On Controllability of Fuzzy Dynamical Matrix Lyapunov Systems

Abstract

In this paper, we provide a way to combine matrix Lyapunov systems with fuzzy sets to form a new system called fuzzy dynamical matrix Lyapunov system and obtain a sufficient condition for the controllability of this system.

Generalized differentiability and integrability for fuzzy set-valued functions on time scales

“…In Bede and Gal (2005), the author introduced the notion of strongly generalized differentiability of fuzzy-number-valued functions. Fuzzy set theory and its applications have been extensively developed by many authors (Kaleva 1987;Lakshmikantham and Mohapatra 2003;Murthy and Suresh-Kumar 2006, 2007, 2008aMurthy et al 2013).…”