Edit Profile (opens in new tab) Bucy, Richard S. Co-Author Distance Author ID: bucy.richard-s Published as: Bucy, R. S.; Bucy, Richard S.; Bucy, R. more...less Documents Indexed: 56 Publications since 1964, including 2 Books 1 Contribution as Editor · 1 Further Contribution Co-Authors: 16 Co-Authors with 25 Joint Publications 216 Co-Co-Authors all top 5 Co-Authors 26 single-authored 5 Senne, Kenneth D. 5 Youssef, Hussein M. 4 Mallinckrodt, Albert J. 3 Moura, José M. F. 2 Ackermann, Juergen E. 2 Merritt, Michael J. 1 Alengrin, Gerard 1 Bekir, Esmat 1 Bellman, Richard Ernest 1 Belyaev, Yuriĭ Konstantinovich 1 Bode, H. W. 1 Diesposti, R. S. 1 Ephremides, Anthony 1 Hanner, Olof 1 Joseph, P. D. 1 Kadota, T. T. 1 Kailath, Thomas 1 Kallianpur, Gopinath 1 Kalman, Rudolf Emil 1 Lévy, Paul 1 Mandrekar, Vidyadhar S. 1 Namiri, M. K. 1 Ribeiro, Maria Isabel 1 Rodriguez-Canabal, J. 1 Rozdnov, Ju. A. 1 Shannon, G. E. 1 Shepp, Lawrence Alan 1 Silverman, Leonard M. 1 Thomas, John Bowman 1 Velman, J. R. all top 5 Serials 4 Computers & Mathematics with Applications 4 IEEE Transactions on Automatic Control 3 Journal of Mathematical Analysis and Applications 3 Stochastics 3 Information Sciences 3 Journal of Computer and System Sciences 2 IEEE Transactions on Information Theory 2 Journal of Differential Equations 2 Mathematical Systems Theory 2 SIAM Journal on Mathematical Analysis 2 SIAM Journal on Control 1 International Journal of Control 1 Automatica 1 Information and Control 1 Journal of Optimization Theory and Applications 1 Mathematische Annalen 1 Systems & Control Letters 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 Regelungstechnik und Prozeß-Datenverarbeitung 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Annals of Mathematical Statistics 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Jaune 1 Journal of the Society for Industrial & Applied Mathematics. Series A. Control 1 Interscience Tracts in Pure and Applied Mathematics all top 5 Fields 30 Systems theory; control (93-XX) 19 Probability theory and stochastic processes (60-XX) 9 Information and communication theory, circuits (94-XX) 8 Statistics (62-XX) 5 Ordinary differential equations (34-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 3 Numerical analysis (65-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 409 times in 357 Documents Cited by ▼ Year ▼ Filtering for stochastic processes with applications to guidance. Zbl 0174.21903 Bucy, R. S.; Joseph, P. D. 138 1968 Digital synthesis of non-linear filters. Zbl 0269.93070 Bucy, R. S.; Senne, K. D. 32 1971 Stability and positive supermartingales. Zbl 0203.17505 Bucy, R. S. 27 1965 Global theory of the Riccati equation. Zbl 0155.14403 Bucy, R. S. 21 1967 A priori bounds for the Riccati equation. Zbl 0255.93025 Bucy, R. S. 21 1972 Optimal filtering for correlated noise. Zbl 0157.47401 Bucy, R. S. 18 1967 Canonical minimal realization of a matrix of impulse response sequences. Zbl 0224.93010 Ackermann, J. E.; Bucy, R. S. 18 1971 Generalizations of a theory of Doležal. Zbl 0207.34004 Silverman, L. M.; Bucy, R. S. 17 1970 A representation theorem for positive functionals on involution algebras. Zbl 0132.10804 Bucy, R. S.; Maltese, G. 16 1966 The Riccati equation and its bounds. Zbl 0248.93027 Bucy, R. S. 11 1972 Asymptotic control theory. Zbl 0132.38101 Bellman, R.; Bucy, R. 9 1964 Extreme positive definite functions and Choquet’s representation theorem. Zbl 0132.10901 Bucy, R. S.; Maltese, G. 6 1965 Recurrent sets. Zbl 0137.11802 Bucy, R. S. 6 1965 Periodic equilibria for matrix Riccati equations. Zbl 0343.34031 Bekir, Esmat; Bucy, R. S. 5 1976 Structural stability for the Riccati equation. Zbl 0271.34065 Bucy, R. S. 5 1975 A priori error bounds for the cubic sensor problem. Zbl 0371.93021 Bucy, R. S.; Pages, J. 5 1978 Lectures on discrete time filtering. With the assistance of B.G. Williams, consultant editor: C.S. Burrus. Zbl 0802.93058 Bucy, R. S. 5 1994 Nonlinear filter representation via spline functions. Zbl 0343.93084 Bucy, R. S.; Youssef, Hussein 4 1975 Two-point boundary value problems of linear Hamiltonian systems. Zbl 0155.13104 Bucy, R. S. 4 1967 A negative definite equilibrium and its induced cone of global existence for the Riccati equation. Zbl 0224.34005 Bucy, R. S.; Rodriguez-Canabal, J. 4 1972 Realization of non-linear filters. Zbl 0314.93034 Bucy, R. S. 4 1972 New results in asymptotic control theory. Zbl 0152.09104 Bucy, R. S. 3 1966 New methods for nonlinear filtering. Zbl 0258.93022 Bucy, R. S.; Hecht, C.; Senne, K. D. 3 1973 A matrix cross ratio theorem for the Riccati equation. Zbl 0783.34001 Bucy, R. S.; Williams, B. G. 3 1993 Decision tree design by simulated annealing. Zbl 0784.90104 Bucy, R. S.; Diesposti, R. S. 3 1993 Identification and filtering. Zbl 0538.93059 Bucy, R. S. 2 1983 Hybrid computer synthesis of optimal discrete nonlinear filters. Zbl 0314.93035 Bucy, R. S.; Merritt, M. J.; Miller, D. S. 2 1972 The problem of Hill for systems. Zbl 0317.34035 Bucy, R. S. 2 1975 Minimax control. Zbl 0714.93018 Bucy, R. S.; Namiri, M. K.; Velman, J. R. 2 1990 Information and filtering. Zbl 0442.94001 Bucy, R. S. 2 1979 Singular filtering problems. Zbl 0685.93070 Bucy, R. S.; Jonckheere, E. 1 1989 Distortion rate theory and filtering. Zbl 0477.94017 Bucy, R. S. 1 1982 Determination of steady state behavior for periodic discrete filtering problems. Zbl 0850.93815 Bucy, R. S.; Campbell, L. A. 1 1988 Optimal phase demodulation. Zbl 0334.93042 Bucy, R. S.; Youssef, Hussein 1 1976 An optimal phase demodulator. Zbl 0253.93038 Bucy, R. S.; Mallinckrodt, A. J. 1 1973 Hybrid synthesis of the optimal discrete nonlinear filter. Zbl 0271.93023 Bucy, R. S.; Merritt, M. J.; Miller, D. S. 1 1973 Dependence of the optimal phase demodulator on statistical parameters. Zbl 0299.93035 Bucy, R. S.; Youssef, Hussein 1 1975 Signal space geometry. Zbl 0621.94004 Bucy, R. S. 1 1986 Geometry and multiple direction estimation. Zbl 0754.62078 Bucy, R. S. 1 1991 Pipeline, parallel and serial realization of phase demodulators. Zbl 0363.93039 Bucy, R. S.; Senne, K. D.; Youssef, H. 1 1977 Random processes. Multiplicity theory and canonical decompositions. Zbl 0364.60005 1 1973 Über die Anzahl der Parameter von Mehrgrößensystemen. Zbl 0205.19603 Bucy, R. S.; Ackermann, J. 1 1970 Lectures on discrete time filtering. With the assistance of B.G. Williams, consultant editor: C.S. Burrus. Zbl 0802.93058 Bucy, R. S. 5 1994 A matrix cross ratio theorem for the Riccati equation. Zbl 0783.34001 Bucy, R. S.; Williams, B. G. 3 1993 Decision tree design by simulated annealing. Zbl 0784.90104 Bucy, R. S.; Diesposti, R. S. 3 1993 Geometry and multiple direction estimation. Zbl 