# zbMATH — the first resource for mathematics

## Simon, Dan

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 Author ID: simon.dan Published as: Simon; Simon, D.; Simon, Dan External Links: ORCID
 Documents Indexed: 37 Publications since 1977, including 1 Book
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#### Co-Authors

 9 single-authored 2 Du, Dawei 2 Ergezer, Mehmet 2 Isik, Can 2 Richter, Hanz 2 Simon, Donald L. 1 Abell, Jeff 1 El-Sherief, Hossny 1 Fei, Minrui 1 Igelnik, Boris 1 Khalaf, Poya 1 Kondratenko, Yuriy P. 1 La, Hung (Jim) 1 Ma, Haiping 1 Mohammadi, Hanieh 1 Nguyen, Thang Tien 1 Rarick, Rick 1 Shmaliy, Yuriy S. 1 Warner, Holly
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#### Serials

 2 International Journal of Approximate Reasoning 2 Neurocomputing 2 Mathematical Problems in Engineering 1 International Journal of Control 1 International Journal of Systems Science 1 Journal of the Franklin Institute 1 Applied Mathematics and Computation 1 Automatica 1 Fuzzy Sets and Systems 1 Information Sciences 1 Computers & Operations Research 1 Journal of Robotic Systems 1 IEEE Transactions on Signal Processing 1 Linear Algebra and its Applications 1 European Journal of Control 1 Aerospace Science and Technology 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Asian Journal of Control
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#### Fields

