Dewi, K. D. R.; Fahim, K.; Subchan, S. Application of model predictive control (MPC) to longitudinal motion of the aircraft using polynomial chaos. (English) Zbl 07814868 Nonlinear Dyn. Syst. Theory 23, No. 5, 487-498 (2023). MSC: 33C45 34H10 93C15 PDFBibTeX XMLCite \textit{K. D. R. Dewi} et al., Nonlinear Dyn. Syst. Theory 23, No. 5, 487--498 (2023; Zbl 07814868) Full Text: Link
Martin, Jérémy; Pravda-Starov, Karel Spectral inequalities for combinations of Hermite functions and null-controllability for evolution equations enjoying Gelfand-Shilov smoothing effects. (English) Zbl 1526.93013 J. Inst. Math. Jussieu 22, No. 6, 2533-2582 (2023). MSC: 93B05 93B07 42C05 35H10 33C45 PDFBibTeX XMLCite \textit{J. Martin} and \textit{K. Pravda-Starov}, J. Inst. Math. Jussieu 22, No. 6, 2533--2582 (2023; Zbl 1526.93013) Full Text: DOI arXiv
Li, Zhen; Jiang, Yao-Lin Parallel input-independent model order reduction for discrete-time parametric systems. (English) Zbl 07744924 IEEE Trans. Autom. Control 68, No. 7, 4359-4366 (2023). MSC: 93-XX PDFBibTeX XMLCite \textit{Z. Li} and \textit{Y.-L. Jiang}, IEEE Trans. Autom. Control 68, No. 7, 4359--4366 (2023; Zbl 07744924) Full Text: DOI
Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Reduced-order state-space models for two-dimensional discrete systems via bivariate discrete orthogonal polynomials. (English) Zbl 07704444 Math. Comput. Simul. 212, 441-456 (2023). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{Z.-H. Wang} et al., Math. Comput. Simul. 212, 441--456 (2023; Zbl 07704444) Full Text: DOI
Li, Zhen; Jiang, Yao-Lin Parallel model order reduction methods based on structured matrix analysis for discrete-time systems with parametric uncertainty. (English) Zbl 1518.93025 J. Comput. Appl. Math. 426, Article ID 115088, 14 p. (2023). MSC: 93B11 93C55 93C41 PDFBibTeX XMLCite \textit{Z. Li} and \textit{Y.-L. Jiang}, J. Comput. Appl. Math. 426, Article ID 115088, 14 p. (2023; Zbl 1518.93025) Full Text: DOI
Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Reduced-order modeling methods via bivariate discrete orthogonal polynomials for two-dimensional discrete state-delayed systems. (English) Zbl 1520.93063 Multidimensional Syst. Signal Process. 34, No. 1, 227-248 (2023). MSC: 93B11 65M70 PDFBibTeX XMLCite \textit{Z.-H. Wang} et al., Multidimensional Syst. Signal Process. 34, No. 1, 227--248 (2023; Zbl 1520.93063) Full Text: DOI
Dicke, Alexander; Seelmann, Albrecht; Veselić, Ivan Uncertainty principle for Hermite functions and null-controllability with sensor sets of decaying density. (English) Zbl 07657575 J. Fourier Anal. Appl. 29, No. 1, Paper No. 11, 19 p. (2023); correction ibid. 29, No. 2, Paper No. 18, 1 p. (2023). MSC: 33C45 42C05 93B05 PDFBibTeX XMLCite \textit{A. Dicke} et al., J. Fourier Anal. Appl. 29, No. 1, Paper No. 11, 19 p. (2023; Zbl 07657575) Full Text: DOI arXiv
Xu, Kang-Li; Jiang, Yao-Lin; Li, Zhen; Li, Li Model reduction of discrete time-delay systems based on Charlier polynomials and high-order Krylov subspaces. (English) Zbl 1507.93044 Linear Algebra Appl. 661, 222-246 (2023). MSC: 93B11 93C55 93B25 33C47 PDFBibTeX XMLCite \textit{K.-L. Xu} et al., Linear Algebra Appl. 661, 222--246 (2023; Zbl 1507.93044) Full Text: DOI
Masjed-Jamei, Mohammad Least p-Variances Theory. arXiv:2310.14046 Preprint, arXiv:2310.14046 [math.ST] (2023). MSC: 93E24 62J10 42C05 33C47 65F25 BibTeX Cite \textit{M. Masjed-Jamei}, ``Least p-Variances Theory'', Preprint, arXiv:2310.14046 [math.ST] (2023) Full Text: arXiv OA License
Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Discrete orthogonal polynomials reduced models based on shift-transformation and discrete Walsh functions. (English) Zbl 1498.93070 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 10, 2045-2062 (2022). MSC: 93B11 93C55 93D20 PDFBibTeX XMLCite \textit{Z.-H. Wang} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 10, 2045--2062 (2022; Zbl 1498.93070) Full Text: DOI
Ovseevich, Alexander I. A number-theoretic part of control theory. (English. Russian original) Zbl 1494.93043 Russ. Math. Surv. 77, No. 2, 369-371 (2022); translation from Usp. Mat. Nauk 77, No. 2, 195-196 (2022). MSC: 93B52 93C05 33C45 PDFBibTeX XMLCite \textit{A. I. Ovseevich}, Russ. Math. Surv. 77, No. 2, 369--371 (2022; Zbl 1494.93043); translation from Usp. Mat. Nauk 77, No. 2, 195--196 (2022) Full Text: DOI
Huang, Yi-Bo; He, Yong Bessel-type inequality in semi-inner-product spaces and its application to stability analysis of discrete-time systems with distributed delays. (English) Zbl 1510.93189 Appl. Math. Comput. 427, Article ID 127163, 17 p. (2022). MSC: 93C55 93D05 15A45 33C45 PDFBibTeX XMLCite \textit{Y.-B. Huang} and \textit{Y. He}, Appl. Math. Comput. 427, Article ID 127163, 17 p. (2022; Zbl 1510.93189) Full Text: DOI
