## Sussmann, Hector J.

Compute Distance To:
 Author ID: sussmann.hector-j Published as: Sussmann, Hector J.; Sussmann, H. J.; Sussmann, Héctor J.; Sussman, Hector J.; Sussman, Héctor J.; Sussmann, Héctor; Sussman, H. J.; Sussmann, H.
 Documents Indexed: 117 Publications since 1970, including 2 Books 5 Contributions as Editor Co-Authors: 32 Co-Authors with 41 Joint Publications 1,095 Co-Co-Authors
all top 5

### Co-Authors

 81 single-authored 7 Sontag, Eduardo D. 4 Liu, Wensheng 3 Jurdjevic, Velimir 3 Kokotovic, Petar V. 2 Brockett, Roger Ware 2 Ferreyra, Guillermo S. 2 Hazewinkel, Michiel 2 Levitt, Norman 2 Marcus, Steven I. 2 Nerurkar, Mahesh G. 2 Willems, Jan Camiel 2 Yang, Yudi 1 Baillieul, John B. 1 Bumby, Richard T. 1 Chitour, Yacine 1 Fliess, Michel 1 Gardner, Robert Brown 1 Grasse, Kevin A. 1 Hermes, Henry 1 Kawski, Matthias 1 Lafferriere, Gerardo 1 Łojasiewicz, Stanisław jun. 1 Millman, Richard S. 1 Mordukhovich, Boris S. 1 Piccoli, Benedetto 1 Puel, Jean-Pierre 1 Rampazzo, Franco 1 Saberi, Ali 1 Sastry, Shankar S. 1 Schättler, Heinz Michael 1 Vasconcelos, Wolmer V. 1 Zahler, Raphael S.
all top 5

### Serials

 11 SIAM Journal on Control and Optimization 7 Journal of Differential Equations 5 Systems & Control Letters 3 IEEE Transactions on Automatic Control 3 Bulletin of the American Mathematical Society 2 Czechoslovak Mathematical Journal 2 Mathematical Systems Theory 2 Proceedings of the American Mathematical Society 2 Synthese 2 Transactions of the American Mathematical Society 2 SIAM Journal on Control 2 The IMA Volumes in Mathematics and its Applications 1 Communications on Pure and Applied Mathematics 1 IEEE Transactions on Information Theory 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Stochastics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Annals of Probability 1 Canadian Journal of Mathematics 1 Journal of Differential Geometry 1 Journal of Optimization Theory and Applications 1 Journal of Pure and Applied Algebra 1 Memoirs of the American Mathematical Society 1 Boletim da Sociedade Portuguesa de Matemática 1 Revista Matemática Iberoamericana 1 Complex Systems 1 Set-Valued Analysis 1 Proceedings of Symposia in Pure Mathematics 1 Progress in Mathematics 1 Pure and Applied Mathematics, Marcel Dekker 1 SMF Journée Annuelle 1 Journal of Modern Dynamics
all top 5

### Fields

 74 Systems theory; control (93-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 21 Global analysis, analysis on manifolds (58-XX) 15 Manifolds and cell complexes (57-XX) 13 Ordinary differential equations (34-XX) 11 Probability theory and stochastic processes (60-XX) 9 Nonassociative rings and algebras (17-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 General and overarching topics; collections (00-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 5 Operator theory (47-XX) 5 Statistics (62-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Biology and other natural sciences (92-XX) 2 Topological groups, Lie groups (22-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

105 Publications have been cited 2,345 times in 1,729 Documents Cited by Year
Orbits of families of vector fields and integrability of distributions. Zbl 0274.58002
Sussmann, Hector J.
1973
Controllability of nonlinear systems. Zbl 0242.49040
Sussmann, Hector J.; Jurdjevic, Velimir
1972
A general result on the stabilization of linear systems using bounded controls. Zbl 0811.93046
Sussmann, Héctor J.; Sontag, Eduardo D.; Yang, Yudi
1994
On the gap between deterministic and stochastic ordinary differential equations. Zbl 0391.60056
Sussmann, Hector J.
1978
Control systems on Lie groups. Zbl 0237.93027
Jurdjevic, Velimir; Sussmann, Hector J.
1972
A general theorem on local controllability. Zbl 0629.93012
Sussmann, H. J.
1987
The peaking phenomenon and the global stabilization of nonlinear systems. Zbl 0749.93070
Sussmann, H. J.; Kokotovic, P. V.
1991
Global stabilization of partially linear composite systems. Zbl 0719.93071
Saberi, A.; Kokotovic, P. V.; Sussmann, H. J.
1990
A positive real condition for global stabilization of nonlinear systems. Zbl 0684.93066
Kokotovic, P. V.; Sussmann, H. J.
1989
Subanalytic sets and feedback control. Zbl 0407.93010
Sussmann, Hector J.
1979
Lie brackets and local controllability: A sufficient condition for scalar-input systems. Zbl 0523.49026
Sussmann, Hector J.
1983
Existence and uniqueness of minimal realizations of nonlinear systems. Zbl 0354.93017
Sussman, Hector J.
1977
Remarks on the pole-shifting problem over rings. Zbl 0455.15009
Bumby, R.; Sontag, E. D.; Sussmann, H. J.; Vasconcelos, W.
1981
Shortest paths for sub-Riemannian metrics on rank-two distributions. Zbl 0843.53038
Liu, Wensheng; Sussman, Héctor J.
1995
Some properties of vector field systems that are not altered by small perturbations. Zbl 0346.49036
Sussmann, Hector J.
1976
Lie brackets, real analyticity and geometric control. Zbl 0545.93002
Sussmann, H. J.
1983
Single-input observability of continuous-time systems. Zbl 0422.93019
Sussmann, Hector J.
1979
Further comments on the stabilizability of the angular velocity of a rigid body. Zbl 0675.93064
Sontag, Eduardo D.; Sussmann, Héctor J.
1989
Regular synthesis and sufficiency conditions for optimality. Zbl 0961.93014
Piccoli, Benedetto; Sussmann, Héctor J.
2000
A sufficient condition for local controllability. Zbl 0391.93004
Sussmann, Hector J.
1978
An interpretation of stochastic differential equations as ordinary differential equations which depend on the sample point. Zbl 0367.60060
Sussmann, Hector J.
1977
A nonsmooth hybrid maximum principle. Zbl 0967.49016
Sussmann, Héctor J.
1999
A bang-bang theorem with bounds on the number of switchings. Zbl 0427.49008
Sussmann, Hector J.
1979
Global stabilization of linear discrete-time systems with bounded feedback. Zbl 0901.93053
Yang, Yudi; Sontag, Eduardo D.; Sussmann, Hector J.
1997
Commutators of flow maps of nonsmooth vector fields. Zbl 1137.37010
Rampazzo, Franco; Sussmann, Héctor J.
2007
A generalization of the closed subgroup theorem to quotients of arbitrary manifolds. Zbl 0342.58004
Sussmann, Hector J.
1975
The structure of time-optimal trajectories for single-input systems in the plane: The general real analytic case. Zbl 0664.93034
Sussmann, H. J.
1987
An introduction to the coordinate-free maximum principle. Zbl 0925.93135
Sussmann, Hector J.
1998
Real-analytic desingularization and subanalytic sets: An elementary approach. Zbl 0696.32005
Sussmann, H. J.
1990
Noncommutative power series and formal Lie-algebraic techniques in nonlinear control theory. Zbl 0919.93035
Kawski, Matthias; Sussmann, Héctor J.
1997
Orbits of families of vector fields and integrability of systems with singularities. Zbl 0255.58001
Sussmann, Hector J.
1973
Global controllability by nice controls. Zbl 0703.93014
Grasse, Kevin A.; Sussmann, H. J.
1990
A cornucopia of four-dimensional abnormal sub-Riemannian minimizers. Zbl 0862.53033
Sussmann, Héctor J.
1996
An extension of a theorem of Nagano on transitive Lie algebras. Zbl 0301.58003
Sussmann, Hector J.
1974
On controllability by means of two vector fields. Zbl 0313.93006
Levitt, Norman; Sussmann, Hector J.
1975
A differential geometric approach to motion planning. Zbl 0788.70017
Lafferriere, Gerardo; Sussmann, Héctor J.
1992
The ”bang-bang” problem for certain control systems in GL(n,R). Zbl 0242.49041
Sussmann, Hector J.
1972
Geometry and optimal control. Zbl 1067.49500
Sussmann, H. J.
1998
A product expansion for the Chen series. Zbl 0619.93021
Sussmann, H. J.
1986
Minimal realizations and canonical forms for bilinear systems. Zbl 0335.93021
Sussmann, Hector J.
1976
Regular synthesis for time-optimal control of single-input real analytic systems in the plane. Zbl 0696.93026
Sussmann, H. J.
1987
Regular synthesis for time-optimal control of single-input real analytic systems in the plane. Zbl 0701.93035
Sussmann, H. J.
1987
Bounds on the number of switchings for trajectories of piecewise analytic vector fields. Zbl 0488.34033
Sussmann, Hector J.
1982
Nonexistence of finite-dimensional filters for conditional statistics of the cubic sensor problem. Zbl 0539.93077
Hazewinkel, M.; Marcus, S. I.; Sussmann, H. J.
1983
Limitations on the stabilizability of globally minimum phase systems. Zbl 0708.93070
Sussmann, H. J.
1990
Backpropagation can give rise to spurious local minima even for networks without hidden layers. Zbl 0732.68091
Sontag, Eduardo D.; Sussmann, Héctor J.
1989
Line-integral estimates and motion planning using the continuation method. Zbl 0946.70003
Chitour, Yacine; Sussmann, Héctor J.
1998
Symmetries and integrals of motion in optimal control. Zbl 0891.49011
Sussmann, Hector J.
1995
New differential geometric methods in nonholonomic path finding. Zbl 0777.93014
Sussmann, Héctor J.
1992
Continuous dependence with respect to the input of trajectories of control-affine systems. Zbl 0919.34003
Liu, Wensheng; Sussmann, Héctor J.
1999
Catastrophe theory as applied to the social and biological sciences: A critique. Zbl 0389.92002
Sussmann, Hector J.; Zahler, Raphael S.
1978
A weak regularity theorem for real analytic optimal control problems. Zbl 0638.49018
Sussmann, H. J.
1986
Optimal control theory and piecewise analyticity of the distance function for some real-analytic sub-Riemannian metrics. Zbl 0772.49019
Sussmann, H. J.
1992
Some examples of reachable sets and optimal cost functions that fail to be subanalytic. Zbl 0569.49029
Lojasiewicz, Stanisław jun.; Sussmann, H. J.
1985
Small-time local controllability and continuity of the optimal time function for linear systems. Zbl 0596.93012
Sussmann, H. J.
1987
Abnormal sub-Riemannian minimizers. Zbl 0823.49026
Liu, Wensheng; Sussmann, Héctor J.
1994
Semigroup representations, bilinear approximation of input-output maps, and generalized inputs. Zbl 0353.93025
Sussmann, Hector J.
1976
New theories of set-valued differentials and new versions of the maximum principle of optimal control theory. Zbl 0998.93022
Sussmann, Héctor J.
2001
Envelopes, conjugate points, and optimal bang-bang extremals. Zbl 0619.49017
Sussmann, H. J.
1986
Construction of ergodic cocycles that are fundamental solutions to linear systems of a special form. Zbl 1135.37006
Nerurkar, Mahesh G.; Sussmann, Héctor J.
2007
Control systems on Lie groups. Zbl 0227.93011
Jurdjevic, Velimir; Sussmann, Héctor
1972
Synthesis, presynthesis, sufficient conditions for optimality and subanalytic sets. Zbl 0712.49015
Sussmann, H. J.
1990
Construction of minimal cocycles arising from specific differential equations. Zbl 0894.93004
Nerurkar, Mahesh G.; Sussmann, Héctor J.
1997
300 years of optimal control: From the brachystochrone to the maximum principle. Zbl 1014.49001
Sussmann, Hector J.; Willems, Jan C.
2001
A Lie-Volterra expansion for nonlinear systems. Zbl 0538.93032
Sussmann, H. J.
1984
Tangent bundles of homogeneous spaces are lomogeneous spaces. Zbl 0256.53039
Brockett, R. W.; Sussmann, H. J.
1972
On quotients of manifolds: A generalization of the closed subgroup theorem. Zbl 0301.58002
Sussmann, Hector J.
1974
Product expansions of exponential Lie series and the discretization of stochastic differential equations. Zbl 0651.60065
Sussmann, H. J.
1988
Complete controllability of continuous-time recurrent neural networks. Zbl 0901.93005
Sontag, Eduardo; Sussmann, Héctor J.
1997
Some recent results on the maximum principle of optimal control theory. Zbl 0883.49020
Sussmann, Hector J.
1997
A strong version of the Lojasiewicz maximum principle. Zbl 0816.49018
Sussmann, H. J.
1994
Nonexistence of finite dimensional filters for conditional statistics of the cubic sensor problem. Zbl 0538.93061
Hazewinkel, M.; Marcus, S. I.; Sussmann, H. J.
1984
Smooth distributions are globally finitely spanned. Zbl 1206.58002
Sussmann, Hector J.
2008
Generic single-input observability of continuous-time polynomial systems. Zbl 0428.93030
Sussmann, Hector J.
1979
General classes of control-Lyapunov functions. Zbl 0854.93131
Sontag, Eduardo D.; Sussmann, Héctor J.
1996
Time-optimal control in the plane. Zbl 0516.93025
Sussmann, H. J.
1982
The control problem $$\dot x$$ = (A(1 - $$u$$) + B$$u$$)$$x$$: A comment on an article by J. Kucera. Zbl 0251.49014
Sussmann, Hector J.
1972
Minimal realizations of nonlinear systems. Zbl 0291.93007
Sussmann, Hector J.
1973
Catastrophe theory. Zbl 0309.58008
Sussmann, Hector J.
1975
Approximate finite-dimensional filters for some nonlinear problems. Zbl 0494.93048
Sussmann, Hector J.
1982
On the regularity of optimal controls. Zbl 0636.49009
Schättler, Heinz M.; Sussmann, Héctor J.
1987
Recent developments in the regularity theory of optimal trajectories. Zbl 0649.49003
Sussmann, H. J.
1987
Limits of the Wong-Zakai type with a modified drift term. Zbl 0733.60082
Sussmann, Héctor J.
1991
Multidifferential calculus: Chain rule, open mapping and transversal intersection theorems. Zbl 0981.49013
Sussmann, Héctor J.
1998
Needle variations and almost lower semicontinuous differential inclusions. Zbl 1013.49021
Sussmann, Héctor J.
2002
The brachistochrone problem and modern control theory. Zbl 1047.93001
Sussmann, Héctor J.; Willems, Jan C.
2002
Lie bracket extensions and averaging: The single-bracket case. Zbl 0786.70009
Sussmann, Héctor J.; Liu, Wensheng
1992
High-order open mapping theorems. Zbl 1161.58301
Sussmann, Héctor J.
2003
The control problem $$\dot x$$ = A($$u$$)$$x$$. Zbl 0251.49015
Sussmann, Hector J.
1972
On the number of directions needed to achieve controllability. Zbl 0268.93006
Sussmann, Héctor J.
1974
Nonlinear controllability and optimal control. Based on lectures of a workshop on finite dimensional controllability and optimal control held at Rutgers University, New Brunswick, NJ (USA) on May 18 to 22, 1987. Zbl 0699.00040
1990
Set separation, approximating multicones, and the Lipschitz maximum principle. Zbl 1354.49046
Sussmann, H. J.
2007
Some optimal control applications of real-analytic stratifications and desingularization. Zbl 1050.49500
Sussmann, Héctor J.
1998
The generalized pursuit problem where the pursuer uses band-bang controls. Zbl 0374.90094
Levitt, N.; Sussmann, H.
1977
Some recent results on pathwise nonlinear filtering. Zbl 0538.93063
Sussmann, H. J.
1984
Lie brackets and real analyticity in control theory. Zbl 0583.93009
Sussmann, Héctor J.
1985
A Pontryagin maximum principle for systems of flows. Zbl 1201.49024
Sussmann, Héctor J.
2008
Analytic stratifications and control theory. Zbl 0499.93023
Sussmann, Hector J.
1980
Recent results on optimal curves. (Résultats récents sur les courbes optimales.) Zbl 1020.49020
Sussmann, Héctor J.
2000
Generalized spectral theory and second order ordinary differential operators. Zbl 0222.47013
Sussmann, Hector J.
1973
Smooth distributions are globally finitely spanned. Zbl 1206.58002
Sussmann, Hector J.
2008
A Pontryagin maximum principle for systems of flows. Zbl 1201.49024
Sussmann, Héctor J.
2008
Generalized differentials, variational generators, and the maximum principle with state constraints. Zbl 1156.49003
Sussmann, H. J.
2008
Commutators of flow maps of nonsmooth vector fields. Zbl 1137.37010
Rampazzo, Franco; Sussmann, Héctor J.
2007
Construction of ergodic cocycles that are fundamental solutions to linear systems of a special form. Zbl 1135.37006
Nerurkar, Mahesh G.; Sussmann, Héctor J.
2007
Set separation, approximating multicones, and the Lipschitz maximum principle. Zbl 1354.49046
Sussmann, H. J.
2007
High-order open mapping theorems. Zbl 1161.58301
Sussmann, Héctor J.
2003
Needle variations and almost lower semicontinuous differential inclusions. Zbl 1013.49021
Sussmann, Héctor J.
2002
The brachistochrone problem and modern control theory. Zbl 1047.93001
Sussmann, Héctor J.; Willems, Jan C.
2002
New theories of set-valued differentials and new versions of the maximum principle of optimal control theory. Zbl 0998.93022
Sussmann, Héctor J.
2001
300 years of optimal control: From the brachystochrone to the maximum principle. Zbl 1014.49001
Sussmann, Hector J.; Willems, Jan C.
2001
Regular synthesis and sufficiency conditions for optimality. Zbl 0961.93014
Piccoli, Benedetto; Sussmann, Héctor J.
2000
Recent results on optimal curves. (Résultats récents sur les courbes optimales.) Zbl 1020.49020
Sussmann, Héctor J.
2000
A nonsmooth hybrid maximum principle. Zbl 0967.49016
Sussmann, Héctor J.
1999
Continuous dependence with respect to the input of trajectories of control-affine systems. Zbl 0919.34003
Liu, Wensheng; Sussmann, Héctor J.
1999
An introduction to the coordinate-free maximum principle. Zbl 0925.93135
Sussmann, Hector J.
1998
Geometry and optimal control. Zbl 1067.49500
Sussmann, H. J.
1998
Line-integral estimates and motion planning using the continuation method. Zbl 0946.70003
Chitour, Yacine; Sussmann, Héctor J.
1998
Multidifferential calculus: Chain rule, open mapping and transversal intersection theorems. Zbl 0981.49013
Sussmann, Héctor J.
1998
Some optimal control applications of real-analytic stratifications and desingularization. Zbl 1050.49500
Sussmann, Héctor J.
1998
Global stabilization of linear discrete-time systems with bounded feedback. Zbl 0901.93053
Yang, Yudi; Sontag, Eduardo D.; Sussmann, Hector J.
1997
Noncommutative power series and formal Lie-algebraic techniques in nonlinear control theory. Zbl 0919.93035
Kawski, Matthias; Sussmann, Héctor J.
1997
Construction of minimal cocycles arising from specific differential equations. Zbl 0894.93004
Nerurkar, Mahesh G.; Sussmann, Héctor J.
1997
Complete controllability of continuous-time recurrent neural networks. Zbl 0901.93005
Sontag, Eduardo; Sussmann, Héctor J.
1997
Some recent results on the maximum principle of optimal control theory. Zbl 0883.49020
Sussmann, Hector J.
1997
A cornucopia of four-dimensional abnormal sub-Riemannian minimizers. Zbl 0862.53033
Sussmann, Héctor J.
1996
General classes of control-Lyapunov functions. Zbl 0854.93131
Sontag, Eduardo D.; Sussmann, Héctor J.
1996
Shortest paths for sub-Riemannian metrics on rank-two distributions. Zbl 0843.53038
Liu, Wensheng; Sussman, Héctor J.
1995
Symmetries and integrals of motion in optimal control. Zbl 0891.49011
Sussmann, Hector J.
1995
A general result on the stabilization of linear systems using bounded controls. Zbl 0811.93046
Sussmann, Héctor J.; Sontag, Eduardo D.; Yang, Yudi
1994
Abnormal sub-Riemannian minimizers. Zbl 0823.49026
Liu, Wensheng; Sussmann, Héctor J.
1994
A strong version of the Lojasiewicz maximum principle. Zbl 0816.49018
Sussmann, H. J.
1994
A differential geometric approach to motion planning. Zbl 0788.70017
Lafferriere, Gerardo; Sussmann, Héctor J.
1992
New differential geometric methods in nonholonomic path finding. Zbl 0777.93014
Sussmann, Héctor J.
1992
Optimal control theory and piecewise analyticity of the distance function for some real-analytic sub-Riemannian metrics. Zbl 0772.49019
Sussmann, H. J.
1992
Lie bracket extensions and averaging: The single-bracket case. Zbl 0786.70009
Sussmann, Héctor J.; Liu, Wensheng
1992
The peaking phenomenon and the global stabilization of nonlinear systems. Zbl 0749.93070
Sussmann, H. J.; Kokotovic, P. V.
1991
Limits of the Wong-Zakai type with a modified drift term. Zbl 0733.60082
Sussmann, Héctor J.
1991
The leading term of a control variation. Zbl 0796.49040
Sussmann, H. J.
1991
Global stabilization of partially linear composite systems. Zbl 0719.93071
Saberi, A.; Kokotovic, P. V.; Sussmann, H. J.
1990
Real-analytic desingularization and subanalytic sets: An elementary approach. Zbl 0696.32005
Sussmann, H. J.
1990
Global controllability by nice controls. Zbl 0703.93014
Grasse, Kevin A.; Sussmann, H. J.
1990
Limitations on the stabilizability of globally minimum phase systems. Zbl 0708.93070
Sussmann, H. J.
1990
Synthesis, presynthesis, sufficient conditions for optimality and subanalytic sets. Zbl 0712.49015
Sussmann, H. J.
1990
Nonlinear controllability and optimal control. Based on lectures of a workshop on finite dimensional controllability and optimal control held at Rutgers University, New Brunswick, NJ (USA) on May 18 to 22, 1987. Zbl 0699.00040
1990
A positive real condition for global stabilization of nonlinear systems. Zbl 0684.93066
Kokotovic, P. V.; Sussmann, H. J.
1989
Further comments on the stabilizability of the angular velocity of a rigid body. Zbl 0675.93064
Sontag, Eduardo D.; Sussmann, Héctor J.
1989
Backpropagation can give rise to spurious local minima even for networks without hidden layers. Zbl 0732.68091
Sontag, Eduardo D.; Sussmann, Héctor J.
1989
Product expansions of exponential Lie series and the discretization of stochastic differential equations. Zbl 0651.60065
Sussmann, H. J.
1988
A general theorem on local controllability. Zbl 0629.93012
Sussmann, H. J.
1987
The structure of time-optimal trajectories for single-input systems in the plane: The general real analytic case. Zbl 0664.93034
Sussmann, H. J.
1987
Regular synthesis for time-optimal control of single-input real analytic systems in the plane. Zbl 0696.93026
Sussmann, H. J.
1987
Regular synthesis for time-optimal control of single-input real analytic systems in the plane. Zbl 0701.93035
Sussmann, H. J.
1987
Small-time local controllability and continuity of the optimal time function for linear systems. Zbl 0596.93012
Sussmann, H. J.
1987
On the regularity of optimal controls. Zbl 0636.49009
Schättler, Heinz M.; Sussmann, Héctor J.
1987
Recent developments in the regularity theory of optimal trajectories. Zbl 0649.49003
Sussmann, H. J.
1987
A product expansion for the Chen series. Zbl 0619.93021
Sussmann, H. J.
1986
A weak regularity theorem for real analytic optimal control problems. Zbl 0638.49018
Sussmann, H. J.
1986
Envelopes, conjugate points, and optimal bang-bang extremals. Zbl 0619.49017
Sussmann, H. J.
1986
Some examples of reachable sets and optimal cost functions that fail to be subanalytic. Zbl 0569.49029
Lojasiewicz, Stanisław jun.; Sussmann, H. J.
1985
Lie brackets and real analyticity in control theory. Zbl 0583.93009
Sussmann, Héctor J.
1985
A Lie-Volterra expansion for nonlinear systems. Zbl 0538.93032
Sussmann, H. J.
1984
Nonexistence of finite dimensional filters for conditional statistics of the cubic sensor problem. Zbl 0538.93061
Hazewinkel, M.; Marcus, S. I.; Sussmann, H. J.
1984
Some recent results on pathwise nonlinear filtering. Zbl 0538.93063
Sussmann, H. J.
1984
Lie brackets and local controllability: A sufficient condition for scalar-input systems. Zbl 0523.49026
Sussmann, Hector J.
1983
Lie brackets, real analyticity and geometric control. Zbl 0545.93002
Sussmann, H. J.
1983
Nonexistence of finite-dimensional filters for conditional statistics of the cubic sensor problem. Zbl 0539.93077
Hazewinkel, M.; Marcus, S. I.; Sussmann, H. J.
1983
Differential geometric control theory. Proceedings of the Conference held at Michigan Technological University, June 28 - July 2, 1982. Zbl 0503.00014
1983
Bounds on the number of switchings for trajectories of piecewise analytic vector fields. Zbl 0488.34033
Sussmann, Hector J.
1982
Time-optimal control in the plane. Zbl 0516.93025
Sussmann, H. J.
1982
Approximate finite-dimensional filters for some nonlinear problems. Zbl 0494.93048
Sussmann, Hector J.
1982
Remarks on the pole-shifting problem over rings. Zbl 0455.15009
Bumby, R.; Sontag, E. D.; Sussmann, H. J.; Vasconcelos, W.
1981
Analytic stratifications and control theory. Zbl 0499.93023
Sussmann, Hector J.
1980
Les semi-groupes sous-analytiques et la régularité des commandes en boucle fermée. Zbl 0459.93036
Sussmann, Hector J.
1980
Subanalytic sets and feedback control. Zbl 0407.93010
Sussmann, Hector J.
1979
Single-input observability of continuous-time systems. Zbl 0422.93019
Sussmann, Hector J.
1979
A bang-bang theorem with bounds on the number of switchings. Zbl 0427.49008
Sussmann, Hector J.
1979
Generic single-input observability of continuous-time polynomial systems. Zbl 0428.93030
Sussmann, Hector J.
1979
On the gap between deterministic and stochastic ordinary differential equations. Zbl 0391.60056
Sussmann, Hector J.
1978
A sufficient condition for local controllability. Zbl 0391.93004
Sussmann, Hector J.
1978
Catastrophe theory as applied to the social and biological sciences: A critique. Zbl 0389.92002
Sussmann, Hector J.; Zahler, Raphael S.
1978
On some self-immunization mechanisms of applied mathematics: The case of catastrophe theory. Zbl 0411.00017
Sussmann, H. J.
1978
Existence and uniqueness of minimal realizations of nonlinear systems. Zbl 0354.93017
Sussman, Hector J.
1977
An interpretation of stochastic differential equations as ordinary differential equations which depend on the sample point. Zbl 0367.60060
Sussmann, Hector J.
1977
The generalized pursuit problem where the pursuer uses band-bang controls. Zbl 0374.90094
Levitt, N.; Sussmann, H.
1977
Some properties of vector field systems that are not altered by small perturbations. Zbl 0346.49036
Sussmann, Hector J.
1976
Minimal realizations and canonical forms for bilinear systems. Zbl 0335.93021
Sussmann, Hector J.
1976
Semigroup representations, bilinear approximation of input-output maps, and generalized inputs. Zbl 0353.93025
Sussmann, Hector J.
1976
A generalization of the closed subgroup theorem to quotients of arbitrary manifolds. Zbl 0342.58004
Sussmann, Hector J.
1975
On controllability by means of two vector fields. Zbl 0313.93006
Levitt, Norman; Sussmann, Hector J.
1975
Catastrophe theory. Zbl 0309.58008
Sussmann, Hector J.
1975
An extension of a theorem of Nagano on transitive Lie algebras. Zbl 0301.58003
Sussmann, Hector J.
1974
On quotients of manifolds: A generalization of the closed subgroup theorem. Zbl 0301.58002
Sussmann, Hector J.
1974
On the number of directions needed to achieve controllability. Zbl 0268.93006
Sussmann, Héctor J.
1974
Orbits of families of vector fields and integrability of distributions. Zbl 0274.58002
Sussmann, Hector J.
1973
Orbits of families of vector fields and integrability of systems with singularities. Zbl 0255.58001
Sussmann, Hector J.
1973
Minimal realizations of nonlinear systems. Zbl 0291.93007
Sussmann, Hector J.
1973
Generalized spectral theory and second order ordinary differential operators. Zbl 0222.47013
Sussmann, Hector J.
1973
Controllability of nonlinear systems. Zbl 0242.49040
Sussmann, Hector J.; Jurdjevic, Velimir
1972
Control systems on Lie groups. Zbl 0237.93027
Jurdjevic, Velimir; Sussmann, Hector J.
1972
...and 5 more Documents
all top 5

### Cited by 1,924 Authors

 28 Lin, Zongli 21 Zhou, Bin 20 Agrachev, Andreĭ Aleksandrovich 20 Sussmann, Hector J. 19 Saberi, Ali 19 Sontag, Eduardo D. 16 Sigalotti, Mario 15 Chitour, Yacine 14 Duan, Guangren 13 Bonnard, Bernard 13 Brewer, James W. 13 Gauthier, Jean-Paul A. 13 Rampazzo, Franco 13 Tsinias, John 12 Stoorvogel, Anton A. 12 Tchoń, Krzysztof 11 Ayala, Victor 11 Schättler, Heinz Michael 11 Schmale, Wiland 10 Bacciotti, Andrea 10 Crouch, Peter E. 10 D’Alessandro, Domenico 10 Florchinger, Patrick 10 Hermes, Henry 10 Kokotovic, Petar V. 10 Piccoli, Benedetto 10 Vivalda, Jean-Claude 9 Boscain, Ugo 9 Coron, Jean-Michel 9 Fliess, Michel 9 Gonçalves, J. Basto 9 Grasse, Kevin A. 9 Tarbouriech, Sophie 9 Vakhrameev, S. A. 8 Biggs, Rory 8 Boarotto, Francesco 8 Isidori, Alberto 8 Klingler, Lee C. 8 Loria, Antonio 8 Pelletier, Fernand 8 Sallet, Gauthier 8 Stefani, Gianna 8 Trélat, Emmanuel 7 Albertini, Francesca 7 Astolfi, Alessandro 7 Barbero-Liñán, María 7 Byrnes, Christopher Ian 7 Chaillet, Antoine 7 Chatterjee, Debasish 7 Hammouri, Hassan 7 Helmke, Uwe R. 7 Jiang, Zhong-Ping 7 Lu, Kening 7 Margaliot, Michael 7 Mazenc, Frédéric 7 Montanari, Annamaria 7 Morbidelli, Daniele 7 Muñoz-Lecanda, Miguel C. 7 Remsing, Claudiu-Cristian 7 Sannuti, Peddapullaiah 7 Silva Leite, Fátima 7 Teel, Andrew Richard 7 van der Schaft, Arjan J. 7 Wang, Bixiang 7 Wang, Xu 6 Ancona, Fabio 6 Androulidakis, Iakovos 6 Berhanu, Shiferaw 6 Bressan, Alberto 6 Brzeźniak, Zdzisław 6 da Silva, João Manoel Gomes jun. 6 de León Rodríguez, Manuel 6 Hilgert, Joachim 6 Ignatovich, Svetlana Yu. 6 Jouan, Philippe 6 Krastanov, Mikhail Ivanov 6 Kupka, Ivan A. K. 6 Markina, Irina 6 Motta, Monica 6 Nijmeijer, Henk 6 Rouchon, Pierre 6 San Martin, Luiz Antonio Barrera 5 Banavar, Ravi N. 5 Berestovskiĭ, Valeriĭ Nikolaevich 5 Caponigro, Marco 5 Colonius, Fritz 5 Ding, Shihong 5 Friz, Peter Karl 5 Gamkrelidze, Revaz Valerianovich 5 Godfrey, Keith R. 5 Gray, W. Steven 5 Grochowski, Marek 5 Hofmann, Karl Heinrich 5 Hounie, Jorge G. 5 Jakubczyk, Bronisław 5 Jurdjevic, Velimir 5 Kliemann, Wolfgang H. 5 Langerock, Bavo 5 Ledzewicz, Urszula 5 Lévine, Jean ...and 1,824 more Authors
all top 5

### Cited in 289 Serials

 192 Systems & Control Letters 162 Automatica 83 International Journal of Control 48 Journal of Differential Equations 47 Journal of Dynamical and Control Systems 42 MCSS. Mathematics of Control, Signals, and Systems 42 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 37 European Journal of Control 32 International Journal of Robust and Nonlinear Control 31 Journal of Optimization Theory and Applications 30 Journal of Mathematical Sciences (New York) 26 SIAM Journal on Control and Optimization 23 Transactions of the American Mathematical Society 22 Journal of Mathematical Analysis and Applications 22 Mathematical Systems Theory 20 Journal of Mathematical Physics 19 Journal of Geometry and Physics 17 Journal of the Franklin Institute 14 Stochastics 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Differential Geometry and its Applications 13 Linear Algebra and its Applications 12 Stochastic Analysis and Applications 12 Acta Applicandae Mathematicae 12 The Journal of Geometric Analysis 12 Nonlinear Analysis. Theory, Methods & Applications 10 Reports on Mathematical Physics 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Stochastic Processes and their Applications 9 International Journal of Systems Science 9 Annales de l’Institut Fourier 9 Journal of Functional Analysis 9 Journal of Pure and Applied Algebra 8 Kybernetika 8 Proceedings of the American Mathematical Society 8 Probability Theory and Related Fields 8 Automation and Remote Control 8 Discrete and Continuous Dynamical Systems 8 Asian Journal of Control 7 Computers & Mathematics with Applications 7 Chaos, Solitons and Fractals 7 Applied Mathematics and Computation 7 Mathematische Zeitschrift 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Mathematical Problems in Engineering 7 Differential Equations 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Journal of Geometric Mechanics 7 International Journal of Systems Science. Principles and Applications of Systems and Integration 6 Communications in Mathematical Physics 6 Duke Mathematical Journal 6 Journal of Soviet Mathematics 6 Mathematics and Computers in Simulation 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Optimal Control Applications & Methods 6 Applied Mathematics Letters 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Bulletin des Sciences Mathématiques 6 Nonlinear Dynamics 6 Journal of Systems Science and Complexity 6 Nonlinear Analysis. Hybrid Systems 6 Mathematical Control and Related Fields 5 Communications in Algebra 5 Mathematical Biosciences 5 Rocky Mountain Journal of Mathematics 5 Advances in Mathematics 5 Inventiones Mathematicae 5 Mathematische Annalen 5 Siberian Mathematical Journal 5 Indagationes Mathematicae. New Series 5 NoDEA. Nonlinear Differential Equations and Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 International Journal of Geometric Methods in Modern Physics 5 Proceedings of the Steklov Institute of Mathematics 4 Arkiv för Matematik 4 Bulletin of Mathematical Biology 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Applied Mathematics and Optimization 4 Bulletin de la Société Mathématique de France 4 Compositio Mathematica 4 Journal of Algebra 4 Theoretical Computer Science 4 Topology and its Applications 4 Annals of Global Analysis and Geometry 4 Physica D 4 The Annals of Applied Probability 4 Geometric and Functional Analysis. GAFA 4 Mathematical Programming. Series A. Series B 4 Journal of Dynamics and Differential Equations 4 Journal of Computer and Systems Sciences International 4 Calculus of Variations and Partial Differential Equations 4 International Journal of Applied Mathematics and Computer Science 4 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of General Systems 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Journal of Statistical Physics 3 Mathematical Notes 3 Ukrainian Mathematical Journal 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik ...and 189 more Serials
all top 5

### Cited in 57 Fields

 1,100 Systems theory; control (93-XX) 267 Calculus of variations and optimal control; optimization (49-XX) 191 Differential geometry (53-XX) 161 Probability theory and stochastic processes (60-XX) 143 Ordinary differential equations (34-XX) 137 Dynamical systems and ergodic theory (37-XX) 130 Mechanics of particles and systems (70-XX) 122 Global analysis, analysis on manifolds (58-XX) 121 Partial differential equations (35-XX) 74 Manifolds and cell complexes (57-XX) 72 Topological groups, Lie groups (22-XX) 60 Quantum theory (81-XX) 53 Several complex variables and analytic spaces (32-XX) 40 Nonassociative rings and algebras (17-XX) 39 Biology and other natural sciences (92-XX) 38 Computer science (68-XX) 35 Numerical analysis (65-XX) 29 Operator theory (47-XX) 29 Operations research, mathematical programming (90-XX) 28 Commutative algebra (13-XX) 25 Functional analysis (46-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Real functions (26-XX) 15 Statistics (62-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Algebraic geometry (14-XX) 13 Fluid mechanics (76-XX) 10 General topology (54-XX) 9 Associative rings and algebras (16-XX) 9 Algebraic topology (55-XX) 8 Integral equations (45-XX) 7 Optics, electromagnetic theory (78-XX) 6 Mathematical logic and foundations (03-XX) 6 Group theory and generalizations (20-XX) 6 Measure and integration (28-XX) 6 Functions of a complex variable (30-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Relativity and gravitational theory (83-XX) 6 Information and communication theory, circuits (94-XX) 5 History and biography (01-XX) 5 Difference and functional equations (39-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Special functions (33-XX) 4 Geometry (51-XX) 4 Mechanics of deformable solids (74-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 Abstract harmonic analysis (43-XX) 2 Geophysics (86-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX)