Linear Time-invariant Delay Systems Research Articles

Characterization of state controllable time-delay systems with piecewise constant inputs. Part I. Derivation of general conditions†

The possibility of sampled-data feedback control for linear time-invariant multiple delay systems is studied using the constraint of piecewise constant control inputs. A split system representation is utilized to derive both necessary and sufficient conditions for control of the system state to the null function in the state space.

Characterization of state controllable time-delay systems with piecewise constant inputs. Part II. Analysis of second and third order systems†

An algebraic condition necessary for controlling the state of linear time-invariant delay systems to the null function is used to determine the concomitant structural properties of second and third order systems. It is shown that the characteristic quasipolynomials for the undriven systems are polynomials of second and third order, respectively.

On pointwise degeneracy, controllability and minimal time control of linear dynamical systems with delays

The first part of this paper surveys controllability and degeneracy results for linear time-invariant delay systems and discusses their relationship to minimal time, delay feedback control. In the second part a now construction for augmented delay feedback which achieves function space null controllability is presented. New results on the pointwise degeneracy of dynamic systems with pure delays are also stated.

Explicit Solutions of Linear Matrix Equations

Explicit Solutions of Linear Matrix Equations