Edit Profile Hermes, Henry Compute Distance To: Compute Author ID: hermes.henry Published as: Hermes, H.; Hermes, Henry Documents Indexed: 66 Publications since 1963, including 2 Books Biographic References: 1 Publication all top 5 Co-Authors 59 single-authored 2 Haynes, George W. 1 Ferreyra, Guillermo S. 1 Gardner, Robert Brown 1 Hogenson, David 1 Jakubczyk, Bronisław 1 LaSalle, Joseph Pierre 1 Lundell, Albert T. 1 Sullivan, Dennis Parnell 1 Sussmann, Hector J. all top 5 Serials 8 Journal of Differential Equations 7 SIAM Journal on Control and Optimization 5 SIAM Journal on Control 3 Proceedings of the American Mathematical Society 3 Systems & Control Letters 2 Journal of Mathematical Analysis and Applications 2 SIAM Review 2 Journal of the Society for Industrial & Applied Mathematics. Series A. Control 2 Nonlinear Analysis. Theory, Methods & Applications 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Journal of Optimization Theory and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 SIAM Journal on Mathematical Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Mathematics and Mechanics 1 Mathematics in Science and Engineering 1 Proceedings of Symposia in Pure Mathematics all top 5 Fields 46 Systems theory; control (93-XX) 10 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Manifolds and cell complexes (57-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Nonassociative rings and algebras (17-XX) 3 Partial differential equations (35-XX) 3 Mechanics of particles and systems (70-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 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 745 times in 539 Documents Cited by ▼ Year ▼ Functional analysis and time optimal control. Zbl 0203.47504Hermes, H.; LaSalle, J. P. 162 1969 Nilpotent and high-order approximations of vector field systems. Zbl 0733.93062Hermes, Henry 75 1991 The generalized differential equation \(\dot x\in R(t,x)\). Zbl 0191.38803Hermes, H. 42 1970 Nonlinear controllability via Lie theory. Zbl 0229.93012Haynes, G. W.; Hermes, H. 39 1970 Discontinuous vector fields and feedback control. Zbl 0183.15905Hermes, H. 30 1967 Nilpotent approximations of control systems and distributions. Zbl 0604.93031Hermes, Henry 29 1986 Lie algebras of vector fields and local approximation of attainable sets. Zbl 0388.49025Hermes, Henry 28 1978 Control systems which generate decomposable Lie algebras. Zbl 0496.49021Hermes, Henry 26 1982 On the synthesis of a stabilizing feedback control via Lie algebraic methods. Zbl 0477.93046Hermes, H. 20 1980 Asymptotically stabilizing feedback controls. Zbl 0736.93069Hermes, Henry 19 1991 Calculus of set valued functions and control. Zbl 0175.05101Hermes, H. 19 1968 Controllability and the singular problem. Zbl 0163.10803Hermes, H. 17 1964 Controlled stability. Zbl 0385.93010Hermes, H. 16 1977 On local and global controllability. Zbl 0255.93005Hermes, H. 16 1974 Asymptotically stabilizing feedback controls and the nonlinear regulator problem. Zbl 0738.93061Hermes, Henry 15 1991 Homogeneous coordinates and continuous asymptotically stabilizing feedback controls. Zbl 0711.93069Hermes, Henry 15 1990 Local controllability and sufficient conditions in singular problems. Zbl 0282.93010Hermes, H. 15 1976 Homogeneous feedback controls for homogeneous systems. Zbl 0877.93088Hermes, Henry 14 1995 On continuous and measurable selections and the existence of solutions of generalized differential equations. Zbl 0214.09802Hermes, H. 14 1971 On continuous and measurable selections and the existence of solutions of generalized differential equations. Zbl 0202.10002Hermes, H. 12 1971 On local controllability. Zbl 