0754.62078 Bucy, R. S. 1 1991 Minimax control. Zbl 0714.93018 Bucy, R. S.; Namiri, M. K.; Velman, J. R. 2 1990 Singular filtering problems. Zbl 0685.93070 Bucy, R. S.; Jonckheere, E. 1 1989 Determination of steady state behavior for periodic discrete filtering problems. Zbl 0850.93815 Bucy, R. S.; Campbell, L. A. 1 1988 Signal space geometry. Zbl 0621.94004 Bucy, R. S. 1 1986 Identification and filtering. Zbl 0538.93059 Bucy, R. S. 2 1983 Distortion rate theory and filtering. Zbl 0477.94017 Bucy, R. S. 1 1982 Information and filtering. Zbl 0442.94001 Bucy, R. S. 2 1979 A priori error bounds for the cubic sensor problem. Zbl 0371.93021 Bucy, R. S.; Pages, J. 5 1978 Pipeline, parallel and serial realization of phase demodulators. Zbl 0363.93039 Bucy, R. S.; Senne, K. D.; Youssef, H. 1 1977 Periodic equilibria for matrix Riccati equations. Zbl 0343.34031 Bekir, Esmat; Bucy, R. S. 5 1976 Optimal phase demodulation. Zbl 0334.93042 Bucy, R. S.; Youssef, Hussein 1 1976 Structural stability for the Riccati equation. Zbl 0271.34065 Bucy, R. S. 5 1975 Nonlinear filter representation via spline functions. Zbl 0343.93084 Bucy, R. S.; Youssef, Hussein 4 1975 The problem of Hill for systems. Zbl 0317.34035 Bucy, R. S. 2 1975 Dependence of the optimal phase demodulator on statistical parameters. Zbl 0299.93035 Bucy, R. S.; Youssef, Hussein 1 1975 New methods for nonlinear filtering. Zbl 0258.93022 Bucy, R. S.; Hecht, C.; Senne, K. D. 3 1973 An optimal phase demodulator. Zbl 0253.93038 Bucy, R. S.; Mallinckrodt, A. J. 1 1973 Hybrid synthesis of the optimal discrete nonlinear filter. Zbl 0271.93023 Bucy, R. S.; Merritt, M. J.; Miller, D. S. 1 1973 Random processes. Multiplicity theory and canonical decompositions. Zbl 0364.60005 1 1973 A priori bounds for the Riccati equation. Zbl 0255.93025 Bucy, R. S. 21 1972 The Riccati equation and its bounds. Zbl 0248.93027 Bucy, R. S. 11 1972 A negative definite equilibrium and its induced cone of global existence for the Riccati equation. Zbl 0224.34005 Bucy, R. S.; Rodriguez-Canabal, J. 4 1972 Realization of non-linear filters. Zbl 0314.93034 Bucy, R. S. 4 1972 Hybrid computer synthesis of optimal discrete nonlinear filters. Zbl 0314.93035 Bucy, R. S.; Merritt, M. J.; Miller, D. S. 2 1972 Digital synthesis of non-linear filters. Zbl 0269.93070 Bucy, R. S.; Senne, K. D. 32 1971 Canonical minimal realization of a matrix of impulse response sequences. Zbl 0224.93010 Ackermann, J. E.; Bucy, R. S. 18 1971 Generalizations of a theory of Doležal. Zbl 0207.34004 Silverman, L. M.; Bucy, R. S. 17 1970 Über die Anzahl der Parameter von Mehrgrößensystemen. Zbl 0205.19603 Bucy, R. S.; Ackermann, J. 1 1970 Filtering for stochastic processes with applications to guidance. Zbl 0174.21903 Bucy, R. S.; Joseph, P. D. 138 1968 Global theory of the Riccati equation. Zbl 0155.14403 Bucy, R. S. 21 1967 Optimal filtering for correlated noise. Zbl 0157.47401 Bucy, R. S. 18 1967 Two-point boundary value problems of linear Hamiltonian systems. Zbl 0155.13104 Bucy, R. S. 4 1967 A representation theorem for positive functionals on involution algebras. Zbl 0132.10804 Bucy, R. S.; Maltese, G. 16 1966 New results in asymptotic control theory. Zbl 0152.09104 Bucy, R. S. 3 1966 Stability and positive supermartingales. Zbl 0203.17505 Bucy, R. S. 27 1965 Extreme positive definite functions