A Hukuhara approach to the study of hybrid fuzzy systems on time scales

Applicable Analysis and Discrete Mathematics

article

Omid S. Fard¹  Delfim F. M. Torres²  Mohadeseh R. Zadeh³ 

[1] School of Mathematics and Computer Science Damghan University;Center for Research and Development in Mathematics and Applications ,(CIDMA) Department of Mathematics, University of Aveiro;Department of Mathematics, Damghan University

关键词: Fuzzy hybrid systems;    fuzzy dynamical systems;    practical stability;    time scales;   

DOI  :  10.2298/AADM160311004F

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

We introduce a new approach to study the practical stability of hybrid fuzzysystems on time scales in the Lyapunov sense. Our method is based on thedelta-Hukuhara derivative for fuzzy valued functions and allow us to obtainnew interesting stability criteria. We also show the validity of the results ofM. Sambandham: Hybrid fuzzy systems on time scales, Dynam. SystemsAppl., 12 (1–2) (2003), 217–227, by embedding the space of all fuzzy subsetsinto a suitable Banach space.

【 授权许可】

Unknown