0486.49022Hermes, Henry 11 1982 On the nonlinear control problem with control appearing linearly. Zbl 0145.12602Hermes, H.; Haynes, G. 10 1963 Local controllability and sufficient conditions in singular problems. II. Zbl 0351.93009Hermes, Henry 9 1976 On the closure and convexity of attainable sets in finite and infinite dimensions. Zbl 0166.09301Hermes, H. 9 1967 On the structure of attainable sets for generalized differential equations and control systems. Zbl 0208.17203Hermes, H. 8 1971 Asymptotic stabilization of planar systems. Zbl 0749.93072Hermes, Henry 7 1991 On a stabilizing feedback attitude control. Zbl 0417.93060Hermes, H. 6 1980 Local controllability of observables in finite and infinite dimensional nonlinear control systems. Zbl 0418.93008Hermes, H. 6 1979 The equivalence and approximation of optimal control problems. Zbl 0144.12503Hermes, H. 6 1965 Large-time local controllability via homogeneous approximations. Zbl 0859.93010Hermes, Henry 5 1996 Controllability of nonlinear delay differential equations. Zbl 0409.49029Hermes, H. 5 1979 High order algebraic conditions for controllability. Zbl 0355.93009Hermes, Henry 5 1976 Attainable sets and generalized geodesic spheres. Zbl 0155.42602Hermes, H. 5 1967 Nilpotent bases for distributions and control systems. Zbl 0507.58007Hermes, Henry; Lundell, Albert; Sullivan, Dennis 4 1984 Resonance, stabilizing feedback controls, and regularity of viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 0861.93025Hermes, Henry 3 1996 A note on the range of a vector measure; application to the theory of optimal control. Zbl 0127.28001Hermes, H. 3 1964 Distributions and the Lie algebras their bases can generate. Zbl 0689.58004Hermes, Henry 2 1989 Feedback synthesis and positive, local solutions to Hamilton-Jacobi- Bellman equations. Zbl 0673.49010Hermes, Henry 2 1988 Involutive subdistributions and canonical forms for distributions and control systems. Zbl 0621.93023Hermes, Henry 2 1986 The explicit synthesis of stabilizing (time optimal) feedback controls for the attitude control of a rotating satellite. Zbl 0575.93026Hermes, Henry; Hogenson, David 2 1985 High order local approximation of attainable sets. Zbl 0435.93018Hermes, Henry 2 1979 On necessary and sufficient conditions for local controllability. Zbl 0274.93005Hermes, Henry 2 1973 Smooth homogeneous asymptotically stabilizing feedback controls. Zbl 0872.93072Hermes, H. 1 1997 Vector field approximations; flow homogeneity. Zbl 0793.34033Hermes, H. 1 1993 Distributions having bases which generate finite dimensional Lie algebras. Zbl 0634.93038Hermes, H. 1 1987 Nilpotent bases and approximations of distributions and control systems. Zbl 0596.93026Hermes, Henry 1 1984 On local controllability. Zbl 0353.93015Hermes, Henry 1 1976 Necessary and sufficient conditions for local controllability and time optimality. Zbl 0377.49026Hermes, Henry 1 1975 The geometry of time-optimal control. Zbl 0238.49021Hermes, Henry 1 1972 Smoothing and approximating control problems. Zbl 0216.42604Hermes, H. 1 1967 Smooth homogeneous asymptotically stabilizing feedback controls. Zbl 0872.93072Hermes, H. 1 1997 Large-time local controllability via homogeneous approximations. Zbl 0859.93010Hermes, Henry 5 1996 Resonance, stabilizing feedback controls, and regularity of viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 0861.93025Hermes, Henry 3 1996 Homogeneous feedback controls for homogeneous systems. Zbl 0877.93088Hermes, Henry 14 1995 Vector field approximations; flow homogeneity. Zbl 0793.34033Hermes, H. 1 1993 Nilpotent and high-order approximations of vector field systems. Zbl 0733.93062Hermes, Henry 75 