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Zhang, Juan; Song, Jiabin; Chen, Huanzhen A priori error estimates for spectral Galerkin approximations of integral state-constrained fractional optimal control problems. (English) Zbl 1524.65902 Adv. Appl. Math. Mech. 15, No. 3, 568-582 (2023). MSC: 65N35 65N15 49J20 35R11 26A33 33C45 65K10 49K20 65N30 PDFBibTeX XMLCite \textit{J. Zhang} et al., Adv. Appl. Math. Mech. 15, No. 3, 568--582 (2023; Zbl 1524.65902) Full Text: DOI
Hong, Jiho; Lim, Mikyoung; Seo, Dong-Hwi On the first Steklov-Dirichlet eigenvalue on eccentric annuli in general dimensions. arXiv:2309.09587 Preprint, arXiv:2309.09587 [math.AP] (2023). MSC: 35P15 49R05 42C10 BibTeX Cite \textit{J. Hong} et al., ``On the first Steklov-Dirichlet eigenvalue on eccentric annuli in general dimensions'', Preprint, arXiv:2309.09587 [math.AP] (2023) Full Text: arXiv OA License
Wang, Fangyuan; Zhou, Zhaojie Spectral Galerkin method for state constrained optimal control of fractional advection-diffusion-reaction equations. (English) Zbl 07778306 Numer. Methods Partial Differ. Equations 38, No. 5, 1526-1542 (2022). MSC: 65N35 65N30 49M41 35B45 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{F. Wang} and \textit{Z. Zhou}, Numer. Methods Partial Differ. Equations 38, No. 5, 1526--1542 (2022; Zbl 07778306) Full Text: DOI
Marzban, Hamid Reza A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems. (English) Zbl 1505.34101 Chaos Solitons Fractals 158, Article ID 112093, 10 p. (2022). MSC: 34H05 33C45 34A08 26A33 49M25 PDFBibTeX XMLCite \textit{H. R. Marzban}, Chaos Solitons Fractals 158, Article ID 112093, 10 p. (2022; Zbl 1505.34101) Full Text: DOI
Naseri, R.; Heydari, A.; Bagherzadeh, A. S. Using shifted Legendre orthonormal polynomials for solving fractional optimal control problems. (English) Zbl 1502.49028 Iran. J. Numer. Anal. Optim. 12, No. 3, 513-532 (2022). MSC: 49M25 49J30 34A08 42C05 PDFBibTeX XMLCite \textit{R. Naseri} et al., Iran. J. Numer. Anal. Optim. 12, No. 3, 513--532 (2022; Zbl 1502.49028) Full Text: DOI
Nezhadhosein, Saeed; Ghanbari, Reza; Ghorbani-Moghadam, Khatere A numerical solution for fractional linear quadratic optimal control problems via shifted Legendre polynomials. (English) Zbl 1496.65097 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 158, 28 p. (2022). MSC: 65L60 65L10 34A08 49M41 PDFBibTeX XMLCite \textit{S. Nezhadhosein} et al., Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 158, 28 p. (2022; Zbl 1496.65097) Full Text: DOI
Moradi, Leila; Conte, Dajana; Farsimadan, Eslam; Palmieri, Francesco; Paternoster, Beatrice Optimal control of system governed by nonlinear Volterra integral and fractional derivative equations. (English) Zbl 1476.49011 Comput. Appl. Math. 40, No. 4, Paper No. 157, 15 p. (2021). MSC: 49J21 33C47 26A33 PDFBibTeX XMLCite \textit{L. Moradi} et al., Comput. Appl. Math. 40, No. 4, Paper No. 157, 15 p. (2021; Zbl 1476.49011) Full Text: DOI
Liao, Huiqing; Ma, Heping Error estimate of a Legendre-Galerkin Chebyshev collocation method for a class of parabolic inverse problem. (English) Zbl 07398300 Appl. Numer. Math. 170, 179-189 (2021). MSC: 65M32 65M70 65M60 65N35 65N30 65D05 65D30 65M15 42C10 35K05 49M25 PDFBibTeX XMLCite \textit{H. Liao} and \textit{H. Ma}, Appl. Numer. Math. 170, 179--189 (2021; Zbl 07398300) Full Text: DOI
Wang, Fangyuan; Zheng, Xiangcheng; Zhou, Zhaojie Error estimate for indirect spectral approximation of optimal control problem governed by fractional diffusion equation with variable diffusivity coefficient. (English) Zbl 1507.65196 Appl. Numer. Math. 170, 146-161 (2021). Reviewer: Michael Jung (Dresden) MSC: 65M70 65M12 65M15 49K20 49M25 35B65 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Numer. Math. 170, 146--161 (2021; Zbl 1507.65196) Full Text: DOI
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
Yari, A.; Mirnia, M. Direct method for solution variational problems by using Hermite polynomials. (English) Zbl 1488.49057 Bol. Soc. Parana. Mat. (3) 39, No. 6, 223-237 (2021). MSC: 49M25 33D45 49M27 65K15 PDFBibTeX XMLCite \textit{A. Yari} and \textit{M. Mirnia}, Bol. Soc. Parana. Mat. (3) 39, No. 6, 223--237 (2021; Zbl 1488.49057) Full Text: Link
