Parameter estimation of MIMO two-dimensional ARMAX model based on IGLS method

Abbasi, Z., Zamani, I., Amiri Mehra, A. H. and Shafieirad, M. (2020) Optimal Control Design of Impulsive SQEIAR Epidemic Models with Application to COVID-19. Chaos, Solitons & Fractals, 139, 110054.10.1016/j.chaos.2020.110054732435432834607 Search in Google Scholar

Ali, M., Chughtai, S. S. and Werner, H. (2010) Consistent identification of two-dimensional systems. In: American Control Conference (ACC), June 2010, 3464-3469, IEEE.10.1109/ACC.2010.5531055 Search in Google Scholar

Amiri Mehra, A. H., Shafieirad, M., Abbasi, Z. and Zamani, I. (2020) Parameter Estimation and Prediction of COVID-19 Epidemic Turning Point and Ending Time of a Case Study on SIR/SQAIR Epidemic Models. Journal of Computational and Mathematical Methods in Medicine, December 29^th, 2020. https://doi.org/10.1155/2020/1465923777429933456496 Search in Google Scholar

Bracewell, R. N. (1995) Two-Dimensional Imaging. Prentice Hall, Engle-wood Cliffs. Search in Google Scholar

Chen, C. T. and Kao, Y. S. (1979) Identification of two-dimensional transfer functions from finite input-output data. IEEE Transactions on Automatic Control, 24(5), 748-752.10.1109/TAC.1979.1102166 Search in Google Scholar

Ding, D. W., Du, X. and Li, X. (2015) Finite-frequency model reduction of two-dimensional digital filters. IEEE Transactions on Automatic Control, 60(6), 1624-1629.10.1109/TAC.2014.2359305 Search in Google Scholar

Fornasini, E. and Marchesini, G. (1978) Doubly-indexed dynamical systems: State-space models and structural properties. Mathematical Systems Theory, 12(1), 59-72.10.1007/BF01776566 Search in Google Scholar

Fraanje, R. and Verhaegen, M. (2005) A spatial canonical approach to multidimensional state-space identification for distributed parameter systems. In: Multidimensional Systems, July 2005. NDS 2005. The Fourth International Workshop on. IEEE, 217-222.10.1109/NDS.2005.195357 Search in Google Scholar

Frank, P. M. (1999) Advances in Control. Springer.10.1007/978-1-4471-0853-5 Search in Google Scholar

Garnier, H. and Wang, L. (2008) Identification of Continuous-time Models from Sampled Data. Springer.10.1007/978-1-84800-161-9 Search in Google Scholar

Kaczorek, T. (1985) Two-Dimensional Linear Systems. Springer.10.1007/BFb0005617 Search in Google Scholar

Marszalek, W. (1984) Two-dimensional state-space discrete models for hyperbolic partial differential equations. Applied Mathematical Modelling, 8(1), 11-14.10.1016/0307-904X(84)90170-7 Search in Google Scholar

Norton, J.P. (1986) An Introduction to Identification. Academic Press. Search in Google Scholar

Sadeghi, M., Shafiee, M. and Shafieirad, M. (2013) A new approach to improve defect detection of steel sheets using Gabor wavelet. International Journal of Information and Electronics Engineering, 3(5), 541.10.7763/IJIEE.2013.V3.374 Search in Google Scholar

Shafieirad, M. and Shafiee, M. (2008) A mobility-aware cross-layer congestion control, routing and scheduling design in ad-hoc wireless networks. In: 11^th International Conference on Optimization of Electrical and Electronic Equipment. May 2008, IEEE, 191-200. Search in Google Scholar

Shafieirad, M., Shafiee, M. and Abedi, M. (2013) Identification of linear partial difference equations with constant coefficients. J. Basic Appl. Sci. Res., 3(1), 655-660. Search in Google Scholar

Shafieirad, M., Shafiee, M. and Abedi, M. (2014a) Estimation of Space and Time Shifts in Continuous 2-D Systems Using Instrumental Variable. Canadian Journal of Electrical and Computer Engineering, 37(1), 42-47.10.1109/CJECE.2014.2311927 Search in Google Scholar

Shafieirad, M., Shafiee, M. and Abedi, M. (2014b) Recursive identification of continuous two-dimensional systems in the presence of additive colored noise. IETE Journal of Research, 60(1), 74-84.10.1080/03772063.2014.890830 Search in Google Scholar

Wang, Y., Zhao, D., Li, Y. and Ding, S. X. (2017) Unbiased minimum variance fault and state estimation for linear discrete time-varying two-dimensional systems. IEEE Trans. Autom. Control, 62(10), 5463-5469.10.1109/TAC.2017.2697210 Search in Google Scholar

Zeinali, M. and Shafiee, M. (2016) A new Levinson–Durbin based 2-D AR model parameter estimation method. Multidimensional Systems and Signal Processing, 27(2), 341-357.10.1007/s11045-014-0305-4 Search in Google Scholar

Zhao, D., Wang, Y., Li, Y. and Ding, S. X. (2017) H∞ fault estimation for 2-D linear discrete time-varying systems based on Krein space method. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 48(12), 2070-2079.10.1109/TSMC.2017.2723623 Search in Google Scholar