1991 Asymptotically stabilizing feedback controls. Zbl 0736.93069Hermes, Henry 19 1991 Asymptotically stabilizing feedback controls and the nonlinear regulator problem. Zbl 0738.93061Hermes, Henry 15 1991 Asymptotic stabilization of planar systems. Zbl 0749.93072Hermes, Henry 7 1991 Homogeneous coordinates and continuous asymptotically stabilizing feedback controls. Zbl 0711.93069Hermes, Henry 15 1990 Distributions and the Lie algebras their bases can generate. Zbl 0689.58004Hermes, Henry 2 1989 Feedback synthesis and positive, local solutions to Hamilton-Jacobi- Bellman equations. Zbl 0673.49010Hermes, Henry 2 1988 Distributions having bases which generate finite dimensional Lie algebras. Zbl 0634.93038Hermes, H. 1 1987 Nilpotent approximations of control systems and distributions. Zbl 0604.93031Hermes, Henry 29 1986 Involutive subdistributions and canonical forms for distributions and control systems. Zbl 0621.93023Hermes, Henry 2 1986 The explicit synthesis of stabilizing (time optimal) feedback controls for the attitude control of a rotating satellite. Zbl 0575.93026Hermes, Henry; Hogenson, David 2 1985 Nilpotent bases for distributions and control systems. Zbl 0507.58007Hermes, Henry; Lundell, Albert; Sullivan, Dennis 4 1984 Nilpotent bases and approximations of distributions and control systems. Zbl 0596.93026Hermes, Henry 1 1984 Control systems which generate decomposable Lie algebras. Zbl 0496.49021Hermes, Henry 26 1982 On local controllability. Zbl 0486.49022Hermes, Henry 11 1982 On the synthesis of a stabilizing feedback control via Lie algebraic methods. Zbl 0477.93046Hermes, H. 20 1980 On a stabilizing feedback attitude control. Zbl 0417.93060Hermes, H. 6 1980 Local controllability of observables in finite and infinite dimensional nonlinear control systems. Zbl 0418.93008Hermes, H. 6 1979 Controllability of nonlinear delay differential equations. Zbl 0409.49029Hermes, H. 5 1979 High order local approximation of attainable sets. Zbl 0435.93018Hermes, Henry 2 1979 Lie algebras of vector fields and local approximation of attainable sets. Zbl 0388.49025Hermes, Henry 28 1978 Controlled stability. Zbl 0385.93010Hermes, H. 16 1977 Local controllability and sufficient conditions in singular problems. Zbl 0282.93010Hermes, H. 15 1976 Local controllability and sufficient conditions in singular problems. II. Zbl 0351.93009Hermes, Henry 9 1976 High order algebraic conditions for controllability. Zbl 0355.93009Hermes, Henry 5 1976 On local controllability. Zbl 0353.93015Hermes, Henry 1 1976 Necessary and sufficient conditions for local controllability and time optimality. Zbl 0377.49026Hermes, Henry 1 1975 On local and global controllability. Zbl 0255.93005Hermes, H. 16 1974 On necessary and sufficient conditions for local controllability. Zbl 0274.93005Hermes, Henry 2 1973 The geometry of time-optimal control. Zbl 0238.49021Hermes, Henry 1 1972 On continuous and measurable selections and the existence of solutions of generalized differential equations. Zbl 0214.09802Hermes, H. 14 1971 On continuous and measurable selections and the existence of solutions of generalized differential equations. Zbl 0202.10002Hermes, H. 12 1971 On the structure of attainable sets for generalized differential equations and control systems. Zbl 0208.17203Hermes, H. 8 1971 The generalized differential equation \(\dot x\in R(t,x)\). Zbl 0191.38803Hermes, H. 42 1970 Nonlinear controllability via Lie theory. Zbl 0229.93012Haynes, G. W.; Hermes, H. 39 1970 Functional analysis and time optimal control. Zbl 0203.47504Hermes, H.; LaSalle, J. P. 162 1969 Calculus of set valued functions and control. Zbl 0175.05101Hermes, H. 