Qi, Zhen-Zhong; Jiang, Yao-Lin; Xiao, Zhi-Hua Dimension reduction for \(k\)-power bilinear systems using orthogonal polynomials and Arnoldi algorithm. (English) Zbl 1483.93045 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 10, 2048-2063 (2021). MSC: 93B11 93C10 PDFBibTeX XMLCite \textit{Z.-Z. Qi} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 10, 2048--2063 (2021; Zbl 1483.93045) Full Text: DOI
Ovseevich, A. I. Control theory, integral matrices, and orthogonal polynomials. (English. Russian original) Zbl 1482.93243 Proc. Steklov Inst. Math. 315, 161-170 (2021); translation from Tr. Mat. Inst. Steklova 315, 172-181 (2021). MSC: 93C05 93D15 93D40 33C45 PDFBibTeX XMLCite \textit{A. I. Ovseevich}, Proc. Steklov Inst. Math. 315, 161--170 (2021; Zbl 1482.93243); translation from Tr. Mat. Inst. Steklova 315, 172--181 (2021) Full Text: DOI
Othmane, Amine; Rudolph, Joachim; Mounier, Hugues Systematic comparison of numerical differentiators and an application to model-free control. (English) Zbl 1480.93418 Eur. J. Control 62, 113-119 (2021). MSC: 93E10 93E11 93C80 PDFBibTeX XMLCite \textit{A. Othmane} et al., Eur. J. Control 62, 113--119 (2021; Zbl 1480.93418) Full Text: DOI
Nobile, Fabio; Pradovera, Davide Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates. (English) Zbl 1528.65117 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1895-1920 (2021). MSC: 65N30 65K10 90C59 42C10 35J05 35B30 35P15 41A20 93B11 PDFBibTeX XMLCite \textit{F. Nobile} and \textit{D. Pradovera}, ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1895--1920 (2021; Zbl 1528.65117) Full Text: DOI arXiv
Beauchard, Karine; Jaming, Philippe; Pravda-Starov, Karel Spectral estimates for finite combinations of Hermite functions and null-controllability of hypoelliptic quadratic equations. (English) Zbl 1467.93030 Stud. Math. 260, No. 1, 1-43 (2021). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 93B05 33C45 93C20 35H10 PDFBibTeX XMLCite \textit{K. Beauchard} et al., Stud. Math. 260, No. 1, 1--43 (2021; Zbl 1467.93030) Full Text: DOI arXiv
Ovseevich, Alexander; Ananievski, Igor Robust feedback control for a linear chain of oscillators. (English) Zbl 1464.49020 J. Optim. Theory Appl. 188, No. 1, 307-316 (2021). Reviewer: Savin Treanta (Bucureşti) MSC: 49N05 49N35 49K99 93D15 PDFBibTeX XMLCite \textit{A. Ovseevich} and \textit{I. Ananievski}, J. Optim. Theory Appl. 188, No. 1, 307--316 (2021; Zbl 1464.49020) Full Text: DOI
Abdullah, Muhammad; Rossiter, John Anthony Using Laguerre functions to improve the tuning and performance of predictive functional control. (English) Zbl 1458.93065 Int. J. Control 94, No. 1, 202-214 (2021). MSC: 93B45 33C45 PDFBibTeX XMLCite \textit{M. Abdullah} and \textit{J. A. Rossiter}, Int. J. Control 94, No. 1, 202--214 (2021; Zbl 1458.93065) Full Text: DOI Link
Ławryńczuk, Maciej Nonlinear model predictive control for processes with complex dynamics: a parameterisation approach using Laguerre functions. (English) Zbl 1461.93128 Int. J. Appl. Math. Comput. Sci. 30, No. 1, 35-46 (2020). MSC: 93B45 93C10 33C45 PDFBibTeX XMLCite \textit{M. Ławryńczuk}, Int. J. Appl. Math. Comput. Sci. 30, No. 1, 35--46 (2020; Zbl 1461.93128) Full Text: DOI
Wang, Xiaolong; Jiang, Yaolin Time domain model reduction of time-delay systems via orthogonal polynomial expansions. (English) Zbl 1433.93024 Appl. Math. Comput. 369, Article ID 124816, 11 p. (2020). MSC: 93B11 33C45 42C05 33C47 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Y. Jiang}, Appl. Math. Comput. 369, Article ID 124816, 11 p. (2020; Zbl 1433.93024) Full Text: DOI
Liu, Kun; Seuret, Alexandre; Xia, Yuanqing; Gouaisbaut, Frédéric; Ariba, Yassine Bessel-Laguerre inequality and its application to systems with infinite distributed delays. (English) Zbl 1429.93212 Automatica 109, Article ID 108562, 7 p. (2019). MSC: 93C43 93D05 93C05 33C45 PDFBibTeX XMLCite \textit{K. Liu} et al., Automatica 109, Article ID 108562, 7 p. (2019; Zbl 1429.93212) Full Text: DOI
Gong, Deren; Wang, Xiaoliang; Wu, Shufan; Zhu, Xiaodan Discrete Legendre polynomials-based inequality for stability of time-varying delayed systems. (English) Zbl 1423.93288 J. Franklin Inst. 356, No. 16, 9907-9927 (2019). MSC: 93D05 42C10 PDFBibTeX XMLCite \textit{D. Gong} et al., J. Franklin Inst. 356, No. 16, 9907--9927 (2019; Zbl 1423.93288) Full Text: DOI
Xiao, Zhi-Hua; Jiang, Yao-Lin; Qi, Zhen-Zhong Finite-time balanced truncation for linear systems via shifted Legendre polynomials. (English) Zbl 1425.93067 Syst. Control Lett. 126, 48-57 (2019). MSC: 93B11 93A15 93D05 93C05 42C10 PDFBibTeX XMLCite \textit{Z.-H. Xiao} et al., Syst. Control Lett. 126, 48--57 (2019; Zbl 1425.93067) Full Text: DOI
