References
- A
güero , J. C., Yuz , J. I., Goodwin , G. C.and Delgado , R. A. (2010) On the equivalence of time and frequency domain maximum likelihood estimation. Automatica, 46 (2) 260–270. - A
hmed , S., Huang , B.and Shah , S. L. (2007) Novel identification method from step response. Control Engineering Practice, 15 (5) 545–556. - A
kroum , M.and Hariche , K. (2008) An optimal instrumental variable identification method for LMFD models, Studies in Informatics and Control, 17, 4. - A
kroum , M.and Hariche K. (2009) Extending the SRIV algorithm to LMFD models, Journal of Electrical Engineering and Technology, Korean Institute of Electrical Engineers, 4, 1. - A
kroum , M.and Hariche K. (2010) Right matrix fraction description models identification using constrained PEM. Kuwait J. Sci. & Eng. 37 (1B) 69-88. - Å
ström , K. J.and Wittenmark , B. (1989) Adaptive Control. Addison-Wesley, New York. - B
ao , B., Xu , Y.-q ., Sheng , J.and Ding , R.-f . (2011) Least squares based iterative parameter estimation algorithm for multivariable controlled ARMA system modelling with finite measurement data. Mathematical and Computer Modelling, 53, 1664–1669. - B
arbosa , G. C.and Silvestre , F. J. (2025) Output feedback fuzzy gain scheduling for MIMO systems applied to flexible aircraft control. Aerospace, 12, 6, 557. doi: 10.3390/aerospace12060557 - B
ekhiti , B. (2015) On the theory of λ-matrices based MIMO control system design. Control and Cybernetics 44, 4. - B
ekhiti , B. (2018) Multivariable control system design using the theory of matrix polynomials. Ph.D. dissertation. Univ. M’Hamed Bougara-Boumerdes, Algeria. - B
ekhiti , B. (2020a) On the order reduction of MIMO large-scale systems using block-roots of matrix polynomials. Int. J. Comput. Appl. Eng. Technol., 12, 2, 157–181, doi: 10.1504/IJCAET.2020.105576 - B
ekhiti , B. (2020b) On the block decomposition and spectral factors of λ-matrices. Control and Cybernetics, 49, 1, 41–76. - B
ekhiti , B. (2024) Advanced Strategies for Guidance & Control of SAM Missiles. Lambert Academic Publishing, Saarbruecken, Germany. - B
ekhiti , B. (2025) Neural adaptive nonlinear MIMO control for bipedal walking robot locomotion in hazardous and complex task applications. Robotics, 14, 6, 84. doi: 10.3390/robotics14060084 - B
ekhiti , B., Dahimene , A., Nail , B.and Hariche , K. (2015) On Block Roots of Matrix Polynomials Based MIMO Control System Design. 4 th International Conference on Electrical Engineering ICEE Boumerdes. - B
ekhiti , B., Fragulis , G. F., Rahmouni , M.and Hariche , K. (2025a) A novel threedimensional sliding pursuit guidance and control of surface-toair missiles. Technologies, 13, 5, 171. doi: 10.3390/technologies13050171 - B
ekhiti , B., Nail , B., Tibermacine , I. E.and Salim , R. (2025b) On hyper-stability theory based multivariable nonlinear adaptive control: Experimental validation on induction motors. IET Electr. Power Appl., 19, 1, Jan. 2025. doi: 10.1049/elp2.70035 - D
ahimene , A. (2009) Incomplete matrix partial fraction expansion. Control and Cybernetics 38, 3. - D
ennis , J. E., Traub , J. F.and Weber , R. P. (1976) The algebraic theory of matrix polynomials. SIAM J. Numer. Anal., 13: 831-845. - D
ennis , J. E., Traub , J. F.and Weber , R. P. (1978) Algorithms for solvents of matrix polynomials. SIAM J. Numer. Anal., 15:523-533. - G
ao , J. (2023) Output feedback based poles configuration for LDP systems with varying state and input dimensions. IET Control Theory Appl., 17, 318–330. - G
ohberg , I., Kaashoek , M. A.and Rodman , L. (1978) Spectral analysis of families of operator polynomial and a generalized Vandermonde matrix,1. The finite dimensional case. In: Topics in Functional Analysis: Essays Dedicated to M. G. Krein on the Occasion of His 70th Birthday. Academic Press, New York, 91-128. - G
ohberg , I., Lancaster , P.and Rodman , L. (1982) Matrix Polynomials. Academic Press. - G
uo , Sh .-M., Shieh , L. S.and Coleman , N. P. (2001) Observer-Type Kalman Innovation Filter for Uncertain Linear Systems. IEEE Transactions On Aerospace And Electronic Systems, 37, 4, 1406–1418. - G
uo , Sh .-g ., Zhu , F.-l. and Xu , L.-y . (2015) Unknown Input Observer Design for Takagi-Sugeno Fuzzy Stochastic System. International Journal of Control, Automation, and Systems 13(4):1003-1009. - H
ariche , K. (1987) Interpolation Theory in the Structural Analysis of λ-matrices: Chapter 3, Ph. D. Dissertation, University of Houston. - H