19 1968 Discontinuous vector fields and feedback control. Zbl 0183.15905Hermes, H. 30 1967 On the closure and convexity of attainable sets in finite and infinite dimensions. Zbl 0166.09301Hermes, H. 9 1967 Attainable sets and generalized geodesic spheres. Zbl 0155.42602Hermes, H. 5 1967 Smoothing and approximating control problems. Zbl 0216.42604Hermes, H. 1 1967 The equivalence and approximation of optimal control problems. Zbl 0144.12503Hermes, H. 6 1965 Controllability and the singular problem. Zbl 0163.10803Hermes, H. 17 1964 A note on the range of a vector measure; application to the theory of optimal control. Zbl 0127.28001Hermes, H. 3 1964 On the nonlinear control problem with control appearing linearly. Zbl 0145.12602Hermes, H.; Haynes, G. 10 1963 all cited Publications top 5 cited Publications all top 5 Cited by 594 Authors 19 Hermes, Henry 12 Chukwu, Ethelbert Nwakuche 10 Hájek, Otomar 8 Dauer, Jerald P. 8 Qian, Chunjiang 7 Bressan, Alberto 7 Coron, Jean-Michel 7 Efimov, Denis V. 7 Tsinias, John 6 Agrachev, Andreĭ Aleksandrovich 6 Chistyakov, Vyacheslav V. 6 Krastanov, Mikhail Ivanov 6 Perruquetti, Wilfrid 6 Stern, Ronald Jay 5 Clarke, Francis H. 5 Ignatovich, Svetlana Yu. 5 Jerbi, Hamadi 5 Lin, Wei 5 Margaliot, Michael 5 Menini, Laura 5 Polyakov, Andrey 5 Teo, Kok Lay 5 Tornambè, Antonio 4 Aeyels, Dirk 4 Ahmed, Nasir Uddin 4 Alt, Walter 4 Ancona, Fabio 4 Artstein, Zvi 4 Bernuau, Emmanuel 4 De Blasi, Francesco Saverio 4 Gamkrelidze, Revaz Valerianovich 4 Goebel, Rafal 4 Jurdjevic, Velimir 4 Mignanego, Fausto 4 Papageorgiou, Nikolaos S. 4 Pieri, Graziano 4 Sussmann, Hector J. 4 Teel, Andrew Richard 4 Tie, Lin 4 Ukhobotov, Viktor Ivanovich 3 Balachandran, Krishnan 3 Banks, Harvey Thomas 3 Bonnard, Bernard 3 Bridgland, T. F. jun. 3 Brunovský, Pavol 3 Choi, Woocheol 3 Colombo, Giovanni 3 Dulȩba, Ignacy 3 Gonçalves, J. Basto 3 Grasse, Kevin A. 3 Han, Zhengzhi 3 Huang, Jun 3 Jacobs, Marc Q. 3 Kawski, Matthias 3 Kharrat, Thouraya 3 Kupka, Ivan A. K. 3 Mordukhovich, Boris S. 3 Pianigiani, Giulio 3 Ponge, Raphaël S. 3 Popescu, Mihai Florin 3 Ralescu, Dan A. 3 Sachkova, Elena F. 3 Sarychev, Andrei V. 3 Selivanova, Svetlana V. 3 Sepulchre, Rodolphe J. 3 Sklyar, Grigory Mikhailovitch 3 Stefani, Gianna 3 Vakhrameev, S. A. 3 Zerrik, El Hassan 3 Zhang, Junfeng 2 Anzaldo-Meneses, Alfonso 2 Ardentov, Andrey A. 2 Ayala, Victor 2 Bacciotti, Andrea 2 Bakolas, Efstathios 2 Balder, Erik J. 2 Ban, Jan 2 Bardi, Martino 2 Barraquand, Jérôme 2 Bayen, Térence 2 Bonifacius, Lucas 2 Brockett, Roger Ware 2 Byrnes, Christopher Ian 2 Cai, Kaiyuan 2 Cai, Zuowei 2 Cannarsa, Piermarco 2 Cubiotti, Paolo 2 Ding, Shihong 2 Dunn, Joseph C. 2 El Boukhari, Nihale 2 Elliott, David L. 2 Everitt, William Norrie 2 Fisher, Michael E. 2 Frankowska, Hélène 2 Gerdts, Matthias 2 Ghezzi, Roberta 2 Gil, María Angeles 2 Goblet, Jordan 2 Grochowski, Marek 2 Grossman, Robert L. ...and 494 more Authors all top 5 Cited in 130 Serials 57 Journal of Optimization Theory and Applications 53 Systems & Control Letters 41 Journal of Mathematical Analysis and Applications 38 Journal of Differential Equations 31 Automatica 19 International Journal of Control 17 Mathematical Systems Theory 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Journal of Mathematical Sciences (New York) 11 Journal of Dynamical and Control Systems 10 MCSS. Mathematics of Control, Signals, and Systems 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Applied Mathematics and Optimization 8 Nonlinear Analysis. Theory, Methods & Applications 7 International Journal of Systems Science 6 Journal of Soviet Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Acta Applicandae