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## Hermes, Henry

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 Author ID: hermes.henry Published as: Hermes, H.; Hermes, Henry
 Documents Indexed: 66 Publications since 1963, including 2 Books Biographic References: 1 Publication
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#### 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.
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#### 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
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#### 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)

#### 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 0203.47504
Hermes, H.; LaSalle, J. P.
1969
Nilpotent and high-order approximations of vector field systems. Zbl 0733.93062
Hermes, Henry
1991
The generalized differential equation $$\dot x\in R(t,x)$$. Zbl 0191.38803
Hermes, H.
1970
Nonlinear controllability via Lie theory. Zbl 0229.93012
Haynes, G. W.; Hermes, H.
1970
Discontinuous vector fields and feedback control. Zbl 0183.15905
Hermes, H.
1967
Nilpotent approximations of control systems and distributions. Zbl 0604.93031
Hermes, Henry
1986
Lie algebras of vector fields and local approximation of attainable sets. Zbl 0388.49025
Hermes, Henry
1978
Control systems which generate decomposable Lie algebras. Zbl 0496.49021
Hermes, Henry
1982
On the synthesis of a stabilizing feedback control via Lie algebraic methods. Zbl 0477.93046
Hermes, H.
1980
Asymptotically stabilizing feedback controls. Zbl 0736.93069
Hermes, Henry
1991
Calculus of set valued functions and control. Zbl 0175.05101
Hermes, H.
1968
Controllability and the singular problem. Zbl 0163.10803
Hermes, H.
1964
Controlled stability. Zbl 0385.93010
Hermes, H.
1977
On local and global controllability. Zbl 0255.93005
Hermes, H.
1974
Asymptotically stabilizing feedback controls and the nonlinear regulator problem. Zbl 0738.93061
Hermes, Henry
1991
Homogeneous coordinates and continuous asymptotically stabilizing feedback controls. Zbl 0711.93069
Hermes, Henry
1990
Local controllability and sufficient conditions in singular problems. Zbl 0282.93010
Hermes, H.
1976
Homogeneous feedback controls for homogeneous systems. Zbl 0877.93088
Hermes, Henry
1995
On continuous and measurable selections and the existence of solutions of generalized differential equations. Zbl 0214.09802
Hermes, H.
1971
On continuous and measurable selections and the existence of solutions of generalized differential equations. Zbl 0202.10002
Hermes, H.
1971
On local controllability. Zbl 0486.49022
Hermes, Henry
1982
On the nonlinear control problem with control appearing linearly. Zbl 0145.12602
Hermes, H.; Haynes, G.
1963
Local controllability and sufficient conditions in singular problems. II. Zbl 0351.93009
Hermes, Henry
1976
On the closure and convexity of attainable sets in finite and infinite dimensions. Zbl 0166.09301
Hermes, H.
1967
On the structure of attainable sets for generalized differential equations and control systems. Zbl 0208.17203
Hermes, H.
1971
Asymptotic stabilization of planar systems. Zbl 0749.93072
Hermes, Henry
1991
On a stabilizing feedback attitude control. Zbl 0417.93060
Hermes, H.
1980
Local controllability of observables in finite and infinite dimensional nonlinear control systems. Zbl 0418.93008
Hermes, H.
1979
The equivalence and approximation of optimal control problems. Zbl 0144.12503
Hermes, H.
1965
Large-time local controllability via homogeneous approximations. Zbl 0859.93010
Hermes, Henry
1996
Controllability of nonlinear delay differential equations. Zbl 0409.49029
Hermes, H.
1979
High order algebraic conditions for controllability. Zbl 0355.93009
Hermes, Henry
1976
Attainable sets and generalized geodesic spheres. Zbl 0155.42602
Hermes, H.
1967
Nilpotent bases for distributions and control systems. Zbl 0507.58007
Hermes, Henry; Lundell, Albert; Sullivan, Dennis
1984
Resonance, stabilizing feedback controls, and regularity of viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 0861.93025
Hermes, Henry
1996
A note on the range of a vector measure; application to the theory of optimal control. Zbl 0127.28001
Hermes, H.
1964
Distributions and the Lie algebras their bases can generate. Zbl 0689.58004
Hermes, Henry
1989
Feedback synthesis and positive, local solutions to Hamilton-Jacobi- Bellman equations. Zbl 0673.49010
Hermes, Henry
1988
Involutive subdistributions and canonical forms for distributions and control systems. Zbl 0621.93023
Hermes, Henry
1986
The explicit synthesis of stabilizing (time optimal) feedback controls for the attitude control of a rotating satellite. Zbl 0575.93026
Hermes, Henry; Hogenson, David
1985
High order local approximation of attainable sets. Zbl 0435.93018
Hermes, Henry
1979
On necessary and sufficient conditions for local controllability. Zbl 0274.93005
Hermes, Henry
1973
Smooth homogeneous asymptotically stabilizing feedback controls. Zbl 0872.93072
Hermes, H.
1997
Vector field approximations; flow homogeneity. Zbl 0793.34033
Hermes, H.
1993
Distributions having bases which generate finite dimensional Lie algebras. Zbl 0634.93038
Hermes, H.
1987
Nilpotent bases and approximations of distributions and control systems. Zbl 0596.93026
Hermes, Henry
1984
On local controllability. Zbl 0353.93015
Hermes, Henry
1976
Necessary and sufficient conditions for local controllability and time optimality. Zbl 0377.49026
Hermes, Henry
1975
The geometry of time-optimal control. Zbl 0238.49021
Hermes, Henry
1972
Smoothing and approximating control problems. Zbl 0216.42604
Hermes, H.
