A stability criterion for the exponential stability of systems with multiple pointwise and
distributed delays is presented. Conditions in terms of the delay Lyapunov matrix are …

In this paper, a necessary and sufficient condition for the exponential stability of linear
systems with several time-delays is presented. Such a condition is based on the construction …

We present necessary conditions for the exponential stability of linear systems with multiple
delays. They are expressed in terms of the delay Lyapunov matrix of the Lyapunov …

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 …

A new necessary and sufficient exponential stability condition for systems with multiple
delays is presented. It is given in terms of a symmetric block matrix uniquely determined by …

In this paper, a new stability criterion for linear time-delay systems of neutral type is
presented. By virtue of the well-known Krasovskii theorem, the system is exponentially …

A Lyapunov–Krasovskii functional with prescribed derivative whose construction does not
require the stability of the system is introduced. It leads to the presentation of …

This paper deals with linear time-invariant systems with multiple delays. We present a
necessary and sufficient stability condition, expressed in terms of the delay Lyapunov matrix …

In this paper, we demonstrate that the Lyapunov-Krasovskii functional, which does not admit
a quadratic lower bound, can be applied for the robust exponential stability analysis as well …

The article proposes an approach to complete-type and related Lyapunov-Krasovskii
functionals that neither requires knowledge of the delay Lyapunov matrix function nor does it …