Abstract
Two new classes of positive two-dimensional (2D) fractional linear systems are introduced in this work. Two definitions of fractional differences of 2D function are proposed. The solutions of fractional 2D state equations of the linear systems are given. The classical Cayley–Hamilton theorem is extended to 2D fractional systems. The necessary and sufficient conditions for the positivity of 2D fractional systems are established. The notion of reachability is introduced for the positive fractional systems and the necessary and sufficient conditions for the reachability are established. The considerations are illustrated with numerical examples.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
