Positive 2D fractional linear systems
Author:
- 6 March 2009
- journal article
- research article
- Published by Emerald Publishing in COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
- Vol. 28 (2) , 341-352
Abstract
Purpose: The purpose of this paper is to introduce a new class of positive two‐dimensional (2D) fractional linear systems.Design/methodology/approach: A notion (concept) of order 2D difference is proposed and the solution to the state equations is given.Findings: The classical Cayley‐Hamilton theorem is extended to the positive 2D fractional linear systems. Necessary and sufficient conditions for the positivity of 2D fractional linear systems, reachability and controllability to zero are established.Originality/value: A method for analysis of positive 2D fractional linear systems is proposed.Keywords
This publication has 18 references indexed in Scilit:
- Fractional Positive Continuous-Time Linear Systems and Their ReachabilityInternational Journal of Applied Mathematics and Computer Science, 2008
- Phase synchronization in fractional differential chaotic systemsPhysics Letters A, 2008
- The non-integer difference of the discrete-time function and its application to the control system synthesisInternational Journal of Systems Science, 2000
- On the internal stability and asymptotic behavior of 2-D positive systemsIEEE Transactions on Circuits and Systems I: Regular Papers, 1997
- Elementary operation approach to state-space realizations of 2-D systemsIEEE Transactions on Circuits and Systems I: Regular Papers, 1997
- The general state-space model for a two-dimensional linear digital systemIEEE Transactions on Automatic Control, 1985
- Open Problems1985
- Doubly-indexed dynamical systems: State-space models and structural propertiesTheory of Computing Systems, 1978
- State-space realization theory of two-dimensional filtersIEEE Transactions on Automatic Control, 1976
- A discrete state-space model for linear image processingIEEE Transactions on Automatic Control, 1975