 13 Systems theory; control (93-XX) 8 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

24 Publications have been cited 131 times in 110 Documents Cited by Year
Explicit $$n$$-descent on elliptic curves. I: Algebra. Zbl 1242.11039
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
2008
Training fuzzy systems with the extended Kalman filter. Zbl 1010.93522
Simon, Dan
2002
A majorization algorithm for constrained correlation matrix approximation. Zbl 1183.65009
Simon, Dan; Abell, Jeff
2010
Analytical and numerical comparisons of biogeography-based optimization and genetic algorithms. Zbl 1216.68252
Simon, Dan; Rarick, Rick; Ergezer, Mehmet; Du, Dawei
2011
Matrix coordinate Bethe Ansatz: applications to XXZ and ASEP models. Zbl 1226.82008
Crampe, N.; Ragoucy, E.; Simon, D.
2011
The eigenvalues of a tridiagonal matrix in biogeography. Zbl 1255.15009
Igelnik, Boris; Simon, Dan
2011
A game theory approach to constrained minimax state estimation. Zbl 1373.94703
Simon, D.
2006
Sum normal optimization of fuzzy membership functions. Zbl 1059.93074
Simon, Dan
2002
Design and rule base reduction of a fuzzy filter for the estimation of motor currents. Zbl 0969.68615
Simon, Dan
2000
Constrained Kalman filtering via density function truncation for turbofan engine health estimation. Zbl 1292.93132
Simon, Dan; Simon, Donald L.
2010
Explicit $$n$$-descent on elliptic curves. II: Geometry. Zbl 1243.11068
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
2009
Evolutionary optimization algorithms. Biologically inspired and population-based approaches to computer intelligence. Zbl 1280.68008
Simon, Dan
2013
Training radial basis neural networks with the extended Kalman filter. Zbl 1006.68797
Simon, Dan
2002
Explicit $$n$$-descent on elliptic curves. III: Algorithms. Zbl 1308.11058
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
2015
Unified forms for Kalman and finite impulse response filtering and smoothing. Zbl 1360.93713
Simon, Dan; Shmaliy, Yuriy S.
2013
Reduced order Kalman filtering without model reduction. Zbl 1337.93095
Simon, D.
2007
$$H_{\infty}$$ estimation for fuzzy membership function optimization. Zbl 1086.93033
Simon, Dan
2005
A trigonometric trajectory generator for robotic arms. Zbl 0825.93498
Simon, Dan; Isik, Can
1993
Probabilistic properties of fitness-based quasi-reflection in evolutionary algorithms. Zbl 1349.90855
Ergezer, M.; Simon, D.
2015
A comparison of filtering approaches for aircraft engine health estimation. Zbl 1273.70063
Simon, Dan
2008
Kalman filter constraint switching for turbofan engine health estimation. Zbl 1293.93747
Simon, Dan; Simon, Donald L.
2006
Design of real-time periodic control systems through synchronization and fixed priorities. Zbl 1068.93041
Simon, D.; Benattar, F.
2005
Task level specification and formal verification of robotics control systems: State of the art and case study. Zbl 1015.93534
Kapellos, K.; Simon, D.; Jourdant, M.; Espiau, B.
1999
Control laws, tasks and procedures with ORCCAD: Application to the control of an underwater arm. Zbl 1015.93526
Simon, D.; Kapellos, K.; Espiau, B.
1998
Explicit $$n$$-descent on elliptic curves. III: Algorithms. Zbl 1308.11058
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
2015
Probabilistic properties of fitness-based quasi-reflection in evolutionary algorithms. Zbl 1349.90855
Ergezer, M.; Simon, D.
2015
Evolutionary optimization algorithms. Biologically inspired and population-based approaches to computer intelligence. Zbl 1280.68008
Simon, Dan
2013
Unified forms for Kalman and finite impulse response filtering and smoothing. Zbl 1360.93713
Simon, Dan; Shmaliy, Yuriy S.
2013
Analytical and numerical comparisons of biogeography-based optimization and genetic algorithms. Zbl 1216.68252
Simon, Dan; Rarick, Rick; Ergezer, Mehmet; Du, Dawei
2011
Matrix coordinate Bethe Ansatz: applications to XXZ and ASEP models. Zbl 1226.82008
Crampe, N.; Ragoucy, E.; Simon, D.
2011
The eigenvalues of a tridiagonal matrix in biogeography. Zbl 1255.15009
Igelnik, Boris; Simon, Dan
2011
A majorization algorithm for constrained correlation matrix approximation. Zbl 1183.65009
Simon, Dan; Abell, Jeff
2010
Constrained Kalman filtering via density function truncation for turbofan engine health estimation. Zbl 1292.93132
Simon, Dan; Simon, Donald L.
2010
Explicit $$n$$-descent on elliptic curves. II: Geometry. Zbl 1243.11068
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
2009
Explicit $$n$$-descent on elliptic curves. I: Algebra. Zbl 1242.11039
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
2008
A comparison of filtering approaches for aircraft engine health estimation. Zbl 1273.70063
Simon, Dan
2008
Reduced order Kalman filtering without model reduction. Zbl 1337.93095
Simon, D.
2007
A game theory approach to constrained minimax state estimation. Zbl 1373.94703
Simon, D.
2006
Kalman filter constraint switching for turbofan engine health estimation. Zbl 1293.93747
Simon, Dan; Simon, Donald L.
2006
$$H_{\infty}$$ estimation for fuzzy membership function optimization. Zbl 1086.93033
Simon, Dan
2005
Design of real-time periodic control systems through synchronization and fixed priorities. Zbl 1068.93041
Simon, D.; Benattar, F.
2005
Training fuzzy systems with the extended Kalman filter. Zbl 1010.93522
Simon, Dan
2002
Sum normal optimization of fuzzy membership functions. Zbl 1059.93074
Simon, Dan
2002
Training radial basis neural networks with the extended Kalman filter. Zbl 1006.68797
Simon, Dan
2002
Design and rule base reduction of a fuzzy filter for the estimation of motor currents. Zbl 0969.68615
Simon, Dan
2000
Task level specification and formal verification of robotics control systems: State of the art and case study. Zbl 1015.93534
Kapellos, K.; Simon, D.; Jourdant, M.; Espiau, B.
1999
Control laws, tasks and procedures with ORCCAD: Application to the control of an underwater arm. Zbl 1015.93526
Simon, D.; Kapellos, K.; Espiau, B.
1998
A trigonometric trajectory generator for robotic arms. Zbl 0825.93498
Simon, Dan; Isik, Can
1993
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#### Cited by 228 Authors

