Stability properties of positively invariant linear discrete time systems

Stability Analysis of Two-Dimensional Linear Time Invariant Discrete Systems

A two-dimensional linear time invariant arises in image processing and geophysics for processing seismic, gravity as well as magnetic data. Two dimensional recursive filters in the frequency domain poses a great challenge in its stability which affects the output that need to be very accurate. Many algebraic schemes are on hand to test the stability of two-dimensional systems. A typical algebra...

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...

Linear Time-Invariant Systems with Discrete Time

AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS

The purpose of this paper is to show that the ideas and techniques of the classical methods of finding stability, such as the criteria of Leonhard and Nyquist, can be used to derive simple algorithm to verify stability. This is enhanced by evaluating the argument of the characteristic equation of a linear system in the neighbourhood of the origin of the complex plane along the imaginary axis

Maximal compact positively invariant sets of discrete-time nonlinear systems ?

In this paper we examine the existence problem for maximal compact positively invariant sets of discrete-time nonlinear systems. To find these sets we propose the method based on the localization procedure of compact positively invariant sets. Analysis of a location of compact positively invariant sets and maximal compact positively invariant set of the Chatala system is realized for all values...