IJPAM: Volume 116, No. 2 (2017)

Title

REVERSE ALGORITHM FOR PRACTICAL
STABILIZATION OF DISCRETE INCLUSIONS

Authors

Mariia S. Tairova$^1$, Yevhen M. Strakhov$^2$
$^1$Department of Computational Mathematics
Institute of Mathematics, Economics and Mechanics
Odessa I.I. Mechnikov National University
Dvoryans’ka st., 2, 65082, Odessa, UKRAINE
$^2$Department of Optimal Control and Economic Cybernetics
Institute of Mathematics, Economics and Mechanics
Odessa I.I. Mechnikov National University
Dvoryans’ka st., 2, 65082, Odessa, UKRAINE

Abstract

This article discusses the issue of practical stabilization of linear discrete control inclusions. We introduce a concept of potential weakly stable solutions for discrete inclusions and propose a reverse stabilization method for linear case.

History

Received: 2017-06-25
Revised: 2017-08-20
Published: October 7, 2017

AMS Classification, Key Words

AMS Subject Classification: 34A60, 93D05
Key Words and Phrases: discrete inclusions, practical stabilization, weakly stable solutions

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Bibliography

1
N.L. Grigorenko, D.V. Kamzolkin, D.G.Pivovarchuk, Linear Differential Games. Numerical Solutions, Moscow, 2007, In Russian.

2
V.V. Pichkur, M.S. Sasonkina, Approximation of maximal set of initial conditions in a practical stabilization problem for systems with multi-valued right-hand side, Visnyk Odes'kogo natsional'nogo universitetu. Matematyka i mekhanika, 17 (2012), 121-128, In Ukrainian.

3
V.V. Pichkur, M.S. Sasonkina, Optimal sets of initial conditions in a practical stability problem for discrete inclusions, In: Mathematical Analysis, Differential Equations and their Applications, September 15-20, 2010, Sunny Beach, Bulgaria (2011), 291-300.

4
V.V. Pichkur, M.S. Sasonkina, Practical stabilization of discrete control systems, International Journal of Pure and Applied Mathematics, 81 (2012), 877-884.

5
T.O. Romanova, M.S. Tairova, Reverse practical stabilization method for discrete linear systems, Visnyk Odes'kogo natsional'nogo universitetu. Matematyka i mekhanika, 20 (2015), 59-70, In Ukrainian.

How to Cite?

DOI: 10.12732/ijpam.v116i2.20 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 116
Issue: 2
Pages: 489 - 499


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