Martínez, Noé; Garza, Luis E.; Aguirre-Hernández, Baltazar On sequences of Hurwitz polynomials related to orthogonal polynomials. (English) Zbl 1425.42029 Linear Multilinear Algebra 67, No. 11, 2191-2208 (2019). Reviewer: Pierluigi Vellucci (Roma) MSC: 42C05 93D20 PDFBibTeX XMLCite \textit{N. Martínez} et al., Linear Multilinear Algebra 67, No. 11, 2191--2208 (2019; Zbl 1425.42029) Full Text: DOI
Lee, Seok Young; Park, Junmin; Park, Poogyeon Bessel summation inequalities for stability analysis of discrete-time systems with time-varying delays. (English) Zbl 1411.93142 Int. J. Robust Nonlinear Control 29, No. 2, 473-491 (2019). MSC: 93D09 93C55 PDFBibTeX XMLCite \textit{S. Y. Lee} et al., Int. J. Robust Nonlinear Control 29, No. 2, 473--491 (2019; Zbl 1411.93142) Full Text: DOI
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany Correction to: “On the stability and accuracy of least squares approximations”. (English) Zbl 1407.93436 Found. Comput. Math. 19, No. 1, 239 (2019). MSC: 93E24 62J05 65D10 42A10 42C05 PDFBibTeX XMLCite \textit{A. Cohen} et al., Found. Comput. Math. 19, No. 1, 239 (2019; Zbl 1407.93436) Full Text: DOI
Rybin, Vladimir Vasil’evich The description and analysis of non-stationary continuous control systems in the spectral range in non-orthogonal functions. Orthorecursive approach. (Russian. English summary) Zbl 1409.93031 Differ. Uravn. Protsessy Upr. 2018, No. 4, 18-40 (2018). MSC: 93C05 42C10 93C15 93C25 93B40 PDFBibTeX XMLCite \textit{V. V. Rybin}, Differ. Uravn. Protsessy Upr. 2018, No. 4, 18--40 (2018; Zbl 1409.93031) Full Text: Link
Ushirobira, Rosane Algebraic differentiators through orthogonal polynomials series expansions. (English) Zbl 1401.93069 Int. J. Control 91, No. 9, 2082-2089 (2018). MSC: 93B25 65D25 93C15 33C45 PDFBibTeX XMLCite \textit{R. Ushirobira}, Int. J. Control 91, No. 9, 2082--2089 (2018; Zbl 1401.93069) Full Text: DOI
Luo, Xue; Yau, Stephen S.-T. The suboptimal method via probabilists’ Hermite polynomials to solve nonlinear filtering problems. (English) Zbl 1400.93303 Automatica 94, 9-17 (2018). MSC: 93E11 93E10 93C10 33C45 PDFBibTeX XMLCite \textit{X. Luo} and \textit{S. S. T. Yau}, Automatica 94, 9--17 (2018; Zbl 1400.93303) Full Text: DOI
Yuan, Jia-Wei; Jiang, Yao-Lin A parameterised model order reduction method for parametric systems based on Laguerre polynomials. (English) Zbl 1397.93041 Int. J. Control 91, No. 8, 1861-1872 (2018). MSC: 93B11 33C45 93C15 93-04 PDFBibTeX XMLCite \textit{J.-W. Yuan} and \textit{Y.-L. Jiang}, Int. J. Control 91, No. 8, 1861--1872 (2018; Zbl 1397.93041) Full Text: DOI
Zhang, Xian; Shang, Wanzhen; Wang, Yantao WDOP-based summation inequality and its application to exponential stability of linear delay difference systems. (English) Zbl 1390.93677 Asian J. Control 20, No. 2, 746-754 (2018). MSC: 93D20 93C05 65F25 93C55 PDFBibTeX XMLCite \textit{X. Zhang} et al., Asian J. Control 20, No. 2, 746--754 (2018; Zbl 1390.93677) Full Text: DOI
Lee, Seok Young; Lee, Won Il; Park, PooGyeon Orthogonal-polynomials-based integral inequality and its applications to systems with additive time-varying delays. (English) Zbl 1380.93223 J. Franklin Inst. 355, No. 1, 421-435 (2018). MSC: 93D99 93B40 PDFBibTeX XMLCite \textit{S. Y. Lee} et al., J. Franklin Inst. 355, No. 1, 421--435 (2018; Zbl 1380.93223) Full Text: DOI
Damarla, Seshu Kumar; Kundu, Madhusree Novel hybrid function operational matrices of fractional integration: An application for solving multi-order fractional differential equations. arXiv:1801.06973 Preprint, arXiv:1801.06973 [math.NA] (2018). MSC: 26A33 42C05 93C15 74H15 BibTeX Cite \textit{S. K. Damarla} and \textit{M. Kundu}, ``Novel hybrid function operational matrices of fractional integration: An application for solving multi-order fractional differential equations'', Preprint, arXiv:1801.06973 [math.NA] (2018) Full Text: arXiv OA License
Damarla, Seshu Kumar; Kundu, Madhusree New orthogonal hybrid function based numerical method to solve system of fractional order differential equations. arXiv:1801.06972 Preprint, arXiv:1801.06972 [math.NA] (2018). MSC: 26A33 42C05 93C15 74H15 BibTeX Cite \textit{S. K. Damarla} and \textit{M. Kundu}, ``New orthogonal hybrid function based numerical method to solve system of fractional order differential equations'', Preprint, arXiv:1801.06972 [math.NA] (2018) Full Text: arXiv OA License
Choque-Rivero, Abdon E. The Kharitonov theorem and robust stabilization via orthogonal polynomials. (English) Zbl 1399.34179 Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 86, 49-68 (2017). MSC: 34H15 42C05 26C10 93D21 PDFBibTeX XMLCite \textit{A. E. Choque-Rivero}, Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 86, 49--68 (2017; Zbl 1399.34179) Full Text: Link
