Time-varying differential algebraic equations (DAEs) of the form E ̇ x= Ax+ f are
considered. The solutions x and the inhomogeneities f are assumed to be distributions …

An approach is developed based on polynomial matrix theory for formulating the equations
of motion and for determining the response of multi-degree-of-freedom (MDOF) linear …

A Generalized Framework of Linear Multivariable Control proposes a number of generalized
models by using the generalized inverse of matrix, while the usual linear multivariable …

In this paper, a mathematical methodology is presented for the determination of the solution
of motion for linear constrained mechanical systems applicable also to systems with singular …

We examine the problem of equivalence of discrete time auto-regressive representations
(DTARRs) over a finite time interval. Two DTARRs are defined as fundamentally equivalent …

The causal and non-causal reachability Grammians are used, in order to define the
reachability subspace of discrete-time systems. Controllability of the discrete-time regular …

This paper consists of two parts. In the first part, we present the smooth and impulsive
solution space B of the system of algebraic and differential equations A (ρ) β (t)= 0, ρ≔ d/dt …

The notion of observability for higher order discrete-time systems of algebraic and difference
equations is studied. Such systems are also known as polynomial matrix descriptions …

In this paper, based on the inverse of block companion matrix pencils associated with matrix
polynomials, a first-order state-space realization in descriptor system form for a general high …

A new formula for the solution of discrete time auto-regressive moving average (ARMA)
representations is provided. Then, the concept of reachability (also known as controllability …