Mamehrashi, K.; Nemati, A. A new approach for solving infinite horizon optimal control problems using Laguerre functions and Ritz spectral method. (English) Zbl 1490.76162 Int. J. Comput. Math. 97, No. 7, 1529-1544 (2020). MSC: 76M22 49J15 33C45 PDFBibTeX XMLCite \textit{K. Mamehrashi} and \textit{A. Nemati}, Int. J. Comput. Math. 97, No. 7, 1529--1544 (2020; Zbl 1490.76162) Full Text: DOI
Ghaderi, Najmeh; Farahi, Mohammad Hadi The numerical solution of some optimal control systems with constant and pantograph delays via Bernstein polynomials. (English) Zbl 1477.49048 Iran. J. Math. Sci. Inform. 15, No. 2, 163-181 (2020). MSC: 49M37 34K05 33C47 90C30 PDFBibTeX XMLCite \textit{N. Ghaderi} and \textit{M. H. Farahi}, Iran. J. Math. Sci. Inform. 15, No. 2, 163--181 (2020; Zbl 1477.49048) Full Text: Link
Otaghsara, Yaser Nouralizade; Behroozifar, Mahmoud; Alipour, Mohsen Numerical method for solving a class of two-dimensional fractional optimal control problem via operational matrices of Legendre polynomial. (Persian. English summary) Zbl 1472.49055 JAMM, J. Adv. Math. Model. 10, No. 1, 1-18 (2020). MSC: 49M15 33C45 PDFBibTeX XMLCite \textit{Y. N. Otaghsara} et al., JAMM, J. Adv. Math. Model. 10, No. 1, 1--18 (2020; Zbl 1472.49055) Full Text: DOI
Mohammadi, F. A discrete orthogonal polynomials approach for fractional optimal control problems with time delay. (English) Zbl 1524.49009 Iran. J. Numer. Anal. Optim. 9, No. 2, 49-75 (2019). MSC: 49J21 65M70 33C45 PDFBibTeX XMLCite \textit{F. Mohammadi}, Iran. J. Numer. Anal. Optim. 9, No. 2, 49--75 (2019; Zbl 1524.49009) Full Text: DOI
Negarchi, N.; Nouri, K. A new direct method for solving optimal control problem of nonlinear Volterra-Fredholm integral equation via the Müntz-Legendre polynomials. (English) Zbl 1412.49012 Bull. Iran. Math. Soc. 45, No. 3, 917-934 (2019). MSC: 49J21 45G10 33C47 33C90 PDFBibTeX XMLCite \textit{N. Negarchi} and \textit{K. Nouri}, Bull. Iran. Math. Soc. 45, No. 3, 917--934 (2019; Zbl 1412.49012) Full Text: DOI
Dehghan, Reza A numerical method based on Cardan polynomials for solving optimal control problems. (English) Zbl 1424.49002 Afr. Mat. 29, No. 5-6, 677-687 (2018). MSC: 49J15 33C45 37D35 PDFBibTeX XMLCite \textit{R. Dehghan}, Afr. Mat. 29, No. 5--6, 677--687 (2018; Zbl 1424.49002) Full Text: DOI
Rahman, Sharif Mathematical properties of polynomial dimensional decomposition. (English) Zbl 1488.62002 SIAM/ASA J. Uncertain. Quantif. 6, 816-844 (2018). MSC: 62-08 33C45 49K30 60H35 PDFBibTeX XMLCite \textit{S. Rahman}, SIAM/ASA J. Uncertain. Quantif. 6, 816--844 (2018; Zbl 1488.62002) Full Text: DOI arXiv
Li, Dingfang; Huang, Fenglin; Shi, Xiulian Error analysis and simulation of Galerkin spectral approximation for flow optimal control with state constraint. (English) Zbl 1448.65254 Numer. Funct. Anal. Optim. 39, No. 9, 967-989 (2018). MSC: 65N35 49J20 49M25 65N30 35Q30 76D07 76D55 76M10 76M22 42C10 PDFBibTeX XMLCite \textit{D. Li} et al., Numer. Funct. Anal. Optim. 39, No. 9, 967--989 (2018; Zbl 1448.65254) Full Text: DOI
Dehghan, Reza State parametrization method based on shifted Legendre polynomials for solving fractional optimal control problems. (English) Zbl 1381.49016 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 37, 21 p. (2018). MSC: 49K15 90C31 90C26 42C05 65E05 PDFBibTeX XMLCite \textit{R. Dehghan}, Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 37, 21 p. (2018; Zbl 1381.49016) Full Text: DOI
Darani, Mohammadreza Ahmadi; Nasiri, Mitra A collocation method for solving the fractional calculus of variation problems. (English) Zbl 1424.49034 Bol. Soc. Parana. Mat. (3) 35, No. 1, 163-172 (2017). MSC: 49M25 26A33 33C70 PDFBibTeX XMLCite \textit{M. A. Darani} and \textit{M. Nasiri}, Bol. Soc. Parana. Mat. (3) 35, No. 1, 163--172 (2017; Zbl 1424.49034) Full Text: Link
