# Fractional Multidimensional System

## TL;DR

This paper introduces a model for multidimensional systems combining discrete and fractional order continuous components, analyzing their stability and robustness to ensure reliable system performance.

## Contribution

It presents a novel framework for analyzing stability of combined discrete and fractional continuous multidimensional systems.

## Key findings

- Established stability criteria for fractional multidimensional systems.
- Analyzed robustness of the systems under perturbations.
- Provided theoretical conditions for system stability.

## Abstract

The multidimensional ($n$-D) systems described by Roesser model are presented in this paper. These $n$-D systems consist of discrete systems and continuous fractional order systems with fractional order $\nu$, $0<\nu<1$. The stability and Robust stability of such $n$-D systems are investigated.