This paper presents the basic concepts of stability in fuzzy linguistic models. Theauthors have proposed a criterion for BIBO stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25]-[28]. This paper presents the basic concepts ofstability in the general nonlinear and linear systems. This stability analysis method is verifiedusing a benchmark system analysis.

We investigate the transfer function emanating from linearization of a car-following model for human drivers when taking into account their reaction time, which is known to be cause stop-and-go traffic phenomenon. This leads nonrational function, implying nontrivial stability conditions are explicitly given. They in particular satisfied whenever string holds. also show how this time can introdu...

In this paper we present partial stability results; that is, stability with respect to part of the system's state, for nonlinear dynamical systems. Using these results we provide a rigorous uni cation between partial stability theory for autonomous systems and stability theory for nonlinear time-varying systems. This uni cation allows for time-varying stability theory to be presented as a speci...

The stability problem of discrete-time linear systems with interval time-varying delays is investigated in this paper. According to the latest summation inequality technique, an improved free-matrix-based proposed In order make full use bound upper bounds difference Lyapunov-Krasovskii functional (LKF), augmented LKF some extra status information constructed. A new delay-range-dependent criteri...

This paper studies deterministic and stochastic fixed-time stability of autonomous nonlinear discrete-time (DT) systems. Lyapunov conditions are first presented under which the DT systems is certified. Extensions to perturbations as well noise then considered. For former, sensitivity for stable analyzed, it shown that attractiveness results from conditions. latter, sufficient in probability pre...