Razmjooy, Navid; Ramezani, Mehdi Analytical solution for optimal control by the second kind Chebyshev polynomials expansion. (English) Zbl 1391.49057 Iran. J. Sci. Technol., Trans. A, Sci. 41, No. 4, 1017-1026 (2017). MSC: 49M20 PDFBibTeX XMLCite \textit{N. Razmjooy} and \textit{M. Ramezani}, Iran. J. Sci. Technol., Trans. A, Sci. 41, No. 4, 1017--1026 (2017; Zbl 1391.49057) Full Text: DOI
Ezz-Eldien, S. S.; Doha, E. H.; Baleanu, D.; Bhrawy, A. H. A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems. (English) Zbl 1373.49029 J. Vib. Control 23, No. 1, 16-30 (2017). MSC: 49M25 42C10 26A33 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien} et al., J. Vib. Control 23, No. 1, 16--30 (2017; Zbl 1373.49029) Full Text: DOI
Bhrawy, A. H.; Ezz-Eldien, S. S.; Doha, E. H.; Abdelkawy, M. A.; Baleanu, D. Solving fractional optimal control problems within a Chebyshev-Legendre operational technique. (English) Zbl 1370.49027 Int. J. Control 90, No. 6, 1230-1244 (2017). MSC: 49M30 34A08 65M70 33C45 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Int. J. Control 90, No. 6, 1230--1244 (2017; Zbl 1370.49027) Full Text: DOI
Bencheikh Le Hocine, Mohamed Amine; Boulaaras, Salah; Haiour, Mohamed On finite element approximation of system of parabolic quasi-variational inequalities related to stochastic control problems. (English) Zbl 1426.65161 Cogent Math. 3, Article ID 1251386, 20 p. (2016). MSC: 65N15 65K10 49J40 65N30 PDFBibTeX XMLCite \textit{M. A. Bencheikh Le Hocine} et al., Cogent Math. 3, Article ID 1251386, 20 p. (2016; Zbl 1426.65161) Full Text: DOI
Dehghan, Mehdi; Hamedi, Ehsan-Allah; Khosravian-Arab, Hassan A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials. (English) Zbl 1365.26005 J. Vib. Control 22, No. 6, 1547-1559 (2016). MSC: 26A33 49K21 33C45 PDFBibTeX XMLCite \textit{M. Dehghan} et al., J. Vib. Control 22, No. 6, 1547--1559 (2016; Zbl 1365.26005) Full Text: DOI
Ruzhansky, Michael; Tikhonov, Sergey Some problems in Fourier analysis and approximation theory. (English) Zbl 1343.42001 Ruzhansky, Michael (ed.) et al., Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section “Approximation theory and Fourier analysis”, Crakow, Poland, August 5–9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4–8, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-27465-2/hbk; 978-3-319-27466-9/ebook). Applied and Numerical Harmonic Analysis, 1-19 (2016). MSC: 42-02 41-02 49-02 42B20 42B10 42C15 42C10 42A99 42A10 41A17 49J40 49M25 32A35 32A22 46E35 26B05 65C05 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{S. Tikhonov}, in: Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section ``Approximation theory and Fourier analysis'', Crakow, Poland, August 5--9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4--8, 2013. Basel: Birkhäuser/Springer. 1--19 (2016; Zbl 1343.42001) Full Text: DOI
Stavropoulou, Faidra; Müller, Johannes Parametrization of random vectors in polynomial chaos expansions via optimal transportation. (English) Zbl 1351.60089 SIAM J. Sci. Comput. 37, No. 6, A2535-A2557 (2015). MSC: 60H35 49Q20 62G05 65C50 33C45 PDFBibTeX XMLCite \textit{F. Stavropoulou} and \textit{J. Müller}, SIAM J. Sci. Comput. 37, No. 6, A2535--A2557 (2015; Zbl 1351.60089) Full Text: DOI
Maleki, Mohammad; Hashim, Ishak; Abbasbandy, Saeid Pseudospectral methods based on nonclassical orthogonal polynomials for solving nonlinear variational problems. (English) Zbl 1304.49064 Int. J. Comput. Math. 91, No. 7, 1552-1573 (2014). MSC: 49M37 65K10 65M70 90C30 PDFBibTeX XMLCite \textit{M. Maleki} et al., Int. J. Comput. Math. 91, No. 7, 1552--1573 (2014; Zbl 1304.49064) Full Text: DOI
Zelikin, M. I.; Kiselev, D. D.; Lokutsievskiy, L. V. Optimal control and Galois theory. (English. Russian original) Zbl 1286.49009 Sb. Math. 204, No. 11, 1624-1638 (2013); translation from Mat. Sb. 204, No. 11, 83-98 (2013). MSC: 49J21 49K21 13B05 17B99 PDFBibTeX XMLCite \textit{M. I. Zelikin} et al., Sb. Math. 204, No. 11, 1624--1638 (2013; Zbl 1286.49009); translation from Mat. Sb. 204, No. 11, 83--98 (2013) Full Text: DOI
