The multiplicative and additive compounds of a matrix play an important role in several fields
of mathematics including geometry, multi-linear algebra, graph theory, combinatorics, and …

In this paper, we define the phase response for a class of multi-input multi-output (MIMO)
linear time-invariant (LTI) systems whose frequency responses are (semi-) sectorial at all …

It is shown that an LTI system is a relaxation system if and only if its Hankel operator is cyclic
monotone. Cyclic monotonicity of the Hankel operator implies the existence of a storage …

This paper studies the variation diminishing property of k-positive linear time-invariant (LTI)
systems, which diminish the number of sign changes (variation) from input to output, if the …

Can simple systems be regulated by simple controllers? Engineering experience indicates
that this is often the case. Certainly, the overwhelming majority of industrially deployed …

This article considers balanced truncation of discrete-time Hankel-positive systems,
characterized by Hankel matrices whose minors up to order are nonnegative. Our main …

Abstract Model predictive control (MPC) for linear systems with quadratic costs and linear
constraints is shown to admit an exact representation as an implicit neural network. A …

In this paper, we define the phase response for a class of multi-input multi-output (MIMO)
linear time-invariant (LTI) systems whose frequency responses are (semi-) sectorial at all …

This paper introduces a brand-new phase definition called the segmental phase for multi-
input multi-output linear time-invariant systems. The underpinning of the definition lies in the …

Memristors are nonlinear two-terminal circuit elements whose resistance at a given time
depends on past electrical stimuli. Recently, networks of memristors have received attention …