assan , M. F., Alrifai , M. T., Soliman , H. M.and Kourah , M. A. (2015) Observer-based controller for constrained uncertain stochastic nonlinear discrete-time systems. Int. J. Robust Nonlinear Control, 26, 10, 2090–2115. - H
e , N. (2020) Analytical tuning method of MPC controllers for MIMO first-order plus fractional dead time systems. Processes, 8, 2, 212. doi: 10.3390/pr8020212 - H
endricks , E., Jannerup , O.and Sorensen , P. H. (2008) Linear Systems Control. Deterministic and Stochastic Methods. Springer-Verlag, Berlin-Heidelberg. - J
ang , J.-S. R. (1993) ANFIS: Adaptive-Network-based Fuzzy Inference System. IEEE Trans. on Systems, Man, and Cybernetics, 23:665-685. - K
alman , R. E. (1963) Mathematical Description of Linear Systems. SIAM J. Control, 1, 152-192. - K
alman , R. E., Falb , R. L.and Arbib , M. A. (1969) Topics in Mathematical System Theory. McGraw-Hill, New York. - L
iu , Y.and Zhu , Q. (2021) Adaptive neural network asymptotic tracking control for non-strict feedback stochastic nonlinear systems. Neural Networks, 143, 283–290. - L
iu , Y. J., Sheng , J.and Ding , R. F. (2010) Convergence of stochastic gradient algorithm for multivariable ARX-like systems. Computers & Mathematics with Applications, 59 (8) 2615–2627. - L
jung , L. (1999) System Identification: Theory for the User. Prentice-Hall, Englewood Cliffs, NJ. - M
ohamed , M.and Kar , I. N. (2015) Stochastic contraction-based observer and controller design algorithm with application to a flight vehicle. International Journal of Control, 88, 11. - P
an , J. (2023) From nonlinear dominant system to linear dominant system: Virtual equivalent system approach for multiple variable self-tuning control system analysis. Entropy, 25, 1, 173. doi: 10.3390/e25010173 - P
ereira , E. (2003) Block eigenvalues and solution of differential matrix equation. Miskolc Mathematical Notes, 4, 1, 45-51. - R
ahimi Mousavi , M. S.and Boulet , B. (2016) Estimation of the State Variables and Unknown Input of a Two-Speed Electric Vehicle Driveline Using Fading-Memory Kalman Filter. IEEE Transactions on Transportation Electrification, 2, 2, 210–220, June 2016. - R
azavi , H., Merat , K., Salarieh , H., Alasty , A.and Meghdari , A. (2016) Observer based minimum variance control of uncertain piecewise affine systems subject to additive noise, Nonlinear Analysis: Hybrid Systems 19 153–167. - S
chröders , S. (2020) Two-degree-of-freedom MIMO control for hydraulic servosystems with switching properties. Control Eng. Pract., 95, 104246. - S
hieh , L. S., Bao , Y. L.and Chang , F. R. (1989) State-space self-tuning regulators for general multivariable stochastic systems. IEE Proceedings D: Control Theory and Applications, 136, 1, 17–27. - S
hieh , L. S., Chang , F.-R.and Mc Innis , B. C. (1986) The block partial fraction expansion of a matrix fraction description with repeated block poles. IEEE Trans. Automat. Control, 31:23-36. - S
hieh , L. S.and Tsay , Y. T. (1981) Transformation of solvent and spectral factors of matrix polynomial, and their applications. Internat. J. Control 34:813-823. - S
hieh , L. S.and Tsay , Y. T. (1982a) Block modal matrices and their applications to multivariable control systems. IEE Proc. D Control Theory Appl., 2:41-48. - S
hieh , L. S.and Tsay , Y. T. (1982b) Transformation of a class of multivariable control systems to block companion forms. IEEE Trans. Automat. Control 27: 199-203. - S
tevens , B. L.and Lewis , F. L. (2003) Aircraft Control and Simulation, 2nd ed. Wiley-Interscience, New York. - T
rojaola , I. (2021) An innovative MIMO iterative learning control approach for the position control of a hydraulic press. IEEE Access, 9, 146850–146867. - T
say , Y. T.and Shieh , L. S. (1981) State-space approach for self-tuning feedback control with pole assignment. IEE Proc. D, Control Theory Appl. 123, 93–101. - W
arwick , K. (1981) Self-tuning regulators –a state-space approach. Int. J. Control, 33, 839–858. - W
u , C.-Y., Tsai ,j . S.-H., Guo , S.-M., Shieh , L.-S., Canelon , J. I., Ebrahimzadeh , F.and Wang , L. A. (2014) Novel on-line observer/Kalman filter identification method and its application to input-constrained active faulttolerant tracker design for unknown stochastic systems, systems. Journal of the Franklin Institute, 352, 3, 1119–1151, March 2015. - Y
aici , M.and Hariche , K. (2014) On eigenstructure assignment using block poles placement, European Journal of Control, 20, 5, 217–226, September 2014. - Y
aici , M., Hariche , K.and Clark , T. (2014) A Contribution to the Polynomial Eigen Problem, International Journal of Mathematics, Computational, Natural and Physical Engineering, 8, 10.