Academic Journal
Exact determinantions of maximal output admissible set for a class of semilinear discrete systems
| العنوان: | Exact determinantions of maximal output admissible set for a class of semilinear discrete systems |
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| المؤلفون: | Amine, El Bhih, Youssef, Benfatah, Mostafa, Rachik |
| المصدر: | Archives of Control Sciences, Vol vol. 30, Iss No 3, Pp 523-550 (2020) |
| بيانات النشر: | Polish Academy of Sciences, 2020. |
| سنة النشر: | 2020 |
| المجموعة: | LCC:Information technology LCC:Mathematics |
| مصطلحات موضوعية: | discrete-time, output admissible set, semilinear system, asymptotic stability, uncontrolled system, controlled system, delayed system, Information technology, T58.5-58.64, Mathematics, QA1-939 |
| الوصف: | Consider the semilinear system defined by x(i+1) = Ax(i) + f(x(i)), i≥ 0 x(0) = x0 ϵ ℜn and the corresponding output signal y(i)=Cx(i), i ≥ 0, where A is a n x 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 in ℜp if the output signal (y(i))i associated to our system satisfies the condition y(i) in 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. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1230-2384 |
| Relation: | https://journals.pan.pl/Content/117709/PDF/art06.pdf; https://doaj.org/toc/1230-2384 |
| DOI: | 10.24425/acs.2020.134676 |
| URL الوصول: | https://doaj.org/article/bd6a96394b5c406cb931162bf2de9343 |
| رقم الانضمام: | edsdoj.bd6a96394b5c406cb931162bf2de9343 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 12302384 |
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| DOI: | 10.24425/acs.2020.134676 |