On the output controllability of a class of discrete nonlinear distributed systems: a fixed point theorem approach

Mustapha Lhous; Mostafa Rachik; Jamal Bouyaghroumni; Abdessamad Tridane

doi:10.1007/s40435-017-0315-9

On the output controllability of a class of discrete nonlinear distributed systems: a fixed point theorem approach

Mustapha Lhous
, Mostafa Rachik
, Jamal Bouyaghroumni
, Abdessamad Tridane

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Given a desired signal yd=(yid)i∈{0,…,N}, we investigate the optimal control, which applied to nonlinear discrete distributed system x_i ₊ ₁= Ax_i+ Ex_i+ Bu_i, to give a desired output y^d. Techniques based on the fixed point theorems for solving this problem are presented. An example and numerical simulation is also given.

Original language	English
Pages (from-to)	768-777
Number of pages	10
Journal	International Journal of Dynamics and Control
Volume	6
Issue number	2
DOIs	https://doi.org/10.1007/s40435-017-0315-9
Publication status	Published - Jun 1 2018

Keywords

Fixed point theorem
Nonlinear system
Optimal control
Output controllability

ASJC Scopus subject areas

Control and Systems Engineering
Civil and Structural Engineering
Modelling and Simulation
Mechanical Engineering
Control and Optimization
Electrical and Electronic Engineering

Access to Document

10.1007/s40435-017-0315-9

Cite this

@article{3dbb8c1080f34d009d3563fb94ce92fc,

title = "On the output controllability of a class of discrete nonlinear distributed systems: a fixed point theorem approach",

abstract = "Given a desired signal yd=(yid)i∈\{0,…,N\}, we investigate the optimal control, which applied to nonlinear discrete distributed system xi + 1= Axi+ Exi+ Bui, to give a desired output yd. Techniques based on the fixed point theorems for solving this problem are presented. An example and numerical simulation is also given.",

keywords = "Fixed point theorem, Nonlinear system, Optimal control, Output controllability",

author = "Mustapha Lhous and Mostafa Rachik and Jamal Bouyaghroumni and Abdessamad Tridane",

note = "Publisher Copyright: {\textcopyright} 2017, Springer-Verlag Berlin Heidelberg.",

year = "2018",

month = jun,

day = "1",

doi = "10.1007/s40435-017-0315-9",

language = "English",

volume = "6",

pages = "768--777",

journal = "International Journal of Dynamics and Control",

issn = "2195-268X",

publisher = "Springer International Publishing AG",

number = "2",

}

TY - JOUR

T1 - On the output controllability of a class of discrete nonlinear distributed systems

T2 - a fixed point theorem approach

AU - Lhous, Mustapha

AU - Rachik, Mostafa

AU - Bouyaghroumni, Jamal

AU - Tridane, Abdessamad

PY - 2018/6/1

Y1 - 2018/6/1

N2 - Given a desired signal yd=(yid)i∈{0,…,N}, we investigate the optimal control, which applied to nonlinear discrete distributed system xi + 1= Axi+ Exi+ Bui, to give a desired output yd. Techniques based on the fixed point theorems for solving this problem are presented. An example and numerical simulation is also given.

AB - Given a desired signal yd=(yid)i∈{0,…,N}, we investigate the optimal control, which applied to nonlinear discrete distributed system xi + 1= Axi+ Exi+ Bui, to give a desired output yd. Techniques based on the fixed point theorems for solving this problem are presented. An example and numerical simulation is also given.

KW - Fixed point theorem

KW - Nonlinear system

KW - Optimal control

KW - Output controllability

UR - https://www.scopus.com/pages/publications/85046801252

UR - https://www.scopus.com/pages/publications/85046801252#tab=citedBy

U2 - 10.1007/s40435-017-0315-9

DO - 10.1007/s40435-017-0315-9

M3 - Article

AN - SCOPUS:85046801252

SN - 2195-268X

VL - 6

SP - 768

EP - 777

JO - International Journal of Dynamics and Control

JF - International Journal of Dynamics and Control

IS - 2

ER -

On the output controllability of a class of discrete nonlinear distributed systems: a fixed point theorem approach

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this