Abstract
The controllability and observability of fractional different orders discrete-time linear systems are analyzed. The relationship between controllability and observability of standard and fractional discrete-time linear systems are investigated. The influence of the fractional order on the controllability and observability is shown. Investigations are illustrated on numerical examples.
Acknowledgements
The studies have been carried out in the framework of work No. S/WE/1/2016 and financed from the funds for science by the Polish Ministry of Science and Higher Education.
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© 2019 Diogenes Co., Sofia
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- FCAA related news, events and books (FCAA–volume 22–1–2019)
- Survey Paper
- Ranking the scientific output of researchers in fractional calculus
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- Research Paper
- From power laws to fractional diffusion processes with and without external forces, the non direct way
- Homogeneous robin boundary conditions and discrete spectrum of fractional eigenvalue problem
- The numerical algorithms for discrete Mittag-Leffler functions approximation
- New interpretation of fractional potential fields for robust path planning
- Stable distributions and green’s functions for fractional diffusions
- Fractional calculus in economic growth modelling of the group of seven
- Relationship between controllability and observability of standard and fractional different orders discrete-time linear system
- Optimal control of linear systems of arbitrary fractional order
- Fractional impulsive differential equations: Exact solutions, integral equations and short memory case
- Fractional-order modelling and parameter identification of electrical coils
- Fractional-order value identification of the discrete integrator from a noised signal. part I
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- FCAA related news, events and books (FCAA–volume 22–1–2019)
- Survey Paper
- Ranking the scientific output of researchers in fractional calculus
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- Research Paper
- From power laws to fractional diffusion processes with and without external forces, the non direct way
- Homogeneous robin boundary conditions and discrete spectrum of fractional eigenvalue problem
- The numerical algorithms for discrete Mittag-Leffler functions approximation
- New interpretation of fractional potential fields for robust path planning
- Stable distributions and green’s functions for fractional diffusions
- Fractional calculus in economic growth modelling of the group of seven
- Relationship between controllability and observability of standard and fractional different orders discrete-time linear system
- Optimal control of linear systems of arbitrary fractional order
- Fractional impulsive differential equations: Exact solutions, integral equations and short memory case
- Fractional-order modelling and parameter identification of electrical coils
- Fractional-order value identification of the discrete integrator from a noised signal. part I