Title

Full-order observers for linear fractional multi-order difference systems

Journal title

Bulletin of the Polish Academy of Sciences Technical Sciences

Yearbook

2017

Volume

65

Issue

No 6 (Special Section on Civil Engineering – Ongoing Technical Research. Part II)

Authors

Wyrwas, M.

Divisions of PAS

Nauki Techniczne

Coverage

891-898

Date

2017

Identifier

DOI: 10.1515/bpasts-2017-0096

Source

Bulletin of the Polish Academy of Sciences: Technical Sciences; 2017; 65; No 6 (Special Section on Civil Engineering – Ongoing Technical Research. Part II); 891-898

References

Stanisławski (2013), Stability analysis for discrete - time fractional - order LTI state - space systems Part II : New stability criterion for FD - based systems Pol, Tech, 363. ; Sierociuk (2008), Stability of discrete fractional order state space systems of and, Journal Vibration Control, 14, 9. ; Atıcı (2009), Discrete fractional calculus with the nabla operator Electronic Journal of Qualitative Theory of Differential EquationsSpec, null, 17, 1. ; Mozyrska (2013), Overview of the fractionalh - difference operators In editor Operator and Applications volume pages, Theory Advances, 19, 229. ; Abdeljawad (2012), On the definitions of nabla fractional operators and pages, Abstract Applied Analysis, 16. ; Kaczorek (2011), Selected Problems of Fractional Systems Theory, null. ; Wyrwas (null), Theoretical Developments and Applications of Non - Integer Order Systems In Stefan Domek editors Lecture Notes in volume chapter : Stability of linear discrete time systems with fractional positive orders Springer, Electrical Engineering, 26, 357. ; Kaczorek (2016), Responses comparison of the two discrete - time linear fractional state - space models Fractional Calculus and, Applied Analysis, 19, 789. ; Mozyrska (2013), Local controllability of nonlinear discrete - time fractional order systems Pol, Tech, 1. ; Ferreira (2011), - difference equations arising from the calculus of variations, Applicable Analysis Discrete Mathematics, 27, 110. ; Mozyrska (2016), Fractional discrete - time of Hegselmann s type consensus model with numerical simulations, Neurocomputing, 216. ; Anderson (2007), Modelling and identification of nonlinear deterministic systems in deltadomain, Automatica, 21, 1859. ; Warsaw (2007), Sierociuk Estimation and control of discrete - time dybnamical fractional systems described in state space Ph thesis Warsaw University of Technology, null, 25. ; Miller (1988), Fractional difference calculus InProceedings of the International Symposium on Univalent Functions Fractional Calculus and their Applications pages Kōriyama Japan University, null, 15, 139. ; Dzieliński (2006), Observer for discrete fractional order state - space systems nd IFAC Workshop on Fractional Diffrentation and its Applications, null, 24, 524. ; Chen (2011), Existence results for nonlinear fractional difference equation in Difference pages, Advances Equations, 18. ; Stanisławski (2013), Stability analysis for discrete - time fractional - order LTI state - space systems Part New necessary and sufficient conditions for the asymptotic stability Pol, Tech, 353. ; Kaczorek (2016), new approach to the realization problem for fractional discrete - time linear systems Pol, Tech, 1. ; Busłowicz (2010), Robust stability of positive discrete time linear systems of fractional order Pol, Tech, 31, 567. ; Boutayeb (2002), Generalized state - space observers for chaotic synchronization and secure communication on and and, IEEE Transactions Circuits Systems Fundamental Theory Applications, 22, 345. ; Darouach (1994), Full - order observers for linear systems with unknown inputs on, IEEE Transactions Automatic Control, 23, 606. ; Atıcı (2007), transform method in discrete fractional calculus of Difference Equations, International Journal, 29, 165. ; Chen (null), New result on finite - time stability of fractional - order nonlinear delayed systems of and pages, Journal Computational Nonlinear Dynamics, 10, 1. ; Gabano (2011), Fractional modelling and identification of thermal systems Processing, Signal, 531. ; Sierociuk (null), Diffusion process modeling by using fractional - order models and, Applied Mathematics Computation, 11, 257. ; Dzieliński (2010), Some applications of fractional order calculus Pol, Tech, 583. ; Stanisławski (2017), Modeling of discrete - time fractional - order state space systems using the balanced truncation method of the, Journal Franklin Institute, 12, 354. ; Podlubny (1999), Fractional Academic San New Toronto, Differential Equations, 14. ; Kilbas (2006), Theory and Applications of Fractional Amsterdam, Differential Equations North Holland Mathematics Studies Science, 13, 204. ; Busłowicz (2013), Necessary and sufficient conditions for stability of fractional discrete - time linear statespace systems Pol, Tech, 779. ; Mozyrska (null), The transform method and delta type fractional difference operators in and pages, Discrete Dynamics Nature Society, 30, 2015. ; Ortigueira (null), differential systems Processing, Signal, 20, 107. ; Bastos (2011), Discrete - time fractional variational problems Processing, Signal, 28, 513. ; Busłowicz (2009), Simple conditions for practical stability of positive fractional discrete time linear systems, International Journal of Applied Mathematics and Computer Science, 19, 236.