Exact determinantions of maximal output admissible set for a class of semilinear discrete systems

• Autorzy: El Bhih Amine , Benfatah Youssef , Rachik Mostafa

Identyfikatory

DOI

10.24425/acs.2020.134676

• Języki publikacji: EN

Abstrakty

EN

Consider the semilinear system defined by {x(i+1)=Ax(i)+f(x(i)), i≥0 x(0)=x₀∈Rⁿ and the corresponding output signal y(i)=C x(i), i≥0, where A is a n×n matrix, C is a p x n matrix and f is a nonlinear function. An initial state x(0) is output admissible with respect to A, f, C and a constraint set Ω ⊂ R^p, if the output signal (y(i)_i associated to our system satisfies the condition y(i) ∈ Ω, for every integer i≥0. The set of all possible such initial conditions is the maximal output admissible set Γ(Ω). In this paper we will define a new set that characterizes the maximal output set in various systems(controlled and uncontrolled systems) .Therefore, we propose an algorithmic approach that permits to verify if such set is finitely determined or not. The case of discrete delayed systems is taken into consideration as well. To illustrate our work, we give various numerical simulations.

Słowa kluczowe

EN

discrete-time; output admissible set; semilinear system; asymptotic stability; uncontrolled system; controlled system; delayed system

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2020
• Tom: Vol. 30, No. 3
• Strony: 523--552
• Opis fizyczny: Bibliogr. 17 poz., rys., wykr., wzory

Twórcy

autor

El Bhih Amine

• Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco

autor

Benfatah Youssef

• Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco

autor

Rachik Mostafa

• Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco

Bibliografia

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