Shang, Wanzhen; Zhang, Xian Exponential stability analysis of linear delayed discrete-time systems: a weighted discrete orthogonal polynomials-based approach. (English) Zbl 1399.93162 J. Nat. Sci. Heilongjiang Univ. 34, No. 4, 397-403 (2017). MSC: 93C55 93C05 93D20 PDFBibTeX XMLCite \textit{W. Shang} and \textit{X. Zhang}, J. Nat. Sci. Heilongjiang Univ. 34, No. 4, 397--403 (2017; Zbl 1399.93162) Full Text: DOI
Seshadri, Pranay; Narayan, Akil; Mahadevan, Sankaran Effectively subsampled quadratures for least squares polynomial approximations. (English) Zbl 1384.93159 SIAM/ASA J. Uncertain. Quantif. 5, 1003-1023 (2017). MSC: 93C57 93B40 41A55 33C45 PDFBibTeX XMLCite \textit{P. Seshadri} et al., SIAM/ASA J. Uncertain. Quantif. 5, 1003--1023 (2017; Zbl 1384.93159) Full Text: DOI arXiv
Safi, Mohammed; Baudouin, Lucie; Seuret, Alexandre Tractable sufficient stability conditions for a system coupling linear transport and differential equations. (English) Zbl 1378.93097 Syst. Control Lett. 110, 1-8 (2017). MSC: 93D05 93D20 93C15 93C20 93D30 42C10 PDFBibTeX XMLCite \textit{M. Safi} et al., Syst. Control Lett. 110, 1--8 (2017; Zbl 1378.93097) Full Text: DOI HAL
Li, Ning; Chen, Lifu; Xiang, Dehua; Tan, Wen; Xiao, Hongguang A study of numerical integration based on Legendre polynomial and RLS algorithm. (English) Zbl 1386.65080 Numer. Algebra Control Optim. 7, No. 4, 457-464 (2017). MSC: 65D10 65D30 42C10 93E24 PDFBibTeX XMLCite \textit{N. Li} et al., Numer. Algebra Control Optim. 7, No. 4, 457--464 (2017; Zbl 1386.65080) Full Text: DOI
Gong, Cheng; Zhang, Xian; Wu, Ligang Multiple-integral inequalities to stability analysis of linear time-delay systems. (English) Zbl 1355.93170 J. Franklin Inst. 354, No. 3, 1446-1463 (2017). MSC: 93D99 93C05 PDFBibTeX XMLCite \textit{C. Gong} et al., J. Franklin Inst. 354, No. 3, 1446--1463 (2017; Zbl 1355.93170) Full Text: DOI
Milovanović, Miroslav B.; Antić, Dragan S.; Milojković, Marko T.; Nikolić, Saša S.; Perić, Staniša Lj.; Spasić, Miodrag D. Adaptive PID control based on orthogonal endocrine neural networks. (English) Zbl 1429.93183 Neural Netw. 84, 80-90 (2016). MSC: 93C40 92B20 93B70 93C30 93C20 PDFBibTeX XMLCite \textit{M. B. Milovanović} et al., Neural Netw. 84, 80--90 (2016; Zbl 1429.93183) Full Text: DOI
Getmanov, V. G. Evaluation of spline functions for digital filtering problems. (English. Russian original) Zbl 1384.93151 J. Comput. Syst. Sci. Int. 55, No. 5, 725-734 (2016); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2016, No. 5, 34-46 (2016). MSC: 93E11 93E10 65D07 PDFBibTeX XMLCite \textit{V. G. Getmanov}, J. Comput. Syst. Sci. Int. 55, No. 5, 725--734 (2016; Zbl 1384.93151); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2016, No. 5, 34--46 (2016) Full Text: DOI
Zhang, Xian; Tan, Julong; Gao, Xiangyu; Lv, Jianting A DOPs-based summation inequality and its application to stability analysis of linear delayed discrete-time systems. (English) Zbl 1389.26057 J. Nat. Sci. Heilongjiang Univ. 33, No. 6, 701-707 (2016). MSC: 26D15 93D05 93C05 93C55 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Nat. Sci. Heilongjiang Univ. 33, No. 6, 701--707 (2016; Zbl 1389.26057) Full Text: DOI
Xiao, Zhi-Hua; Jiang, Yao-Lin Model order reduction of MIMO bilinear systems by multi-order Arnoldi method. (English) Zbl 1344.93025 Syst. Control Lett. 94, 1-10 (2016). MSC: 93B11 93C35 93B40 PDFBibTeX XMLCite \textit{Z.-H. Xiao} and \textit{Y.-L. Jiang}, Syst. Control Lett. 94, 1--10 (2016; Zbl 1344.93025) Full Text: DOI
Qi, Zhen-Zhong; Jiang, Yao-Lin; Xiao, Zhi-Hua Time domain model order reduction using general orthogonal polynomials for K-power bilinear systems. (English) Zbl 1338.93095 Int. J. Control 89, No. 5, 1065-1078 (2016). MSC: 93B11 93C10 93C15 PDFBibTeX XMLCite \textit{Z.-Z. Qi} et al., Int. J. Control 89, No. 5, 1065--1078 (2016; Zbl 1338.93095) Full Text: DOI
Lin, Chih-Hong Composite recurrent Laguerre orthogonal polynomials neural network dynamic control for continuously variable transmission system using altered particle swarm optimization. (English) Zbl 1348.93212 Nonlinear Dyn. 81, No. 3, 1219-1245 (2015). MSC: 93D05 92B20 33C45 PDFBibTeX XMLCite \textit{C.-H. Lin}, Nonlinear Dyn. 81, No. 3, 1219--1245 (2015; Zbl 1348.93212) Full Text: DOI
Vladimirov, Igor G. A stochastic density matrix approach to approximation of probability distributions and its application to nonlinear systems. arXiv:1506.04775 Preprint, arXiv:1506.04775 [math.PR] (2015). MSC: 62E17 93E03 60J60 35Q84 42B37 42C05 65K10 93B40 BibTeX Cite \textit{I. G. Vladimirov}, ``A stochastic density matrix approach to approximation of probability distributions and its application to nonlinear systems'', Preprint, arXiv:1506.04775 [math.PR] (2015) Full Text: DOI arXiv OA License
