# zbMATH — the first resource for mathematics

## Sussmann, Hector J.

Compute Distance To:
 Author ID: sussmann.hector-j Published as: Sussman, H. J.; Sussman, Hector J.; Sussman, Héctor J.; Sussmann, H.; Sussmann, H. J.; Sussmann, Hector J.; Sussmann, Héctor; Sussmann, Héctor J.
 Documents Indexed: 122 Publications since 1970, including 7 Books
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

107 Publications have been cited 2,323 times in 1,702 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.; Judjevic, 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
Subanalytic sets and feedback control. Zbl 0407.93010
Sussmann, Hector J.
1979
A positive real condition for global stabilization of nonlinear systems. Zbl 0684.93066
Kokotovic, P. V.; Sussmann, H. J.
1989
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
Lie brackets, real analyticity and geometric control. Zbl 0545.93002
Sussmann, H. J.
1983
Some properties of vector field systems that are not altered by small perturbations. Zbl 0346.49036
Sussmann, Hector J.
1976
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
A sufficient condition for local controllability. Zbl 0391.93004
Sussmann, Hector J.
1978
Regular synthesis and sufficiency conditions for optimality. Zbl 0961.93014
Piccoli, Benedetto; Sussmann, Héctor J.
2000
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 interpretation of stochastic differential equations as ordinary differential equations which depend on the sample point. Zbl 0367.60060
Sussmann, Hector J.
1977
A bang-bang theorem with bounds on the number of switchings. Zbl 0427.49008
Sussmann, Hector J.
1979
A generalization of the closed subgroup theorem to quotients of arbitrary manifolds. Zbl 0342.58004
Sussmann, Hector J.
1975
A nonsmooth hybrid maximum principle. Zbl 0967.49016
Sussmann, Héctor J.
1999
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
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
Orbits of families of vector fields and integrability of systems with singularities. Zbl 0255.58001
Sussmann, Hector J.
1973
Regular synthesis for time-optimal control of single-input real analytic systems in the plane. Zbl 0701.93035
Sussmann, H. J.
1987
On controllability by means of two vector fields. Zbl 0313.93006
Levitt, Norman; Sussmann, Hector J.
1975
The ”bang-bang” problem for certain control systems in GL(n,R). Zbl 0242.49041
Sussmann, Hector J.
1972
Noncommutative power series and formal Lie-algebraic techniques in nonlinear control theory. Zbl 0919.93035
Kawski, Matthias; Sussmann, Héctor J.
1997
A differential geometric approach to motion planning. Zbl 0788.70017
Lafferriere, Gerardo; Sussmann, Héctor J.
1992
Global controllability by nice controls. Zbl 0703.93014
Grasse, Kevin A.; Sussmann, H. J.
1990
An extension of a theorem of Nagano on transitive Lie algebras. Zbl 0301.58003
Sussmann, Hector J.
1974
Geometry and optimal control. Zbl 1067.49500
Sussmann, H. J.
1998
A cornucopia of four-dimensional abnormal sub-Riemannian minimizers. Zbl 0862.53033
Sussmann, Héctor J.
1996
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
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
Bounds on the number of switchings for trajectories of piecewise analytic vector fields. Zbl 0488.34033
Sussmann, Hector J.
1982
Symmetries and integrals of motion in optimal control. Zbl 0891.49011
Sussmann, Hector J.
1995
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
Catastrophe theory as applied to the social and biological sciences: A critique. Zbl 0389.92002
Sussmann, Hector J.; Zahler, Raphael S.
1978
300 years of optimal control: From the brachystochrone to the maximum principle. Zbl 1014.49001
Sussmann, Hector J.; Willems, Jan C.
2001
Line-integral estimates and motion planning using the continuation method. Zbl 0946.70003
Chitour, Yacine; Sussmann, Héctor J.
1998
Continuous dependence with respect to the input of trajectories of control-affine systems. Zbl 0919.34003
Liu, Wensheng; Sussmann, Héctor J.
1999
New differential geometric methods in nonholonomic path finding. Zbl 0777.93014
Sussmann, Héctor 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
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
Abnormal sub-Riemannian minimizers. Zbl 0823.49026
Liu, Wensheng; Sussmann, Héctor J.
1994
Optimal control theory and piecewise analyticity of the distance function for some real-analytic sub-Riemannian metrics. Zbl 0772.49019
Sussmann, H. J.
1992
Small-time local controllability and continuity of the optimal time function for linear systems. Zbl 0596.93012
Sussmann, H. J.
1987
A weak regularity theorem for real analytic optimal control problems. Zbl 0638.49018
Sussmann, H. J.
1986
On quotients of manifolds: A generalization of the closed subgroup theorem. Zbl 0301.58002
Sussmann, Hector J.
1974
Limits of the Wong-Zakai type with a modified drift term. Zbl 0733.60082
Sussmann, Héctor J.
1991
Envelopes, conjugate points, and optimal bang-bang extremals. Zbl 0619.49017
Sussmann, H. J.
1986
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
Control systems on Lie groups. Zbl 0227.93011
Jurdjevic, Velimir; Sussmann, Héctor
1972
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
Construction of minimal cocycles arising from specific differential equations. Zbl 0894.93004
Nerurkar, Mahesh G.; 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
Synthesis, presynthesis, sufficient conditions for optimality and subanalytic sets. Zbl 0712.49015
Sussmann, H. J.
1990
Product expansions of exponential Lie series and the discretization of stochastic differential equations. Zbl 0651.60065
Sussmann, H. J.
1988
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
Minimal realizations of nonlinear systems. Zbl 0291.93007
Sussmann, Hector J.
1973
Smooth distributions are globally finitely spanned. Zbl 1206.58002
Sussmann, Hector J.
2008
Complete controllability of continuous-time recurrent neural networks. Zbl 0901.93005
Sontag, Eduardo; Sussmann, Héctor J.
1997
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
Analytic stratifications and control theory. Zbl 0499.93023
Sussmann, Hector J.
1980
Generic single-input observability of continuous-time polynomial systems. Zbl 0428.93030
Sussmann, Hector J.
1979
Catastrophe theory. Zbl 0309.58008
Sussmann, Hector J.
1975
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
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
Multidifferential calculus: Chain rule, open mapping and transversal intersection theorems. Zbl 0981.49013
Sussmann, Héctor J.
1998
Lie bracket extensions and averaging: The single-bracket case. Zbl 0786.70009
Sussmann, Héctor J.; Liu, Wensheng
1992
Recent developments in the regularity theory of optimal trajectories. Zbl 0649.49003
Sussmann, H. J.
1987
On the regularity of optimal controls. Zbl 0636.49009
Schättler, Heinz M.; Sussmann, Héctor J.
1987
Differential geometric control theory. Proceedings of the Conference held at Michigan Technological University, June 28 - July 2, 1982. Zbl 0503.00014
Brockett, Roger W. (ed.); Millman, Richard S. (ed.); Sussmann, Hector J. (ed.)
1983
Approximate finite-dimensional filters for some nonlinear problems. Zbl 0494.93048
Sussmann, Hector J.
1982
On the number of directions needed to achieve controllability. Zbl 0268.93006
Sussmann, Héctor J.
1974
The control problem $$\dot x$$ = A($$u$$)$$x$$. Zbl 0251.49015
Sussmann, Hector J.
1972
Set separation, approximating multicones, and the Lipschitz maximum principle. Zbl 1354.49046
Sussmann, H. J.
2007
The brachistochrone problem and modern control theory. Zbl 1047.93001
Sussmann, Héctor J.; Willems, Jan C.
2002
Some optimal control applications of real-analytic stratifications and desingularization. Zbl 1050.49500
Sussmann, Héctor J.
1998
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
Sussmann, H. J. (ed.)
1990
Some recent results on pathwise nonlinear filtering. Zbl 0538.93063
Sussmann, H. J.
1984
The generalized pursuit problem where the pursuer uses band-bang controls. Zbl 0374.90094
Levitt, N.; Sussmann, H.
1977
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
Recent results on optimal curves. Zbl 1020.49020
Sussmann, Héctor J.
2000
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
300 years of optimal control: From the brachystochrone to the maximum principle. Zbl 1014.49001
Sussmann, Hector J.; Willems, Jan C.
2001
New theories of set-valued differentials and new versions of the maximum principle of optimal control theory. Zbl 0998.93022
Sussmann, Héctor J.
2001
Regular synthesis and sufficiency conditions for optimality. Zbl 0961.93014
Piccoli, Benedetto; Sussmann, Héctor J.
2000
Recent results on optimal curves. 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
Essays on mathematical robots. Proceedings of a workshop, Minneapolis, MN, USA, January 25-29, 1993. Zbl 0903.00092
Baillieul, John (ed.); Sastry, Shankar S. (ed.); Sussmann, Hector J. (ed.)
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
Some recent results on the maximum principle of optimal control theory. Zbl 0883.49020
Sussmann, Hector J.
1997
Complete controllability of continuous-time recurrent neural networks. Zbl 0901.93005
Sontag, Eduardo; Sussmann, Héctor 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
Sussmann, H. J. (ed.)
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 0701.93035
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
Small-time local controllability and continuity of the optimal time function for linear systems. Zbl 0596.93012
Sussmann, H. J.
1987
Recent developments in the regularity theory of optimal trajectories. Zbl 0649.49003
Sussmann, H. J.
1987
On the regularity of optimal controls. Zbl 0636.49009
Schättler, Heinz M.; Sussmann, Héctor 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
Continuous versions of the conditional statistics of nonlinear filtering. Zbl 0561.60046
Sussmann, H. 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
Brockett, Roger W. (ed.); Millman, Richard S. (ed.); Sussmann, Hector J. (ed.)
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
...and 7 more Documents
all top 5