Ren, Xuchun; Rahman, Sharif Robust design optimization by polynomial dimensional decomposition. (English) Zbl 1274.74290 Struct. Multidiscip. Optim. 48, No. 1, 127-148 (2013). MSC: 74P10 90C15 49N90 PDFBibTeX XMLCite \textit{X. Ren} and \textit{S. Rahman}, Struct. Multidiscip. Optim. 48, No. 1, 127--148 (2013; Zbl 1274.74290) Full Text: DOI arXiv
Tohidi, E.; Samadi, O. R. N. Optimal control of nonlinear Volterra integral equations via Legendre polynomials. (English) Zbl 1275.49056 IMA J. Math. Control Inf. 30, No. 1, 67-83 (2013). MSC: 49M30 45D05 42C10 PDFBibTeX XMLCite \textit{E. Tohidi} and \textit{O. R. N. Samadi}, IMA J. Math. Control Inf. 30, No. 1, 67--83 (2013; Zbl 1275.49056) Full Text: DOI
Rutka, Przemysław; Smarzewski, Ryszard Extremal interpolatory problem of Fejér type for all classical weight functions. (English) Zbl 1293.41003 ETNA, Electron. Trans. Numer. Anal. 39, 46-59 (2012). MSC: 41A05 42C05 65D05 49K35 PDFBibTeX XMLCite \textit{P. Rutka} and \textit{R. Smarzewski}, ETNA, Electron. Trans. Numer. Anal. 39, 46--59 (2012; Zbl 1293.41003) Full Text: EMIS
El-Daou, Mohamed K.; Al-Hamad, Khaled M. Computation of the canonical polynomials and applications to some optimal control problems. (English) Zbl 1257.65039 Numer. Algorithms 61, No. 4, 545-566 (2012). MSC: 65L05 65K10 34A30 49J15 49M25 65L60 PDFBibTeX XMLCite \textit{M. K. El-Daou} and \textit{K. M. Al-Hamad}, Numer. Algorithms 61, No. 4, 545--566 (2012; Zbl 1257.65039) Full Text: DOI
El-Kady, M. Efficient reconstructed Legendre algorithm for solving linear-quadratic optimal control problems. (English) Zbl 1247.65083 Appl. Math. Lett. 25, No. 7, 1034-1040 (2012). MSC: 65K10 49N10 49M30 PDFBibTeX XMLCite \textit{M. El-Kady}, Appl. Math. Lett. 25, No. 7, 1034--1040 (2012; Zbl 1247.65083) Full Text: DOI
Ordokhani, Y. Direct Walsh-hybrid method for variational problems. (English) Zbl 1394.49031 Int. J. Nonlinear Sci. 11, No. 4, 114-120 (2011). MSC: 49M25 42C10 65K10 PDFBibTeX XMLCite \textit{Y. Ordokhani}, Int. J. Nonlinear Sci. 11, No. 4, 114--120 (2011; Zbl 1394.49031)
Jumarie, Guy Fractional Euler’s integral of first and second kinds. Application to fractional Hermite’s polynomials and to probability density of fractional order. (English) Zbl 1234.26016 J. Appl. Math. Inform. 28, No. 1-2, 257-273 (2010). MSC: 26A33 49K20 44A10 33C45 PDFBibTeX XMLCite \textit{G. Jumarie}, J. Appl. Math. Inform. 28, No. 1--2, 257--273 (2010; Zbl 1234.26016)
Werneth, Charles M.; Dhar, Mallika; Maung, Khin Maung; Sirola, Christopher; Norbury, John W. Variational method using basis functions. (English) Zbl 1191.81219 J. Phys. A, Math. Theor. 43, No. 25, Article ID 255306, 14 p. (2010). MSC: 81V35 81Q05 49S05 33C45 PDFBibTeX XMLCite \textit{C. M. Werneth} et al., J. Phys. A, Math. Theor. 43, No. 25, Article ID 255306, 14 p. (2010; Zbl 1191.81219) Full Text: DOI
Litman, A.; Lencrerot, R.; Geffrin, J. M. Combining spatial support information and shape-based method for tomographic imaging inside a microwave cylindrical scanner. (English) Zbl 1180.78027 Inverse Probl. Sci. Eng. 18, No. 1, 19-34 (2010). MSC: 78A46 78A45 78M10 78M50 49K20 90C52 49Q10 41A30 33C50 PDFBibTeX XMLCite \textit{A. Litman} et al., Inverse Probl. Sci. Eng. 18, No. 1, 19--34 (2010; Zbl 1180.78027) Full Text: DOI HAL
Bayin, Ş. Selçuk Essentials of mathematical methods in science and engineering. (English) Zbl 1157.00007 Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-34379-1/hbk). xxvii, 802 p. (2008). Reviewer: Bogdan A. Choczewski (Kraków) MSC: 00A06 15-01 15A06 15A09 15A15 15A72 26-01 26A24 26A42 26B10 26B12 26B15 26B20 30-01 30B10 30E20 33-01 33C10 33C45 34-01 34B30 35-01 35J05 35J10 35K05 42-01 42A16 42A38 44-01 44A10 49-01 49S05 53-01 53A45 60-01 60A05 60E05 62-01 62B10 62P35 70-01 70H03 70H20 80-01 80A20 80M30 82-01 82B10 94-01 94A15 94A60 PDFBibTeX XMLCite \textit{Ş. S. Bayin}, Essentials of mathematical methods in science and engineering. Hoboken, NJ: John Wiley \& Sons (2008; Zbl 1157.00007)