Xiao, Zhi-Hua; Jiang, Yao-Lin Dimension reduction for second-order systems by general orthogonal polynomials. (English) Zbl 1298.93100 Math. Comput. Model. Dyn. Syst. 20, No. 4, 414-432 (2014). MSC: 93B11 93C15 93A15 65L07 PDFBibTeX XMLCite \textit{Z.-H. Xiao} and \textit{Y.-L. Jiang}, Math. Comput. Model. Dyn. Syst. 20, No. 4, 414--432 (2014; Zbl 1298.93100) Full Text: DOI
Qi, Zhen-Zhong; Jiang, Yao-Lin; Xiao, Zhi-Hua Model order reduction based on general orthogonal polynomials in the time domain for coupled systems. (English) Zbl 1291.93062 J. Franklin Inst. 351, No. 6, 3200-3214 (2014). MSC: 93B11 93D99 PDFBibTeX XMLCite \textit{Z.-Z. Qi} et al., J. Franklin Inst. 351, No. 6, 3200--3214 (2014; Zbl 1291.93062) Full Text: DOI
Alipour, Mohsen; Rostamy, Davood; Baleanu, Dumitru Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices. (English) Zbl 1358.93097 J. Vib. Control 19, No. 16, 2523-2540 (2013). MSC: 93C23 26A33 33C45 PDFBibTeX XMLCite \textit{M. Alipour} et al., J. Vib. Control 19, No. 16, 2523--2540 (2013; Zbl 1358.93097) Full Text: DOI
Almeida, Ricardo; Khosravian-Arab, Hassan; Shamsi, Mostafa A generalized fractional variational problem depending on indefinite integrals: Euler-Lagrange equation and numerical solution. (English) Zbl 1358.93098 J. Vib. Control 19, No. 14, 2177-2186 (2013). MSC: 93C23 26A33 70G75 33C45 PDFBibTeX XMLCite \textit{R. Almeida} et al., J. Vib. Control 19, No. 14, 2177--2186 (2013; Zbl 1358.93098) Full Text: DOI
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany On the stability and accuracy of least squares approximations. (English) Zbl 1276.93086 Found. Comput. Math. 13, No. 5, 819-834 (2013). MSC: 93E24 62J05 65D10 42A10 42C05 PDFBibTeX XMLCite \textit{A. Cohen} et al., Found. Comput. Math. 13, No. 5, 819--834 (2013; Zbl 1276.93086) Full Text: DOI arXiv
Saadatmandi, Abbas; Dehghan, Mehdi A method based on the tau approach for the identification of a time-dependent coefficient in the heat equation subject to an extra measurement. (English) Zbl 1428.93039 J. Vib. Control 18, No. 8, 1125-1132 (2012). MSC: 93B30 42C10 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{M. Dehghan}, J. Vib. Control 18, No. 8, 1125--1132 (2012; Zbl 1428.93039) Full Text: DOI
Dankers, Arne G.; Westwick, David T. On the relationship between the enforced convergence criterion and the asymptotically optimal Laguerre pole. (English) Zbl 1369.93223 IEEE Trans. Autom. Control 57, No. 5, 1102-1109 (2012). MSC: 93B55 30C15 33C45 PDFBibTeX XMLCite \textit{A. G. Dankers} and \textit{D. T. Westwick}, IEEE Trans. Autom. Control 57, No. 5, 1102--1109 (2012; Zbl 1369.93223) Full Text: DOI
Jiang, Yao-Lin; Chen, Hai-Bao Time domain model order reduction of general orthogonal polynomials for linear input-output systems. (English) Zbl 1369.93117 IEEE Trans. Autom. Control 57, No. 2, 330-343 (2012). MSC: 93B11 33C45 93C05 94A11 PDFBibTeX XMLCite \textit{Y.-L. Jiang} and \textit{H.-B. Chen}, IEEE Trans. Autom. Control 57, No. 2, 330--343 (2012; Zbl 1369.93117) Full Text: DOI
Števek, Juraj; Szűcs, Alexander; Kvasnica, Michal; Fikar, Miroslav; Kozák, Štefan Two steps piecewise affine identification of nonlinear systems. (English) Zbl 1270.93038 Arch. Control Sci. 22, No. 4, 371-388 (2012). MSC: 93B30 93B15 93C10 93C35 PDFBibTeX XMLCite \textit{J. Števek} et al., Arch. Control Sci. 22, No. 4, 371--388 (2012; Zbl 1270.93038)
Schipp, Ferenc; Soumelidis, Alexandros Eigenvalues of matrices and discrete Laguerre-Fourier coefficients. (English) Zbl 1289.15019 Math. Pannonica 23, No. 1, 147-155 (2012). MSC: 15A18 33C45 51M10 65F15 93B30 PDFBibTeX XMLCite \textit{F. Schipp} and \textit{A. Soumelidis}, Math. Pannonica 23, No. 1, 147--155 (2012; Zbl 1289.15019)
Deb, Anish; Sarkar, Gautam; Sengupta, Anindita Triangular orthogonal functions for the analysis of continuous time systems. (English) Zbl 1360.33001 London: Anthem Press (ISBN 978-0-85728-999-5/hbk). xii, 156 p. (2011). MSC: 33-02 33C47 93B40 PDFBibTeX XMLCite \textit{A. Deb} et al., Triangular orthogonal functions for the analysis of continuous time systems. London: Anthem Press (2011; Zbl 1360.33001)
Sayem, H.; Benhadj Braiek, N.; Hammouri, H. Trajectory planning and tracking of bilinear systems using orthogonal functions. (English) Zbl 1214.42049 Nonlinear Dyn. Syst. Theory 10, No. 3, 295-304 (2010). MSC: 42C05 05E05 93B52 93C10 PDFBibTeX XMLCite \textit{H. Sayem} et al., Nonlinear Dyn. Syst. Theory 10, No. 3, 295--304 (2010; Zbl 1214.42049)
Milojković, Marko; Nikolić, Saša; Danković, Bratislav; Antić, Dragan; Jovanović, Zoran Modelling of dynamical systems based on almost orthogonal polynomials. (English) Zbl 1200.93015 Math. Comput. Model. Dyn. Syst. 16, No. 2, 133-144 (2010). MSC: 93A30 42C05 PDFBibTeX XMLCite \textit{M. Milojković} et al., Math. Comput. Model. Dyn. Syst. 16, No. 2, 133--144 (2010; Zbl 1200.93015) Full Text: DOI Link