#### Cited by 1,952 Authors

 28 Lin, Zongli 20 Saberi, Ali 20 Sussmann, Hector J. 20 Zhou, Bin 19 Agrachev, Andreĭ Aleksandrovich 19 Sontag, Eduardo D. 15 Chitour, Yacine 15 Sigalotti, Mario 13 Brewer, James W. 13 Duan, Guangren 13 Gauthier, Jean-Paul A. 13 Rampazzo, Franco 13 Tsinias, John 12 Bonnard, Bernard 12 Stoorvogel, Anton A. 11 Ayala, Victor 11 Bacciotti, Andrea 11 D’Alessandro, Domenico 11 Schättler, Heinz Michael 11 Schmale, Wiland 11 Tchoń, Krzysztof 10 Crouch, Peter E. 10 Florchinger, Patrick 10 Hermes, Henry 10 Kokotovic, Petar V. 10 Vivalda, Jean-Claude 9 Boscain, Ugo 9 Fliess, Michel 9 Gonçalves, J. Basto 9 Grasse, Kevin A. 9 Piccoli, Benedetto 9 Tarbouriech, Sophie 9 Vakhrameev, S. A. 8 Biggs, Rory 8 Coron, Jean-Michel 8 Isidori, Alberto 8 Klingler, Lee C. 8 Loria, Antonio 8 Sallet, Gauthier 8 Stefani, Gianna 8 Teel, Andrew Richard 8 Trélat, Emmanuel 7 Albertini, Francesca 7 Astolfi, Alessandro 7 Boarotto, Francesco 7 Byrnes, Christopher Ian 7 Chatterjee, Debasish 7 de León Rodríguez, Manuel 7 Hammouri, Hassan 7 Helmke, Uwe R. 7 Jiang, Zhong-Ping 7 Margaliot, Michael 7 Mazenc, Frédéric 7 Montanari, Annamaria 7 Morbidelli, Daniele 7 Muñoz-Lecanda, Miguel C. 7 Nijmeijer, Henk 7 Remsing, Claudiu-Cristian 7 Sannuti, Peddapullaiah 7 van der Schaft, Arjan J. 7 Wang, Xu 6 Ancona, Fabio 6 Androulidakis, Iakovos 6 Barbero-Liñán, María 6 Berhanu, Shiferaw 6 Bressan, Alberto 6 Brzeźniak, Zdzisław 6 Chaillet, Antoine 6 da Silva, João Manoel Gomes jun. 6 Friz, Peter Karl 6 Gray, W. Steven 6 Hilgert, Joachim 6 Ignatovich, Svetlana Yu. 6 Krastanov, Mikhail Ivanov 6 Kupka, Ivan A. K. 6 Lin, Wei 6 Lu, Kening 6 Markina, Irina 6 Motta, Monica 6 Respondek, Witold 6 Rouchon, Pierre 6 San Martin, Luiz Antonio Barrera 6 Silva Leite, Fátima 6 Wang, Bixiang 5 Banavar, Ravi N. 5 Berestovskiĭ, Valeriĭ Nikolaevich 5 Caponigro, Marco 5 Colonius, Fritz 5 Ding, Shihong 5 Gamkrelidze, Revaz Valerianovich 5 Godfrey, Keith R. 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 1,852 more Authors
all top 5