Razzaghi, Mohsen Numerical methods for variational problems by hybrid functions. (English) Zbl 1158.33301 Păltineanu, Gavriil (ed.) et al., Trends and challenges in applied mathematics. Conference proceedings of the international conference, ICTCAM 2007, Bucharest, Romania, June 20–23, 2007. Bucharest: Matrix Rom (ISBN 978-973-755-283-9/pbk). 86-91 (2007). MSC: 33F05 42C10 49M30 PDFBibTeX XMLCite \textit{M. Razzaghi}, in: Trends and challenges in applied mathematics. Conference proceedings of the international conference, ICTCAM 2007, Bucharest, Romania, June 20--23, 2007. Bucharest: Matrix Rom. 86--91 (2007; Zbl 1158.33301)
Deloff, A. Semi-spectral Chebyshev method in quantum mechanics. (English) Zbl 1119.81057 Ann. Phys. 322, No. 6, 1373-1419 (2007). Reviewer: Hideo Yamagata (Osaka) MSC: 81Q10 81Q05 49M15 65D05 81U05 42C10 PDFBibTeX XMLCite \textit{A. Deloff}, Ann. Phys. 322, No. 6, 1373--1419 (2007; Zbl 1119.81057) Full Text: DOI arXiv
Bayin, Selçuk Ş. Mathematical methods in science and engineering. (English) Zbl 1180.00002 Hoboken, NJ: John Wiley & Sons (ISBN 0-470-04142-0/hbk). xxvii, 679 p. (2006). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 00A05 33C45 33C10 35J08 49J53 PDFBibTeX XMLCite \textit{S. Ş. Bayin}, Mathematical methods in science and engineering. Hoboken, NJ: John Wiley \& Sons (2006; Zbl 1180.00002)
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
Ordokhani, Y.; Razzaghi, M. Linear quadratic optimal control problems with inequality constraints via rationalized Haar functions. (English) Zbl 1081.49026 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 12, No. 5-6, 761-773 (2005). MSC: 49N10 49K30 65L60 42C10 PDFBibTeX XMLCite \textit{Y. Ordokhani} and \textit{M. Razzaghi}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 12, No. 5--6, 761--773 (2005; Zbl 1081.49026)
Xiong, Z.; Bacalis, N. C. Generalization of Laguerre orbitals toward an accurate, concise and practical analytic atomic wave function. (English) Zbl 1082.81534 MATCH Commun. Math. Comput. Chem. 53, No. 2, 283-297 (2005). Reviewer: Slobodan Tričković (Niš) MSC: 81V45 81-04 49S05 81Q05 33C45 PDFBibTeX XMLCite \textit{Z. Xiong} and \textit{N. C. Bacalis}, MATCH Commun. Math. Comput. Chem. 53, No. 2, 283--297 (2005; Zbl 1082.81534)
Razzaghi, Mohsen Orthogonal functions in the calculus of variations and optimal control. (English) Zbl 1153.33306 Chademan, Arsalan (ed.), Proceedings of the monthly colloquium of the Iranian Mathematical Society. Vol. 2. Tehran: Iranian Mathematical Society (ISBN 964-95268-3-8/pbk). 155-177 (2004). Reviewer: Ajendra Nath Srivastava (Puna) MSC: 33C47 33C45 33C99 49J20 PDFBibTeX XMLCite \textit{M. Razzaghi}, in: Proceedings of the monthly colloquium of the Iranian Mathematical Society. Vol. 2. Tehran: Iranian Mathematical Society. 155--177 (2004; Zbl 1153.33306)
Razzaghi, M.; Sepehrian, B. Single-term Walsh series direct method for the solution of nonlinear problems in the calculus of variations. (English) Zbl 1092.49022 J. Vib. Control 10, No. 7, 1071-1081 (2004). MSC: 49M15 65M70 42C10 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{B. Sepehrian}, J. Vib. Control 10, No. 7, 1071--1081 (2004; Zbl 1092.49022) Full Text: DOI
Marzban, H. R.; Razzaghi, M. Hybrid functions approach for linearly constrained quadratic optimal control problems. (English) Zbl 1020.49025 Appl. Math. Modelling 27, No. 6, 471-485 (2003). MSC: 49M25 49N10 PDFBibTeX XMLCite \textit{H. R. Marzban} and \textit{M. Razzaghi}, Appl. Math. Modelling 27, No. 6, 471--485 (2003; Zbl 1020.49025) Full Text: DOI
Coroian, Dan I.; Dragnev, Peter Constrained Leja points and the numerical solution of the constrained energy problem. (English) Zbl 0982.65077 J. Comput. Appl. Math. 131, No. 1-2, 427-444 (2001). MSC: 65K10 49J40 65E05 PDFBibTeX XMLCite \textit{D. I. Coroian} and \textit{P. Dragnev}, J. Comput. Appl. Math. 131, No. 1--2, 427--444 (2001; Zbl 0982.65077) Full Text: DOI
Ruffing, Andreas Linking special semiconvex functions and three-term-recurrent structures. (English) Zbl 1012.49011 Open Syst. Inf. Dyn. 7, No. 3, 219-235 (2000). Reviewer: Giuseppe Buttazzo (Pisa) MSC: 49J45 52A41 42C05 PDFBibTeX XMLCite \textit{A. Ruffing}, Open Syst. Inf. Dyn. 7, No. 3, 219--235 (2000; Zbl 1012.49011) Full Text: DOI
