5 papers
Fractional-Order State Space Models
L. Dorcak, I. Petras, I. Kostial +1
In this paper we will present some alternative types of mathematical description and methods of solution of the fractional-order dynamical system in the state space. We point out t…
State-Space Controller Design for the Fractional-Order Regulated System
L. Dorcak, I. Petras, I. Kostial +1
In this paper we will present a mathematical description and analysis of a fractional-order regulated system in the state space and the state-space controller design based on placi…
Identification of Fractional-Order Dynamical Systems
L. Dorcak, V. Lesko, I. Kostial
This contribution deals with identification of fractional-order dynamical systems. We consider systems whose mathematical description is a three-member differential equation in whi…
Modelling and analysis of fractional-order regulated systems in the state space
L. Dorcak, I. Petras, I. Kostial
In this paper we present the mathematical description and analysis of a fractional-order regulated system in the state space. A little historical background of our results in the a…
The modelling and analysis of fractional-order control systems in discrete domain
I. Petras, L. Dorcak, I. Kostial
This paper deals with fractional-order controlled systems and fractional-order controllers in the discrete domain. The mathematical description by the fractional difference equatio…