finite-time sliding planning horizons.

de la Sen, M., Garrido, Aitor J., Soto, J.C., Barambones, O., Garrido, I. (2008)

Mathematical Problems in Engineering

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Behavioral systems theory: A survey

Eva Zerz (2008)

International Journal of Applied Mathematics and Computer Science

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We survey the so-called behavioral approach to systems and control theory, which was founded by J. C. Willems and his school. The central idea of behavioral systems theory is to put the focus on the set of trajectories of a dynamical system rather than on a specific set of equations modelling the underlying phenomenon. Moreover, all signal components are treated on an equal footing at first, and their partition into inputs and outputs is derived from the system law, in a way that admits...

Continuous-time input-output decoupling for sampled-data systems

Osvaldo Maria Grasselli, Laura Menini (1999)

Kybernetika

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The problem of obtaining a continuous-time (i. e., ripple-free) input-output decoupled control system for a continuous-time linear time-invariant plant, by means of a purely discrete-time compensator, is stated and solved in the case of a unity feedback control system. Such a control system is hybrid, since the plant is continuous-time and the compensator is discrete-time. A necessary and sufficient condition for the existence of a solution of such a problem is given, which reduces the...

A note on weakly $(μ, λ)$ -closed functions

Bishwambhar Roy (2013)

Mathematica Bohemica

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In this paper we introduce a new class of functions called weakly $(μ, λ)$ -closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly $(μ, λ)$ -closed functions enable us to facilitate the formulation...