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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
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
Granovsky, Boris L.; Müller, Hans-Georg; Pfeifer, C. Some remarks on optimal kernel functions. (English) Zbl 0820.62034 Stat. Decis. 13, No. 2, 101-116 (1995). MSC: 62G07 49R50 42C10 62Q05 49J22 49N70 49N75 PDFBibTeX XMLCite \textit{B. L. Granovsky} et al., Stat. Decis. 13, No. 2, 101--116 (1995; Zbl 0820.62034)
Bonnetier, E.; Conca, C. Approximation of Young measures by functions and application to a problem of optimal design for plates with variable thickness. (English) Zbl 0824.49006 Proc. R. Soc. Edinb., Sect. A 124, No. 3, 399-422 (1994). Reviewer: Z.Wyderka (Katowice) MSC: 49J20 49J40 74M05 35B37 PDFBibTeX XMLCite \textit{E. Bonnetier} and \textit{C. Conca}, Proc. R. Soc. Edinb., Sect. A, Math. 124, No. 3, 399--422 (1994; Zbl 0824.49006) Full Text: DOI
Hwang, Chyi; Shyu, Kuo-Kai Direct method for optimal control of discrete time-varying systems. (English) Zbl 0729.49025 Int. J. Syst. Sci. 22, No. 3, 461-477 (1991). Reviewer: M.Brokate (Kaiserslautern) MSC: 49N10 93C55 93B40 49M30 42C10 65K10 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{K.-K. Shyu}, Int. J. Syst. Sci. 22, No. 3, 461--477 (1991; Zbl 0729.49025) Full Text: DOI
Zhang, Chunshu; Huang, Renmin; Wang, Huanchen An optimal solution for continuously distributed time-lags systems via Walsh transformation. (English) Zbl 0722.93020 Adv. Modelling Simulation 21, No. 4, 27-38 (1990). MSC: 93B50 49N70 49N75 93C30 93B17 42C10 PDFBibTeX XML
Razzaghi, Mohsen; Razzaghi, Mehdi Solution of linear two-point boundary value problems and optimal control of time-varying systems by shifted Chebyshev approximations. (English) Zbl 0714.49032 J. Franklin Inst. 327, No. 2, 321-328 (1990). MSC: 49M15 49N05 65L10 42C05 49J15 65K10 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{M. Razzaghi}, J. Franklin Inst. 327, No. 2, 321--328 (1990; Zbl 0714.49032) Full Text: DOI
Granovsky, Boris L.; Müller, Hans-Georg On the optimality of a class of polynomial kernel functions. (English) Zbl 0691.62040 Stat. Decis. 7, No. 4, 301-312 (1989). MSC: 62G05 49J99 42C10 PDFBibTeX XMLCite \textit{B. L. Granovsky} and \textit{H.-G. Müller}, Stat. Decis. 7, No. 4, 301--312 (1989; Zbl 0691.62040)
Endow, Yasushi Optimal control via Fourier series of operational matrix of integration. (English) Zbl 0687.49025 IEEE Trans. Autom. Control 34, No. 7, 770-773 (1989). MSC: 49M30 93B40 42C10 93B50 PDFBibTeX XMLCite \textit{Y. Endow}, IEEE Trans. Autom. Control 34, No. 7, 770--773 (1989; Zbl 0687.49025) Full Text: DOI
Lee, Tsu-Tian; Tsay, Shuh-Chuan Analysis, parameter identification and optimal control of time-varying systems via general orthogonal polynomials. (English) Zbl 0683.93018 Int. J. Syst. Sci. 20, No. 8, 1451-1465 (1989). MSC: 93B28 49J15 93B30 33C45 93C05 PDFBibTeX XMLCite \textit{T.-T. Lee} and \textit{S.-C. Tsay}, Int. J. Syst. Sci. 20, No. 8, 1451--1465 (1989; Zbl 0683.93018) Full Text: DOI
Agrawal, O. P. General formulation for the numerical solution of optimal control problems. (English) Zbl 0679.49031 Int. J. Control 50, No. 2, 627-638 (1989). MSC: 49M29 49J15 33C45 PDFBibTeX XMLCite \textit{O. P. Agrawal}, Int. J. Control 50, No. 2, 627--638 (1989; Zbl 0679.49031) Full Text: DOI
Palanisamy, K. R.; Raghunathan, K. G. Single-term Walsh series analysis of linear optimal control systems incorporating observers. (English) Zbl 0678.93026 Int. J. Syst. Sci. 20, No. 7, 1149-1155 (1989). MSC: 93B50 49K15 42C10 PDFBibTeX XMLCite \textit{K. R. Palanisamy} and \textit{K. G. Raghunathan}, Int. J. Syst. Sci. 20, No. 7, 1149--1155 (1989; Zbl 0678.93026) Full Text: DOI
Studden, W. J. Note on some \(\phi _ p\)-optimal designs for polynomial regression. (English) Zbl 0675.62047 Ann. Stat. 17, No. 2, 618-623 (1989). MSC: 62K05 62J02 41A50 49K35 PDFBibTeX XMLCite \textit{W. J. Studden}, Ann. Stat. 17, No. 2, 618--623 (1989; Zbl 0675.62047) Full Text: DOI