and Choquet’s representation theorem. Zbl 0132.10901 Bucy, R. S.; Maltese, G. 6 1965 Recurrent sets. Zbl 0137.11802 Bucy, R. S. 6 1965 Asymptotic control theory. Zbl 0132.38101 Bellman, R.; Bucy, R. 9 1964 all cited Publications top 5 cited Publications all top 5 Cited by 490 Authors 20 Bucy, Richard S. 9 Del Moral, Pierre 7 Chistyakov, Viktor Filimonovich 6 Morley, Thomas D. 5 Jódar Sanchez, Lucas Antonio 5 Lo, James Ting-Ho 5 Maltese, George J. 4 Hata, Hiroaki 4 Li, Jing 4 Lindquist, Anders Gunnar 4 Šimandl, Miroslav 3 Alspach, Daniel L. 3 Batista, Pedro 3 Bellman, Richard Ernest 3 Bishop, Adrian N. 3 Bittanti, Sergio 3 Chistyakova, Elena Viktorovna 3 Diamond, Phil 3 Duník, Jindřich 3 Guidorzi, Roberto P. 3 Lainiotis, Demetrios G. 3 MacFarlane, Alistair George James 3 Nagai, Hideo 3 Niestegge, Gerd 3 Oliveira, Paulo Jorge 3 Silvestre, Carlos J. 3 Watanabe, Keigo 3 Wedig, Walter V. 3 Yaz, Engin 2 Balakrishnan, Alampallam Venkatachalaiyer 2 Bashirov, Agamirza E. 2 Cuzzola, Francesco Alessandro 2 Denman, Eugene D. 2 Dessau, Harold R. 2 Dorrah, Hassen T. 2 Fisher, D. Grant 2 Green, William L. 2 Horton, Emma L. 2 Huang, Yulong 2 Ilchmann, Achim 2 Klein, R. L. 2 Kolmanovskii, Vladimir Borisovich 2 Kučera, Vladimir V. 2 Kulhavý, Rudolf 2 Leizarowitz, Arie 2 Li, Ning 2 Nakonechnyi, A. N. 2 Nichols, Spencer T. 2 Omatu, Sigeru 2 O’Reilly, John J. 2 Rowland, James R. 2 Senne, Kenneth D. 2 Soeda, Takashi 2 Sorenson, Harold W. 2 Straka, Ondřej 2 Suzuki, Takao 2 Tintner, Gerhard 2 Tomita, Yutaka 2 Tsertos, Yannis 2 Tugaut, Julian 2 Viegas, Daniel 2 Walk, Harro 2 Yang, Kaifan 2 Yavin, Yaakov 2 Zhang, Yonggang 2 Zhang, Yuhai 1 Aberkane, Samir 1 Abiri, Amnon 1 Abuasbeh, Kinda 1 Acevedo, Walter 1 Ackermann, Juergen E. 1 Acklam, Peter J. 1 Adomian, George 1 Aggarwal, Jake K. 1 Alavi, Seyed Mohammad Mahdi 1 Alengrin, Gerard 1 Anderson, Brian David Outram 1 Anderson, William N. jun. 1 Anger, Bernd 1 Anh, Vo V. 1 Aplevich, J. D. 1 Apte, Amit 1 Asher, Robert B. 1 Atta, Khalid Tourkey 1 Azemi, Asad 1 Bagchi, Arunabha 1 Baraille, Rémy 1 Beavers, Alex N. jun. 1 Bejczy, Antal K. 1 Bekir, Esmat 1 Belletrutti, J. J. 1 Bendikov, Alexander D. 1 Benning, Martin 1 Berkane, Soulaimane 1 Beutler, Frederick J. 1 Bhajekar, S. 1 Bhattacharya, Raktim 1 Bialecki, Agnès 1 Bibov, Alexander 1 Bierman, A. B. ...and 390 more Authors all top 5 Cited in 108 Serials 42 Automatica 20 International Journal of Control 17 Information Sciences 16 International Journal of Control, I. Series 15 International Journal of Systems Science 15 Journal of Mathematical Analysis and Applications 12 Linear Algebra and its Applications 10 Systems & Control Letters 10 Circuits, Systems, and Signal Processing 8 Stochastics 7 Applied Mathematics and Computation 7 Journal of Optimization Theory and Applications 6 Kybernetika 6 The Annals of Applied Probability 5 Computers & Mathematics with Applications 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 SIAM Journal on Control and Optimization 4 Journal of the Franklin Institute 4 Mathematical Biosciences 4 Applied Mathematics and Optimization 4 Journal of Computational and Applied Mathematics 4 Mathematische Annalen 4 Automation and Remote Control 4 Journal of Mathematical Sciences (New York) 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Archiv der Mathematik 3 Journal of Soviet Mathematics 