Discrete-Time Representation of Periodic Continuous-Time Systems

Optimal Finite-time Control of Positive Linear Discrete-time Systems

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...

Pole Assignment Of Linear Discrete-Time Periodic Systems In Specified Discs Through State Feedback

The problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. The former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. Nevertheless, now we can obtain the location of eigenvalues ...

Discrete-time Equivalents to Continuous-time Systems

Is discrete time a good representation of continuous time?

Economists model time as continuous or discrete. The recent literature on continuous time models with delays should help to bridge the gap between these two families of models. In this note, we propose a simple time–to–build model in continuous time, and show that a discrete time version is a true representation of the continuous time problem under some sufficient conditions. JEL codes: O40, E3...

H∞ Loop Shaping for Mixed Continuous/discrete-time Time-varying and Periodic Systems

The loop shaping scheme is applied to H∞-control of time-varying and periodic systems. The solution is given in a unified mixed continuous/discrete-time compact form. This implies that pure continuous-time and discrete-time applications simply appear as two different interpretations of the given results. Among the applications are also hybrid systems with time-driven discrete events. For period...