Mathematicae 5 Kybernetika 5 SIAM Journal on Control and Optimization 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 European Journal of Control 4 Journal of the Franklin Institute 4 Proceedings of the American Mathematical Society 4 Automation and Remote Control 4 Nonlinear Dynamics 4 Differential Equations 3 Computers & Mathematics with Applications 3 Journal of Applied Mathematics and Mechanics 3 Journal of Approximation Theory 3 Transactions of the American Mathematical Society 3 Calculus of Variations and Partial Differential Equations 3 Abstract and Applied Analysis 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Systems Science and Complexity 3 Proceedings of the Steklov Institute of Mathematics 3 Mathematical Control and Related Fields 2 Journal of Mathematical Physics 2 Mathematical Notes 2 Ukrainian Mathematical Journal 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Computing 2 Fuzzy Sets and Systems 2 Journal of Computer and System Sciences 2 Journal of Economic Theory 2 Mathematische Annalen 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Rendiconti del Seminario Matematico della Università di Padova 2 International Journal of Robust and Nonlinear Control 2 Set-Valued Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematical Finance 2 Regular and Chaotic Dynamics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 International Journal of Control, I. Series 2 Set-Valued and Variational Analysis 2 Asian Journal of Control 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Advances in Applied Probability 1 Biological Cybernetics 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 International Journal of General Systems 1 International Journal of Theoretical Physics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Dissertationes Mathematicae 1 Information Sciences 1 International Journal of Game Theory 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of Mathematical Psychology 1 Mathematica Slovaca 1 Numerical Functional Analysis and Optimization 1 Opsearch 1 Siberian Mathematical Journal 1 Optimal Control Applications & Methods 1 Circuits, Systems, and Signal Processing 1 Stochastic Analysis and Applications 1 Optimization 1 Probability Theory and Related Fields 1 Algorithmica 1 Applied Mathematics Letters 1 Trabajos de Investigacion Operativa 1 Journal of Scientific Computing 1 Neural Networks 1 Japan Journal of Industrial and Applied Mathematics 1 Differential Geometry and its Applications 1 Applied Mathematical Modelling 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations ...and 30 more Serials all top 5 Cited in 39 Fields 350 Systems theory; control (93-XX) 154 Calculus of variations and optimal control; optimization (49-XX) 88 Ordinary differential equations (34-XX) 25 Differential geometry (53-XX) 22 Operations research, mathematical programming (90-XX) 21 Measure and integration (28-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 General topology (54-XX) 17 Mechanics of particles and systems (70-XX) 16 Real functions (26-XX) 16 Numerical analysis (65-XX) 15 Partial differential equations (35-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Operator theory (47-XX) 14 Probability theory and stochastic processes (60-XX) 14 Biology and other natural sciences (92-XX) 13 Manifolds and cell complexes (57-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Functional analysis (46-XX) 10 Topological groups, Lie groups (22-XX) 7 Nonassociative rings and algebras (17-XX) 7 Convex and discrete geometry (52-XX) 5 Mathematical logic and foundations (03-XX) 4 Computer science (68-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year