 10 Simon, Dan 6 Fisher, Tom A. 5 Bai, Jianchao 4 Belliard, Samuel 4 Creutz, Brendan 3 Crampé, Nicolas 3 Li, Jicheng 3 Ragoucy, Eric 3 Stoll, Michael 2 Al-Hadithi, Basil Mohammed 2 Ao, Jijun 2 Cremona, John E. 2 Dai, Pingfan 2 Du, Dawei 2 Duan, Xianzhong 2 Duan, Xuefeng 2 Huang, Biao 2 Ivanyos, Gábor 2 Jiménez, Agustín 2 Kondratenko, Yuriy P. 2 Kutas, Péter 2 Li, Xiangtao 2 Liu, Sanyang 2 Matía, Fernando 2 Miljković, Zoran 2 Miller, Robert L. 2 Pavelková, Lenka 2 Pimenta, Rodrigo A. 2 Rigatos, Gerasimos G. 2 Rónyai, Lajos 2 Shi, Dongyuan 2 Shmaliy, Yuriy S. 2 Simon, Donald L. 2 Sun, Jiong 2 Vuković, Najdan 2 Wen, Zaiwen 2 Xu, Fengmin 2 Yin, Minghao 2 Zhang, Liwei 2 Zhao, Shunyi 1 Abbaszadeh, Masoud 1 Abell, Jeff 1 Abry, Patrice 1 Al-Hassan, Qassem M. 1 Albers, David J. 1 Alcalá-Fdez, Jesús 1 Alcalá, Rafael 1 Alci, Musa 1 Aliyari Shoorehdeli, Mahdi 1 Almobaied, Moayed 1 Angeletti, Florian 1 Atamanyuk, Igor 1 Avan, Jean 1 Barriga, A. 1 Baturone, I. 1 Bertin, Eric M. 1 Beyhan, Selami 1 Blancquart, Paul-Adrien 1 Bruin, Nils 1 Byeon, Ji-Hwan 1 Chang, Guobin 1 Chang, Xiaokai 1 Chee, Stephen Alexander 1 Chen, Chao 1 Chen, Jinfu 1 Chen, Ming 1 Chenggen, Yang 1 Choi, Jiyoung 1 Chu, Wenchang 1 Coste-Manière, Ève 1 Crammer, Koby 1 da Fonseca, Carlos Martins 1 Dai, Xiaoying 1 Ding, Chao 1 Du, Ke-Lin 1 Eksin, Ibrahim 1 El Aiss, Hicham 1 El Bachtiri, R. 1 El Youssfi, N. 1 Ergezer, Mehmet 1 Esmaeilzadeh Seylabi, Elnaz 1 Fan, Yongqing 1 Fei, Minrui 1 Feng, Hsuan-Ming 1 Flynn, Eugene Victor 1 Forbes, James Richard 1 Gao, Weifeng 1 Gasparetto, Alessandro 1 Grattoni, Carlos 1 Grosjean, Nicolas 1 Güzelkaya, Müjde 1 Hadidi, Khayrollah 1 Hajja, Mowaffaq 1 Hernández Aguirre, Arturo 1 Herrera-Guzmán, Rafael 1 Herrera, Francisco 1 Hojjat, Mohammad 1 Hu, Jiang 1 Huang, Guangbin 1 Huang, Jinquan ...and 128 more Authors
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#### Cited in 61 Serials

 6 Mathematical Problems in Engineering 5 Mathematics of Computation 5 Fuzzy Sets and Systems 5 Journal of Algebra 4 Applied Mathematics and Computation 4 Information Sciences 4 Linear Algebra and its Applications 3 International Journal of Systems Science 3 Nuclear Physics. B 3 Automatica 3 Journal of Computational and Applied Mathematics 3 Journal of Symbolic Computation 2 Journal of the Franklin Institute 2 Linear and Multilinear Algebra 2 Optimal Control Applications & Methods 2 International Journal of Approximate Reasoning 2 Neural Networks 2 International Journal of Adaptive Control and Signal Processing 2 Mathematical Programming. Series A. Series B 2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2 Journal of Physics A: Mathematical and Theoretical 2 Asian Journal of Control 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Mathematische Annalen 1 Results in Mathematics 1 Theoretical Computer Science 1 Applied Numerical Mathematics 1 Optimization 1 Computers & Operations Research 1 Applied Mathematics Letters 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Advances in Engineering Software 1 Journal of Computer and Systems Sciences International 1 SIAM Journal on Scientific Computing 1 Journal de Théorie des Nombres de Bordeaux 1 Applicationes Mathematicae 1 Numerical Linear Algebra with Applications 1 European Journal of Control 1 Optimization Methods & Software 1 Soft Computing 1 Annals of Mathematics. Second Series 1 Journal of High Energy Physics 1 Methodology and Computing in Applied Probability 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 International Journal of Computational Intelligence and Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Control Science and Engineering 1 ISRN Applied Mathematics 1 Journal of the Operations Research Society of China 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Research in Number Theory 1 Proceedings of the American Mathematical Society. Series B
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#### Cited in 27 Fields

 37 Systems theory; control (93-XX) 27 Operations research, mathematical programming (90-XX) 18 Computer science (68-XX) 17 Number theory (11-XX) 16 Numerical analysis (65-XX) 13 Algebraic geometry (14-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Quantum theory (81-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Statistics (62-XX) 4 Mechanics of particles and systems (70-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Associative rings and algebras (16-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Nonassociative rings and algebras (17-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Fluid mechanics (76-XX)