#### Cited in 281 Serials

 197 Systems & Control Letters 162 Automatica 81 International Journal of Control 48 Journal of Differential Equations 45 Journal of Dynamical and Control Systems 41 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 40 MCSS. Mathematics of Control, Signals, and Systems 37 European Journal of Control 32 International Journal of Robust and Nonlinear Control 30 Journal of Optimization Theory and Applications 30 Journal of Mathematical Sciences (New York) 24 SIAM Journal on Control and Optimization 23 Journal of Mathematical Analysis and Applications 22 Mathematical Systems Theory 22 Transactions of the American Mathematical Society 19 Journal of Mathematical Physics 19 Journal of Geometry and Physics 14 Journal of the Franklin Institute 14 Stochastics 14 Differential Geometry and its Applications 14 Linear Algebra and its Applications 14 Nonlinear Analysis. Theory, Methods & Applications 13 Reports on Mathematical Physics 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Stochastic Analysis and Applications 12 The Journal of Geometric Analysis 12 Stochastic Processes and their Applications 11 Journal of Functional Analysis 11 Acta Applicandae Mathematicae 10 Annali di Matematica Pura ed Applicata. Serie Quarta 9 International Journal of Systems Science 9 Annales de l’Institut Fourier 9 Journal of Pure and Applied Algebra 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Kybernetika 8 Proceedings of the American Mathematical Society 8 Probability Theory and Related Fields 8 Automation and Remote Control 8 Asian Journal of Control 7 Computers & Mathematics with Applications 7 Applied Mathematics and Computation 7 Mathematische Zeitschrift 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Discrete and Continuous Dynamical Systems 7 Mathematical Problems in Engineering 7 Differential Equations 6 Communications in Mathematical Physics 6 Chaos, Solitons and Fractals 6 Duke Mathematical Journal 6 Journal of Soviet Mathematics 6 Mathematics and Computers in Simulation 6 Optimal Control Applications & Methods 6 Applied Mathematics Letters 6 Bulletin des Sciences Mathématiques 6 Nonlinear Dynamics 6 Journal of Systems Science and Complexity 5 Communications in Algebra 5 Mathematical Biosciences 5 Advances in Mathematics 5 Information Sciences 5 Inventiones Mathematicae 5 Mathematische Annalen 5 Siberian Mathematical Journal 5 Indagationes Mathematicae. New Series 5 NoDEA. Nonlinear Differential Equations and Applications 5 International Journal of Geometric Methods in Modern Physics 5 Proceedings of the Steklov Institute of Mathematics 5 Mathematical Control and Related Fields 4 Rocky Mountain Journal 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 Journal of Computational and Applied Mathematics 4 Theoretical Computer Science 4 Topology and its Applications 4 Physica D 4 The Annals of Applied Probability 4 Geometric and Functional Analysis. GAFA 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Calculus of Variations and Partial Differential Equations 4 International Journal of Applied Mathematics and Computer Science 4 Discrete and Continuous Dynamical Systems. Series B 4 Nonlinear Analysis. Hybrid Systems 4 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Geometric Mechanics 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 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 3 The Annals of Probability 3 Archiv der Mathematik ...and 181 more Serials
all top 5

#### Cited in 57 Fields

 1,085 Systems theory; control (93-XX) 261 Calculus of variations and optimal control; optimization (49-XX) 186 Differential geometry (53-XX) 162 Probability theory and stochastic processes (60-XX) 140 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) 109 Partial differential equations (35-XX) 73 Manifolds and cell complexes (57-XX) 72 Topological groups, Lie groups (22-XX) 58 Quantum theory (81-XX) 51 Several complex variables and analytic spaces (32-XX) 44 Nonassociative rings and algebras (17-XX) 36 Computer science (68-XX) 36 Biology and other natural sciences (92-XX) 35 Numerical analysis (65-XX) 28 Commutative algebra (13-XX) 28 Operations research, mathematical programming (90-XX) 27 Operator theory (47-XX) 24 Functional analysis (46-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Statistics (62-XX) 15 Real functions (26-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Algebraic geometry (14-XX) 11 Fluid mechanics (76-XX) 10 General topology (54-XX) 9 Algebraic topology (55-XX) 8 Associative rings and algebras (16-XX) 8 Integral equations (45-XX) 7 Optics, electromagnetic theory (78-XX) 7 Information and communication theory, circuits (94-XX) 6 History and biography (01-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) 5 Difference and functional equations (39-XX) 4 Combinatorics (05-XX) 4 Special functions (33-XX) 4 Geometry (51-XX) 4 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 3 Abstract harmonic analysis (43-XX) 2 Field theory and polynomials (12-XX) 2 Geophysics (86-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX)