The stability analysis of abstract Takagi–Sugeno fuzzy impulsive system

Слынько, В. И.; Denysenko, Viktoriya

doi:10.1016/j.fss.2014.02.019

Cited by 7 publications

(1 citation statement)

References 20 publications

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“…In [21], Lyapunov-like functions for hybrid dynamic equations on time scales with the state space R n are studied using Dini derivatives and comparison principles. Related studies are found in [23], for incremental stability of stochastic hybrid systems, in [11] for practical stability of discrete hybrid systems with different initial times, and in [20] for stability analysis of abstract Takagi-Sugeno fuzzy impulsive systems.…”

Section: Introductionmentioning

confidence: 99%

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

Fard

Torres

Zadeh

2016

APPL ANAL DISCRETE M

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We introduce a new approach to study the practical stability of hybrid fuzzy systems on time scales in the Lyapunov sense. Our method is based on the delta-Hukuhara derivative for fuzzy valued functions and allow us to obtain new interesting stability criteria. We also show the validity of the results of [M. Sambandham: Hybrid fuzzy systems on time scales, Dynam. Systems Appl. 12 (2003), no. 1-2, 217-227], by embedding the space of all fuzzy subsets into a suitable Banach space.Comment: This is a preprint of a paper whose final and definite form is published in Applicable Analysis and Discrete Mathematics (AADM), ISSN 1452-8630 (printed), ISSN 2406-100X (online), available online at [http://pefmath.etf.rs]. Submitted to AADM 02/Nov/2014; Revised and Resubmitted to AADM 22/Jul/2015; Revised 10/Feb/2016; Accepted 11/March/201

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Section: Introductionmentioning

confidence: 99%