Fractional Kalman filter algorithm for the states, parameters and order of fractional system estimation D Sierociuk, A Dzieliński Zielona Góra: Uniwersytet Zielonogórski, 2006 | 393 | 2006 |
Some applications of fractional order calculus A Dzieliński, D Sierociuk, G Sarwas Bulletin of the Polish Academy of Sciences: Technical Sciences, 2010 | 251 | 2010 |
Modelling heat transfer in heterogeneous media using fractional calculus D Sierociuk, A Dzieliński, G Sarwas, I Petras, I Podlubny, T Skovranek Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2013 | 245 | 2013 |
Diffusion process modeling by using fractional-order models D Sierociuk, T Skovranek, M Macias, I Podlubny, I Petras, A Dzielinski, ... Applied Mathematics and Computation 257, 2-11, 2015 | 207 | 2015 |
Stability of discrete fractional order state-space systems A Dzieliński, D Sierociuk Journal of Vibration and Control 14 (9-10), 1543-1556, 2008 | 207 | 2008 |
Comparison and validation of integer and fractional order ultracapacitor models A Dzieliński, G Sarwas, D Sierociuk Advances in Difference Equations 2011, 1-15, 2011 | 151 | 2011 |
Experimental evidence of variable-order behavior of ladders and nested ladders D Sierociuk, I Podlubny, I Petras IEEE Transactions on Control Systems Technology 21 (2), 459-466, 2012 | 124 | 2012 |
Adaptive feedback control of fractional order discrete state-space systems A Dzielinski, D Sierociuk International conference on computational intelligence for modelling …, 2005 | 100 | 2005 |
Ultracapacitor modelling and control using discrete fractional order state-space model A Dzielinski, D Sierociuk Acta Montanistica Slovaca 13 (1), 136-145, 2008 | 94 | 2008 |
Derivation, interpretation, and analog modelling of fractional variable order derivative definition D Sierociuk, W Malesza, M Macias Applied Mathematical Modelling 39 (13), 3876-3888, 2015 | 83 | 2015 |
Improved fractional Kalman filter and its application to estimation over lossy networks D Sierociuk, I Tejado, BM Vinagre Signal Processing 91 (3), 542-552, 2011 | 78 | 2011 |
Identification of parameters of a half-order system I Petras, D Sierociuk, I Podlubny IEEE Transactions on Signal Processing 60 (10), 5561-5566, 2012 | 72 | 2012 |
Time domain validation of ultracapacitor fractional order model A Dzieliński, G Sarwas, D Sierociuk 49th IEEE Conference on Decision and Control (CDC), 3730-3735, 2010 | 72 | 2010 |
Ultracapacitor parameters identification based on fractional order model A Dzieliński, D Sierociuk, G Sarwas 2009 European Control Conference (ECC), 196-200, 2009 | 60 | 2009 |
On the recursive fractional variable-order derivative: equivalent switching strategy, duality, and analog modeling D Sierociuk, W Malesza, M Macias Circuits, Systems, and Signal Processing 34, 1077-1113, 2015 | 59 | 2015 |
Observer for discrete fractional order state-space systems A Dzieliński, D Sierociuk IFAC Proceedings Volumes 39 (11), 511-516, 2006 | 57 | 2006 |
Fractional order estimation schemes for fractional and integer order systems with constant and variable fractional order colored noise D Sierociuk, P Ziubinski Circuits, Systems, and Signal Processing 33, 3861-3882, 2014 | 54 | 2014 |
Fractional order model of beam heating process and its experimental verification A Dzieliński, D Sierociuk New trends in nanotechnology and fractional calculus applications, 287-294, 2010 | 51 | 2010 |
Analytical solution of fractional variable order differential equations W Malesza, M Macias, D Sierociuk Journal of Computational and Applied Mathematics 348, 214-236, 2019 | 50 | 2019 |
New method of fractional order integrator analog modeling for orders 0.5 and 0.25 D Sierociuk, A Dzielinski 2011 16th International Conference on Methods & Models in Automation …, 2011 | 46 | 2011 |