Grigoryan, M. D.; Ajunz, S. A. Generalization of Legendre polynomials. (English) Zbl 0734.33004 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 42, 17-24 (1988). Reviewer: E.Riekstyņš (Riga) MSC: 33C45 33E30 49J35 PDFBibTeX XMLCite \textit{M. D. Grigoryan} and \textit{S. A. Ajunz}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 42, 17--24 (1988; Zbl 0734.33004)
Vlassenbroeck, Jacques A Chebyshev polynomial method for optimal control with state constraints. (English) Zbl 0647.49023 Automatica 24, No. 4, 499-506 (1988). MSC: 49M37 42C10 49K15 33C45 65K10 93B40 93C15 PDFBibTeX XMLCite \textit{J. Vlassenbroeck}, Automatica 24, No. 4, 499--506 (1988; Zbl 0647.49023) Full Text: DOI
Vlassenbroeck, Jacques; van Dooren, René A Chebyshev technique for solving nonlinear optimal control problems. (English) Zbl 0643.49027 IEEE Trans. Autom. Control 33, No. 4, 333-340 (1988). Reviewer: D. Cusmir MSC: 49M99 42C10 93C10 33C45 44A45 65K10 93B40 PDFBibTeX XMLCite \textit{J. Vlassenbroeck} and \textit{R. van Dooren}, IEEE Trans. Autom. Control 33, No. 4, 333--340 (1988; Zbl 0643.49027) Full Text: DOI
Tsay, Shuh-Chuan; Lee, Tsu-Tian Solution of variational problems via general orthogonal polynomials. (English) Zbl 0639.49015 Int. J. Syst. Sci. 19, No. 3, 413-437 (1988). MSC: 49K05 42C10 49K15 33C45 65K10 PDFBibTeX XMLCite \textit{S.-C. Tsay} and \textit{T.-T. Lee}, Int. J. Syst. Sci. 19, No. 3, 413--437 (1988; Zbl 0639.49015) Full Text: DOI
Ul’yanov, P. L. (ed.); Tikhomirov, V. M. (ed.) Extremal problems, functional analysis and their applications. (экстремальные задачи, функциональный анализ и их приложения.) (Russian) Zbl 0697.42001 Moskva: Izdatel’stvo Moskovskogo Gosudarstvennogo Universiteta. 116 p. R. 0.40 (1988). MSC: 42-06 00B15 49-06 47-06 42C10 42A20 42C15 42B25 41A46 34B99 34L99 41A30 PDFBibTeX XMLCite \textit{P. L. Ul'yanov} (ed.) and \textit{V. M. Tikhomirov} (ed.), экстремальные задачи, функциональный анализ и их приложения (Russian). Moskva: Izdatel'stvo Moskovskogo Gosudarstvennogo Universiteta (1988; Zbl 0697.42001)
Chen, Chao-Kuang; Kuo, Shin-Gia; Yang, Ching-Yu Solution of variational problems using the Fourier series operational matrix. (English) Zbl 0615.49015 Int. J. Syst. Sci. 18, 799-817 (1987). MSC: 49M99 42A16 44A45 33C45 PDFBibTeX XMLCite \textit{C.-K. Chen} et al., Int. J. Syst. Sci. 18, 799--817 (1987; Zbl 0615.49015) Full Text: DOI
Bernardi, Christine; Canuto, Claudio; Maday, Yvon Un problème variationnel abstrait. Application à une méthode de collocation pour les équations de Stokes. (An abstract variational problem. Application to a collocation method for the Stokes equations). (French) Zbl 0612.49004 C. R. Acad. Sci., Paris, Sér. I 303, 971-974 (1986). Reviewer: H.Brezis MSC: 49J20 65N35 76D07 33C45 49M99 PDFBibTeX XMLCite \textit{C. Bernardi} et al., C. R. Acad. Sci., Paris, Sér. I 303, 971--974 (1986; Zbl 0612.49004)
Ingrong, Horng; Jyhhorng, Chou Shifted Chebyshev direct method for solving variational problems. (English) Zbl 0568.49019 Int. J. Syst. Sci. 16, 855-861 (1985). MSC: 49M05 33C45 49K15 42C10 65K10 PDFBibTeX XMLCite \textit{H. Ingrong} and \textit{C. Jyhhorng}, Int. J. Syst. Sci. 16, 855--861 (1985; Zbl 0568.49019) Full Text: DOI
Horng, Ingrong; Ho, Shinnjang Optimal control using discrete Laguerre polynomials. (English) Zbl 0567.93052 Int. J. Control 41, 1613-1619 (1985). MSC: 93C55 33C45 49M30 44A55 93B40 65K10 93C05 93C99 PDFBibTeX XMLCite \textit{I. Horng} and \textit{S. Ho}, Int. J. Control 41, 1613--1619 (1985; Zbl 0567.93052) Full Text: DOI
Horng, Ingrong; Ho, Shinnjang Application of discrete Chebyshev polynomials to the optimal control of digital systems. (English) Zbl 0566.93040 Int. J. Control 42, 243-250 (1985). MSC: 93C55 33C45 44A55 49M30 65K10 93B40 93C05 PDFBibTeX XMLCite \textit{I. Horng} and \textit{S. Ho}, Int. J. Control 42, 243--250 (1985; Zbl 0566.93040) Full Text: DOI
Palanisamy, K. R.; Arunachalam, V. P. Solution of variational problems using block pulse functions. (English) Zbl 0558.49016 Int. J. Syst. Sci. 16, 257-267 (1985). Reviewer: W.Collins MSC: 49M37 42C10 90C20 33C45 65K10 93B40 PDFBibTeX XMLCite \textit{K. R. Palanisamy} and \textit{V. P. Arunachalam}, Int. J. Syst. Sci. 16, 257--267 (1985; Zbl 0558.49016) Full Text: DOI
Devyatov, B. N.; Demidenko, N. D. Theory and methods of the analysis of controlled distributed processes. (Teoriya i metody analiza upravlyaemykh raspredelennykh protsessov). (Russian) Zbl 0575.93038 Novosibirsk: Izdatel’stvo “Nauka” Sibirskoe Otdelenie. 272 p. R. 3.40 (1983). Reviewer: I.Bock MSC: 93C20 93-01 93B40 49J20 49M25 65K10 65C05 33C45 93C99 93E20 PDFBibTeX XML
Hestenes, M. R. Singular quadratic variational problems. (English) Zbl 0497.49009 J. Optimization Theory Appl. 41, 123-137 (1983). MSC: 49J27 42C05 11E16 15A63 46C99 PDFBibTeX XMLCite \textit{M. R. Hestenes}, J. Optim. Theory Appl. 41, 123--137 (1983; Zbl 0497.49009) Full Text: DOI
Hwang, C.; Shih, Y. P. Laguerre series direct method for variational problems. (English) Zbl 0481.49005 J. Optimization Theory Appl. 39, 143-149 (1983). MSC: 49J05 33C45 42C05 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{Y. P. Shih}, J. Optim. Theory Appl. 39, 143--149 (1983; Zbl 0481.49005) Full Text: DOI
Chang, R. Y.; Wang, M. W. Shifted Legendre direct method for variational problems. (English) Zbl 0481.49004 J. Optimization Theory Appl. 39, 299-307 (1983). MSC: 49J05 33C55 42C10 PDFBibTeX XMLCite \textit{R. Y. Chang} and \textit{M. W. Wang}, J. Optim. Theory Appl. 39, 299--307 (1983; Zbl 0481.49004) Full Text: DOI
Hargraves, Charles; Johnson, Forrester; Paris, Stephen; Rettie, Ian Numerical computation of optimal atmospheric trajectories. (English) Zbl 0475.49030 J. Guid. Control 4, 406-414 (1981). MSC: 49M30 33C45 65K10 76G25 76J20 70E15 PDFBibTeX XMLCite \textit{C. Hargraves} et al., J. Guid. Control 4, 406--414 (1981; Zbl 0475.49030) Full Text: DOI
Astrovskij, A. I.; Gurina, T. N. On complete controllability of systems with aftereffect in the class of Chebyshev functions. (Russian) Zbl 0469.93015 Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1981, No. 1, 9-13 (1981). MSC: 93B05 34K35 33C45 49J30 93B03 PDFBibTeX XMLCite \textit{A. I. Astrovskij} and \textit{T. N. Gurina}, Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1981, No. 1, 9--13 (1981; Zbl 0469.93015)
Krenk, S. Theories for elastic plates via orthogonal polynomials. (English) Zbl 0468.73064 J. Appl. Mech. 48, 900-904 (1981). MSC: 74K20 41A10 33C45 49M15 74E10 74S30 PDFBibTeX XMLCite \textit{S. Krenk}, J. Appl. Mech. 48, 900--904 (1981; Zbl 0468.73064) Full Text: DOI
Babenko, K. I.; Yur’ev, S. P. Shape of the surface of a capillary liquid in a vertical cylinder of arbitrary cross section. (English. Russian original) Zbl 0483.76020 Sov. Phys., Dokl. 25, 243-245 (1980); translation from Dokl. Akad. Nauk SSSR 251, 1326-1330 (1980). MSC: 76A99 76M99 33C45 49S05 PDFBibTeX XMLCite \textit{K. I. Babenko} and \textit{S. P. Yur'ev}, Sov. Phys., Dokl. 25, 243--245 (1980; Zbl 0483.76020); translation from Dokl. Akad. Nauk SSSR 251, 1326--1330 (1980)
Chen, Wen-Liang; Shih, Yen-Ping Analysis and optimal control of time-varying linear systems via Walsh functions. (English) Zbl 0378.93016 Int. J. Control 27, 917-932 (1978). MSC: 93C05 93C99 49J15 42C10 PDFBibTeX XMLCite \textit{W.-L. Chen} and \textit{Y.-P. Shih}, Int. J. Control 27, 917--932 (1978; Zbl 0378.93016) Full Text: DOI
Tezcan, Cevdet Variational applications in the kinetic theory of gases. (English) Zbl 0384.76047 J. Pure Appl. Sci., Ankara 9, 279-286 (1976). MSC: 76N15 76R99 49S05 33C45 PDFBibTeX XMLCite \textit{C. Tezcan}, J. Pure Appl. Sci., Ankara 9, 279--286 (1976; Zbl 0384.76047)
Chen, C. F.; Hsiao, C. H. A Walsh series direct method for solving variational problems. (English) Zbl 0339.49017 J. Franklin Inst. 300, 265-280 (1975). MSC: 49M15 33E99 42C10 PDFBibTeX XMLCite \textit{C. F. Chen} and \textit{C. H. Hsiao}, J. Franklin Inst. 300, 265--280 (1975; Zbl 0339.49017) Full Text: DOI