Wang, Hongwei; Yu, Shuanghe Robust adaptive synchronization of chaotic systems based on Chebyshev orthogonal function neural network. (Chinese. English summary) Zbl 1212.93179 Control Theory Appl. 26, No. 10, 1100-1104 (2009). MSC: 93C40 37D45 93D05 PDFBibTeX XMLCite \textit{H. Wang} and \textit{S. Yu}, Control Theory Appl. 26, No. 10, 1100--1104 (2009; Zbl 1212.93179)
Razzaghi, Mohsen Solution of multi-delay systems via combined block-pulse functions and Legendre polynomials. (English) Zbl 1194.34123 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 17, No. 3, 223-232 (2009). MSC: 34K06 65Q20 93C23 92B20 PDFBibTeX XMLCite \textit{M. Razzaghi}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 17, No. 3, 223--232 (2009; Zbl 1194.34123) Full Text: EuDML
Karimi, Hamid Reza; Zapateiro, Mauricio; Luo, Ningsu Wavelet-based parameter identification of a nonlinear magnetorheological damper. (English) Zbl 1170.93324 Int. J. Wavelets Multiresolut. Inf. Process. 7, No. 2, 183-198 (2009). MSC: 93C10 42C05 93B40 93B30 42C40 PDFBibTeX XMLCite \textit{H. R. Karimi} et al., Int. J. Wavelets Multiresolut. Inf. Process. 7, No. 2, 183--198 (2009; Zbl 1170.93324) Full Text: DOI
Alipanah, Amjad; Dehghan, Mehdi Solution of population balance equations via rationalized Haar functions. (English) Zbl 1183.93075 Kybernetes 37, No. 8, 1189-1196 (2008). MSC: 93C15 92D25 42C10 93B40 PDFBibTeX XMLCite \textit{A. Alipanah} and \textit{M. Dehghan}, Kybernetes 37, No. 8, 1189--1196 (2008; Zbl 1183.93075) Full Text: DOI
Marzban, H. R.; Razzaghi, M.; Shafiee, M. Analysis of time-varying singular bilinear systems by hybrid functions. (English) Zbl 1168.93339 Int. J. Syst. Sci. 39, No. 3, 229-235 (2008). MSC: 93B40 PDFBibTeX XMLCite \textit{H. R. Marzban} et al., Int. J. Syst. Sci. 39, No. 3, 229--235 (2008; Zbl 1168.93339) Full Text: DOI
Deng, Mingcong; Inoue, Akira Networked nonlinear control for an aluminum plate thermal process with time-delays. (English) Zbl 1168.93014 Int. J. Syst. Sci. 39, No. 11, 1075-1080 (2008). MSC: 93C10 90B30 93A14 33C45 PDFBibTeX XMLCite \textit{M. Deng} and \textit{A. Inoue}, Int. J. Syst. Sci. 39, No. 11, 1075--1080 (2008; Zbl 1168.93014) Full Text: DOI
Deb, Anish; Sarkar, Gautam; Biswas, Amitava; Mandal, Priyaranjan Numerical instability of deconvolution operation via block pulse functions. (English) Zbl 1151.93012 J. Franklin Inst. 345, No. 4, 319-327 (2008). MSC: 93B30 42C10 PDFBibTeX XMLCite \textit{A. Deb} et al., J. Franklin Inst. 345, No. 4, 319--327 (2008; Zbl 1151.93012) Full Text: DOI
Eisinberg, Alfredo; Fedele, Giuseppe Discrete orthogonal polynomials on equidistant nodes. (English) Zbl 1203.42035 Int. Math. Forum 2, No. 21-24, 1007-1020 (2007). MSC: 42C05 33C45 39A12 93E24 PDFBibTeX XMLCite \textit{A. Eisinberg} and \textit{G. Fedele}, Int. Math. Forum 2, No. 21--24, 1007--1020 (2007; Zbl 1203.42035) Full Text: DOI Link
Bokhari, M. A. On Hermite interpolating \(L_2\)-approximants. (English) Zbl 1194.05167 Dyn. Syst. Appl. 16, No. 2, 203-216 (2007). MSC: 05E18 41A29 42C05 65D05 93E24 PDFBibTeX XMLCite \textit{M. A. Bokhari}, Dyn. Syst. Appl. 16, No. 2, 203--216 (2007; Zbl 1194.05167)
Aoun, M.; Malti, R.; Levron, F.; Oustaloup, A. Synthesis of fractional Laguerre basis for system approximation. (English) Zbl 1128.93019 Automatica 43, No. 9, 1640-1648 (2007). MSC: 93B50 93B30 26A33 33C45 PDFBibTeX XMLCite \textit{M. Aoun} et al., Automatica 43, No. 9, 1640--1648 (2007; Zbl 1128.93019) Full Text: DOI HAL
Hu, Jianghai; Prandini, Maria; Tomlin, Claire Conjugate points in formation constrained optimal multi-agent coordination: a case study. (English) Zbl 1126.93041 SIAM J. Control Optim. 45, No. 6, 2119-2137 (2007). MSC: 93C85 53C22 58E25 05E35 PDFBibTeX XMLCite \textit{J. Hu} et al., SIAM J. Control Optim. 45, No. 6, 2119--2137 (2007; Zbl 1126.93041) Full Text: DOI
Barcenas, D.; Leiva, H.; Quintana, Y.; Urbina, W. Controllability of Laguerre and Jacobi equations. (English) Zbl 1133.93007 Int. J. Control 80, No. 8, 1307-1315 (2007). MSC: 93B05 93C20 93C05 PDFBibTeX XMLCite \textit{D. Barcenas} et al., Int. J. Control 80, No. 8, 1307--1315 (2007; Zbl 1133.93007) Full Text: DOI arXiv
Dong, Xueping; Wang, Zhiquan Predictive control for time-discrete distributed parameter systems based on model approximation. (Chinese. English summary) Zbl 1221.93166 Syst. Eng. Electron. 28, No. 9, 1394-1397 (2006). MSC: 93C55 93B40 PDFBibTeX XMLCite \textit{X. Dong} and \textit{Z. Wang}, Syst. Eng. Electron. 28, No. 9, 1394--1397 (2006; Zbl 1221.93166)
Deutscher, Joachim; Bäuml, Markus Design of nonlinear observers with approximately linear error dynamics using multivariable Legendre polynomials. (English) Zbl 1176.93028 Int. J. Robust Nonlinear Control 16, No. 15, 709-727 (2006). MSC: 93B51 93B07 93B18 42C10 PDFBibTeX XMLCite \textit{J. Deutscher} and \textit{M. Bäuml}, Int. J. Robust Nonlinear Control 16, No. 15, 709--727 (2006; Zbl 1176.93028) Full Text: DOI
