It is widely known that the solutions of Lyapunov equations can be used to compute the H 2
norm of linear time-invariant (LTI) dynamical systems. In this paper, we show how this theory …

Generalized eigenvalue problems involving a singular pencil are very challenging to solve,
with respect to both accuracy and efficiency. The existing package Guptri is very elegant but …

This article provides a delay-dependent and a necessary and sufficient delay-independent
stability criterion for linear autonomous continuous-time systems with a discrete delay. We …

If iω∈ iR is an eigenvalue of a time-delay system for the delay τ0 then iω is also an
eigenvalue for the delays τk≔ τ0+ k2π/ω, for any k∈ Z. We investigate the sensitivity …

We introduce the quadratic two-parameter eigenvalue problem and linearize it as a singular
two-parameter eigenvalue problem. This, together with an example from model updating …

We present several transformations that can be used to solve the quadratic two-parameter
eigenvalue problem (QMEP), by formulating an associated linear multiparameter eigenvalue …

For a tuple A=(A 1, A 2,…, A n) of elements in a unital algebra B over C, its projective
spectrum P (A) or p (A) is the collection of z∈ C n, or respectively z∈ P n− 1 such that the …

We deal with the challenges and solutions for two-parameter eigenvalue problems (TPEPs)
involving large-scale various dense coefficient matrices using several numerical methods …

The main purpose of this paper is to examine the influence of time delay associated with a
semi-active variable viscous (SAVV) damper on the response of seismically excited linear …

We give two determinantal representations for a bivariate polynomial. They may be used to
compute the zeros of a system of two of these polynomials via the eigenvalues of a two …