1967
Smooth homogeneous asymptotically stabilizing feedback controls. Zbl 0872.93072
Hermes, H.
1997
Large-time local controllability via homogeneous approximations. Zbl 0859.93010
Hermes, Henry
1996
Resonance, stabilizing feedback controls, and regularity of viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 0861.93025
Hermes, Henry
1996
Homogeneous feedback controls for homogeneous systems. Zbl 0877.93088
Hermes, Henry
1995
Vector field approximations; flow homogeneity. Zbl 0793.34033
Hermes, H.
1993
Nilpotent and high-order approximations of vector field systems. Zbl 0733.93062
Hermes, Henry
1991
Asymptotically stabilizing feedback controls. Zbl 0736.93069
Hermes, Henry
1991
Asymptotically stabilizing feedback controls and the nonlinear regulator problem. Zbl 0738.93061
Hermes, Henry
1991
Asymptotic stabilization of planar systems. Zbl 0749.93072
Hermes, Henry
1991
Homogeneous coordinates and continuous asymptotically stabilizing feedback controls. Zbl 0711.93069
Hermes, Henry
1990
Distributions and the Lie algebras their bases can generate. Zbl 0689.58004
Hermes, Henry
1989
Feedback synthesis and positive, local solutions to Hamilton-Jacobi- Bellman equations. Zbl 0673.49010
Hermes, Henry
1988
Distributions having bases which generate finite dimensional Lie algebras. Zbl 0634.93038
Hermes, H.
1987
Nilpotent approximations of control systems and distributions. Zbl 0604.93031
Hermes, Henry
1986
Involutive subdistributions and canonical forms for distributions and control systems. Zbl 0621.93023
Hermes, Henry
1986
The explicit synthesis of stabilizing (time optimal) feedback controls for the attitude control of a rotating satellite. Zbl 0575.93026
Hermes, Henry; Hogenson, David
1985
Nilpotent bases for distributions and control systems. Zbl 0507.58007
Hermes, Henry; Lundell, Albert; Sullivan, Dennis
1984
Nilpotent bases and approximations of distributions and control systems. Zbl 0596.93026
Hermes, Henry
1984
Control systems which generate decomposable Lie algebras. Zbl 0496.49021
Hermes, Henry
1982
On local controllability. Zbl 0486.49022
Hermes, Henry
1982
On the synthesis of a stabilizing feedback control via Lie algebraic methods. Zbl 0477.93046
Hermes, H.
1980
On a stabilizing feedback attitude control. Zbl 0417.93060
Hermes, H.
1980
Local controllability of observables in finite and infinite dimensional nonlinear control systems. Zbl 0418.93008
Hermes, H.
1979
Controllability of nonlinear delay differential equations. Zbl 0409.49029
Hermes, H.
1979
High order local approximation of attainable sets. Zbl 0435.93018
Hermes, Henry
1979
Lie algebras of vector fields and local approximation of attainable sets. Zbl 0388.49025
Hermes, Henry
1978
Controlled stability. Zbl 0385.93010
Hermes, H.
1977
Local controllability and sufficient conditions in singular problems. Zbl 0282.93010
Hermes, H.
1976
Local controllability and sufficient conditions in singular problems. II. Zbl 0351.93009
Hermes, Henry
1976
High order algebraic conditions for controllability. Zbl 0355.93009
Hermes, Henry
1976
On local controllability. Zbl 0353.93015
Hermes, Henry
1976
Necessary and sufficient conditions for local controllability and time optimality. Zbl 0377.49026
Hermes, Henry
1975
On local and global controllability. Zbl 0255.93005
Hermes, H.
1974
On necessary and sufficient conditions for local controllability. Zbl 0274.93005
Hermes, Henry
1973
The geometry of time-optimal control. Zbl 0238.49021
Hermes, Henry
1972
On continuous and measurable selections and the existence of solutions of generalized differential equations. Zbl 0214.09802
Hermes, H.
1971
On continuous and measurable selections and the existence of solutions of generalized differential equations. Zbl 0202.10002
Hermes, H.
1971
On the structure of attainable sets for generalized differential equations and control systems. Zbl 0208.17203
Hermes, H.
1971
The generalized differential equation $$\dot x\in R(t,x)$$. Zbl 0191.38803
Hermes, H.
1970
Nonlinear controllability via Lie theory. Zbl 0229.93012
Haynes, G. W.; Hermes, H.
1970
Functional analysis and time optimal control. Zbl 0203.47504
Hermes, H.; LaSalle, J. P.
1969
Calculus of set valued functions and control. Zbl 0175.05101
Hermes, H.
1968
Discontinuous vector fields and feedback control. Zbl 0183.15905
Hermes, H.
1967
On the closure and convexity of attainable sets in finite and infinite dimensions. Zbl 0166.09301
Hermes, H.
1967
Attainable sets and generalized geodesic spheres. Zbl 0155.42602
Hermes, H.
1967
Smoothing and approximating control problems. Zbl 0216.42604
Hermes, H.
1967
The equivalence and approximation of optimal control problems. Zbl 0144.12503
Hermes, H.
1965
Controllability and the singular problem. Zbl 0163.10803
Hermes, H.
1964
A note on the range of a vector measure; application to the theory of optimal control. Zbl 0127.28001
Hermes, H.
1964
On the nonlinear control problem with control appearing linearly. Zbl 0145.12602
Hermes, H.; Haynes, G.
1963
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#### 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
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#### 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
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#### 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)