학술논문

Asymptotic Stability of Switched $2D$ Fractional Order Positive Systems
Document Type
Conference
Source
2022 10th International Conference on Systems and Control (ICSC) Systems and Control (ICSC), 2022 10th International Conference on. :149-155 Nov, 2022
Subject
Aerospace
Bioengineering
Communication, Networking and Broadcast Technologies
Engineering Profession
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Transportation
Asymptotic stability
Sufficient conditions
Switches
Control systems
Stability analysis
Numerical models
Numerical stability
Fractional order systems
2D discrete systems
Switched 2D systems
Positivity
Language
ISSN
2379-0067
Abstract
In this paper, switched $2D$ fractional order positive systems described by the Roesser model are introduced. The state space representation of each subsystem is given using the fractional difference definition. Necessary and sufficient conditions for the asymptotic stability are established via the methods of common Lyapunov function for any switching. Finally, numerical examples are employed to validate the proposed theoretical results.