Quasilinear systems with unpredictable relay perturbations

Authors

MEHMET ONUR FEN
FATMA FEN

DOI

10.55730/1300-0098.3166

Abstract

It is rigorously proven under certain assumptions that a quasilinear system with discontinuous right-hand side possesses a unique unpredictable solution. The discontinuous perturbation function on the right-hand side is defined by means of an unpredictable sequence. A Gronwall-Coppel type inequality is utilized to achieve the main result, and the stability of the unpredictable solution is discussed. Examples with exponentially asymptotically stable and unstable unpredictable solutions are provided.

Keywords

Unpredictable solution, unpredictable sequence, quasilinear system, Poincare chaos, discontinuous right-hand side

First Page

1369

Last Page

1383

Recommended Citation

FEN, MEHMET ONUR and FEN, FATMA (2022) "Quasilinear systems with unpredictable relay perturbations," Turkish Journal of Mathematics: Vol. 46: No. 4, Article 19. https://doi.org/10.55730/1300-0098.3166
Available at: https://journals.tubitak.gov.tr/math/vol46/iss4/19