An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is
presented. The main results and proofs are presented in details for the case of systems with …

An overview of stability conditions in terms of the Lyapunov matrix for linear integral delay
equations is presented. Several examples in the analysis, control and modeling motivate …

Recently, a number of Lyapunov matrix-based necessary and sufficient stability tests which
require a finite number of operations to be verified were presented for linear time-invariant …

The famous discretized Lyapunov functional method of K. Gu employing the functionals of
general structure with piecewise linear matrix kernels is known to deliver effective stability …

This paper presents a new technique using a recurrent non-singleton type-2 sequential
fuzzy neural network (RNT2SFNN) for synchronization of the fractional-order chaotic …

Recently, the possibility to verify positive definiteness of Lyapunov–Krasovskii functionals
only on a specific Razumikhin-type set of functions to conclude on the stability of linear time …

In this paper, we analyze the asymptotic stability of linear systems with multiple uncertain
delays assuming the nominal delays to be constant with possible zero or nonzero values …

Recently, necessary conditions of stability for time-delay systems based on the handling of
the Lyapunov–Krasovskii functional have been studied in the literature giving rise to a new …

This article presents the solution to the infinite horizon optimal control problem for linear
distributed time-delay systems. It is based on the use of the Cauchy solution for distributed …

In a DC microgrid cluster, distributed DC microgrids are integrated to manage diverse and
distributed energy resources. Without the reliance on a management center, the distributed …