Gohberg, I.; Haimovici, I.; Kaashoek, M. A.; Lerer, L. The Bezout integral operator: main property and underlying abstract scheme. (English) Zbl 1112.47022 Alpay, Daniel (ed.) et al., The state space method generalizations and applications. Basel: Birkhäuser (ISBN 3-7643-7370-9/hbk). Operator Theory: Advances and Applications 161, 225-270 (2006). Reviewer: Leiba Rodman (Williamsburg) MSC: 47B35 45E10 30D20 33C47 42C05 93B15 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Oper. Theory: Adv. Appl. 161, 225--270 (2006; Zbl 1112.47022)
Mohan, B. M.; Kar, S. K. Comments on: “Optimal control via Fourier series of operational matrix of integration” by Y. Endow. (English) Zbl 1365.49029 IEEE Trans. Autom. Control 50, No. 9, 1466-1467 (2005). MSC: 49M30 93B40 42C10 93B50 PDFBibTeX XMLCite \textit{B. M. Mohan} and \textit{S. K. Kar}, IEEE Trans. Autom. Control 50, No. 9, 1466--1467 (2005; Zbl 1365.49029) Full Text: DOI
Zelkin, E. G.; Kravchenko, V. F.; Gusevskiĭ, V. I. Constructive approximation methods in antenna theory. (Конструктивные методы аппроксимации в теории антенн.) (Russian) Zbl 1292.93002 Moscow: Izd. Sains-Press (ISBN 5-94818-027-1). 512 p. (2005). MSC: 93-02 94-02 93C30 94A12 PDFBibTeX XMLCite \textit{E. G. Zelkin} et al., Конструктивные методы аппроксимации в теории антенн (Russian). Moscow: Izd. Sains-Press (2005; Zbl 1292.93002)
Qiu, Li What can Routh table offer in addition to stability? (English) Zbl 1260.33003 J. Control Theory Appl. 1, No. 1, 9-16 (2003). MSC: 33D45 47B35 93B52 PDFBibTeX XMLCite \textit{L. Qiu}, J. Control Theory Appl. 1, No. 1, 9--16 (2003; Zbl 1260.33003) Full Text: DOI
Woerdeman, Hugo J.; Geronimo, Jeffrey S.; Castro, Glaysar A numerical algorithm for stable 2D autoregressive filter design. (English) Zbl 1144.94316 Signal Process. 83, No. 6, 1299-1308 (2003). MSC: 94A11 93E11 42C05 15B48 42B05 47A57 47A20 60G25 60G10 PDFBibTeX XMLCite \textit{H. J. Woerdeman} et al., Signal Process. 83, No. 6, 1299--1308 (2003; Zbl 1144.94316) Full Text: DOI
Khan, Ishtiaq Rasool; Ohba, Ryoji Chebyshev functions-based new designs of halfband low/highpass quasi-equiripple FIR digital filters. (English) Zbl 1066.94509 EURASIP J. Appl. Signal Process. 2003, No. 3, 312-316 (2003). MSC: 94A12 93E11 33C45 PDFBibTeX XMLCite \textit{I. R. Khan} and \textit{R. Ohba}, EURASIP J. Appl. Signal Process. 2003, No. 3, 312--316 (2003; Zbl 1066.94509) Full Text: DOI
Masnadi-Shirazi, M. A.; Aleshams, M. Laguerre discrete-time filter design. (English) Zbl 1043.94519 Comput. Electr. Eng. 29, No. 1, 173-192 (2003). MSC: 94A12 93E11 93C62 33C45 PDFBibTeX XMLCite \textit{M. A. Masnadi-Shirazi} and \textit{M. Aleshams}, Comput. Electr. Eng. 29, No. 1, 173--192 (2003; Zbl 1043.94519) Full Text: DOI
Ey, Kristine; Ruffing, Andreas Fixing the ladder operators on two types of Hermite functions. (English) Zbl 1055.39032 Dyn. Syst. Appl. 12, No. 1-2, 115-129 (2003). Reviewer: S. Ahmad Ali (Lucknow) MSC: 39A13 39A70 33D45 47B39 93C70 PDFBibTeX XMLCite \textit{K. Ey} and \textit{A. Ruffing}, Dyn. Syst. Appl. 12, No. 1--2, 115--129 (2003; Zbl 1055.39032)
Wahlberg, Bo Orthogonal rational functions: A transformation analysis. (English) Zbl 1032.42029 SIAM Rev. 45, No. 4, 689-705 (2003). MSC: 42C05 93C80 94A05 42C20 33C45 93A30 65F25 PDFBibTeX XMLCite \textit{B. Wahlberg}, SIAM Rev. 45, No. 4, 689--705 (2003; Zbl 1032.42029) Full Text: DOI
Bultheel, A.; Carrette, P. Algebraic and spectral properties of general Toeplitz matrices. (English) Zbl 1042.42014 SIAM J. Control Optimization 41, No. 5, 1413-1439 (2003). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 42C15 47B35 93E12 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{P. Carrette}, SIAM J. Control Optim. 41, No. 5, 1413--1439 (2003; Zbl 1042.42014) Full Text: DOI
Wu, Bin; Zhong, Yi Sheng Multidimensional piecewise general orthogonal polynomials operator and its applications to parameter identification of distributed parameter systems. (Chinese. English summary) Zbl 1498.42044 Control Decis. 17, No. 4, 397-401 (2002). MSC: 42C05 93B30 PDFBibTeX XMLCite \textit{B. Wu} and \textit{Y. S. Zhong}, Control Decis. 17, No. 4, 397--401 (2002; Zbl 1498.42044)
de Hoog, Thomas J.; Szabó, Zoltán; Heuberger, Peter S. C.; Van den Hof, Paul M. J.; Bokor, József Minimal partial realization from generalized orthonormal basis function expansions. (English) Zbl 1005.93010 Automatica 38, No. 4, 655-669 (2002). Reviewer: Dmitriy Kalyuzhniy-Verbovetzky (Rehovot) MSC: 93B15 93B20 42C10 30E05 93B11 93B30 PDFBibTeX XMLCite \textit{T. J. de Hoog} et al., Automatica 38, No. 4, 655--669 (2002; Zbl 1005.93010) Full Text: DOI