3 Mathematical Systems Theory 3 Optimal Control Applications & Methods 3 Stochastic Processes and their Applications 3 International Journal of Robust and Nonlinear Control 3 Cybernetics and Systems Analysis 2 Advances in Applied Probability 2 Bulletin of the Australian Mathematical Society 2 Journal of Applied Mathematics and Mechanics 2 Journal of Fluid Mechanics 2 Mathematical Notes 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Computer and System Sciences 2 Siberian Mathematical Journal 2 Advances in Applied Mathematics 2 Journal of Theoretical Probability 2 MCSS. Mathematics of Control, Signals, and Systems 2 Applied Mathematical Modelling 2 Electronic Journal of Probability 2 European Journal of Control 2 Abstract and Applied Analysis 2 International Journal of Theoretical and Applied Finance 2 Journal of Applied Mathematics 2 Asian Journal of Control 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Ingenieur-Archiv 1 International Journal for Numerical Methods in Fluids 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Ukrainian Mathematical Journal 1 The Mathematical Intelligencer 1 Canadian Journal of Mathematics 1 Journal of Applied Probability 1 Journal of Econometrics 1 Journal of Functional Analysis 1 Journal of Mathematical Psychology 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Trabajos de Estadistica y de Investigacion Operativa 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 SIAM Journal on Algebraic and Discrete Methods 1 Acta Applicandae Mathematicae 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Probability Theory and Related Fields 1 Mathematical and Computer Modelling 1 Formal Aspects of Computing 1 Journal of Applied Mathematics and Stochastic Analysis 1 Annals of Operations Research 1 Neural Computation 1 International Journal of Adaptive Control and Signal Processing 1 Computational Mathematics and Mathematical Physics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Computational Statistics and Data Analysis 1 Journal of Dynamics and Differential Equations 1 Russian Mathematics 1 SIAM Journal on Scientific Computing 1 Bernoulli 1 The Journal of Fourier Analysis and Applications 1 Finance and Stochastics 1 Positivity 1 Optimization and Engineering 1 Lobachevskii Journal of Mathematics 1 Scandinavian Actuarial Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Applied Mathematics and Computing 1 Journal of Statistical Mechanics: Theory and Experiment 1 Boundary Value Problems 1 Inverse Problems and Imaging ...and 8 more Serials all top 5 Cited in 38 Fields 215 Systems theory; control (93-XX) 72 Probability theory and stochastic processes (60-XX) 46 Statistics (62-XX) 32 Ordinary differential equations (34-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 31 Numerical analysis (65-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Functional analysis (46-XX) 15 Operator theory (47-XX) 12 Partial differential equations (35-XX) 12 Operations research, mathematical programming (90-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Computer science (68-XX) 9 Information and communication theory, circuits (94-XX) 5 Mechanics of particles and systems (70-XX) 4 History and biography (01-XX) 4 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 3 Combinatorics (05-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year