Akçay, Hüseyin Synthesis of complete rational orthonormal bases with prescribed asymptotic order. (English) Zbl 0981.93015 Automatica 37, No. 4, 559-564 (2001). Reviewer: Radu Balan (Princeton) MSC: 93B30 42C05 93B40 33C45 PDFBibTeX XMLCite \textit{H. Akçay}, Automatica 37, No. 4, 559--564 (2001; Zbl 0981.93015) Full Text: DOI
Szabó, Zoltán; Heuberger, Peter S. C.; Bokor, József; Van den Hof, Paul M. J. Extended Ho-Kalman algorithm for systems represented in generalized orthonormal bases. (English) Zbl 0968.93017 Automatica 36, No. 12, 1809-1818 (2000). Reviewer: Johannes W.Nieuwenhuis (Groningen) MSC: 93B20 33C45 93C55 42C10 PDFBibTeX XMLCite \textit{Z. Szabó} et al., Automatica 36, No. 12, 1809--1818 (2000; Zbl 0968.93017) Full Text: DOI
Jones, William B.; Petersen, Vigdis Continued fractions and Szegö polynomials in frequency analysis and related topics. (English) Zbl 0976.30002 Acta Appl. Math. 61, No. 1-3, 149-174 (2000). Reviewer: L.Lorentzen (Trondheim) MSC: 30B70 33C45 93E11 PDFBibTeX XMLCite \textit{W. B. Jones} and \textit{V. Petersen}, Acta Appl. Math. 61, No. 1--3, 149--174 (2000; Zbl 0976.30002) Full Text: DOI
Zeng, Jianping; Cheng, Peng; Wu, Bin On the existence of a unique solution to system approximation based on general orthogonal polynomials. (Chinese. English summary) Zbl 0961.93021 Control Theory Appl. 17, No. 2, 270-272 (2000). Reviewer: Jihong Dou (Xian) MSC: 93C05 93B17 PDFBibTeX XMLCite \textit{J. Zeng} et al., Control Theory Appl. 17, No. 2, 270--272 (2000; Zbl 0961.93021)
Mejhed, H.; Makoudi, M.; Radouane, L. Robust direct adaptive predictive control based on Laguerre series representation. (English) Zbl 0962.93037 Syst. Anal. Modelling Simulation 37, No. 2, 203-219 (2000). Reviewer: Ingmar Randvee (Tallinn) MSC: 93B51 33C45 PDFBibTeX XMLCite \textit{H. Mejhed} et al., Syst. Anal. Modell. Simul. 37, No. 2, 203--219 (2000; Zbl 0962.93037)
Elaydi, Saber N. An introduction to difference equations. 2nd ed. (English) Zbl 0930.39001 Undergraduate Texts in Mathematics. New York, NY: Springer. xviii, 427 p. (1999). Reviewer: Lothar Berg (Rostock) MSC: 39Axx 93-01 37Jxx 00A06 39-04 39-01 PDFBibTeX XMLCite \textit{S. N. Elaydi}, An introduction to difference equations. 2nd ed. New York, NY: Springer (1999; Zbl 0930.39001)
Johnson, Russell Some questions in random dynamical systems involving real noise processes. (English) Zbl 0933.37057 Crauel, Hans (ed.) et al., Stochastic dynamics. Conference on Random dynamical systems, Bremen, Germany, April 28 - May 2, 1997. Dedicated to Ludwig Arnold on the occasion of his 60th birthday. New York, NY: Springer. 147-180 (1999). Reviewer: Vjatscheslav Vasiliev (Tomsk) MSC: 37H10 37H20 93E03 93C99 60G10 PDFBibTeX XMLCite \textit{R. Johnson}, in: Stochastic dynamics. Conference on Random dynamical systems, Bremen, Germany, April 28 - May 2, 1997. Dedicated to Ludwig Arnold on the ocassion of his 60th birthday. New York, NY: Springer. 147--180 (1999; Zbl 0933.37057)
Malti, R.; Ekongolo, S. B.; Ragot, J. Dynamic SISO and MISO system approximations based on optimal Laguerre models. (English) Zbl 0962.93039 IEEE Trans. Autom. Control 43, No. 9, 1318-1323 (1998). MSC: 93C05 41A30 93B30 33C45 PDFBibTeX XMLCite \textit{R. Malti} et al., IEEE Trans. Autom. Control 43, No. 9, 1318--1323 (1998; Zbl 0962.93039) Full Text: DOI
Bokor, J.; Schipp, F. Approximate identification in Laguerre and Kautz bases. (English) Zbl 0959.93013 Automatica 34, No. 4, 463-468 (1998). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 93B30 42C10 PDFBibTeX XMLCite \textit{J. Bokor} and \textit{F. Schipp}, Automatica 34, No. 4, 463--468 (1998; Zbl 0959.93013) Full Text: DOI
Razzaghi, Mohsen; Shafiee, Masoud Optimal control of singular systems via Legendre series. (English) Zbl 0922.49009 Int. J. Comput. Math. 70, No. 2, 241-250 (1998). MSC: 49K15 42C10 93C15 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{M. Shafiee}, Int. J. Comput. Math. 70, No. 2, 241--250 (1998; Zbl 0922.49009) Full Text: DOI
Silverberg, Larry Reply by the author to S. D. Hendry. (English) Zbl 0925.42006 J. Guid. Control Dyn. 21, No. 1, 189-190 (1998). MSC: 42C05 93E25 PDFBibTeX XMLCite \textit{L. Silverberg}, J. Guid. Control Dyn. 21, No. 1, 189--190 (1998; Zbl 0925.42006) Full Text: DOI
Hendry, Stephen D. Comment on “Conjecture about orthogonal functions”. (English) Zbl 0925.42005 J. Guid. Control Dyn. 21, No. 1, 188-189 (1998). MSC: 42C05 93E25 PDFBibTeX XMLCite \textit{S. D. Hendry}, J. Guid. Control Dyn. 21, No. 1, 188--189 (1998; Zbl 0925.42005) Full Text: DOI
Mohan, B. M.; Datta, K. B. On the optimal control of linear discrete-time systems via discrete orthogonal functions. (English) Zbl 0909.49019 J. Franklin Inst. 335B, No. 4, 731-738 (1998). MSC: 49N10 93C55 33C45 PDFBibTeX XMLCite \textit{B. M. Mohan} and \textit{K. B. Datta}, J. Franklin Inst. 335B, No. 4, 731--738 (1998; Zbl 0909.49019) Full Text: DOI