Edit Profile Sussmann, Hector J. Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 0274.58002Sussmann, Hector J. 237 1973 Controllability of nonlinear systems. Zbl 0242.49040Sussmann, Hector J.; Judjevic, Velimir 171 1972 A general result on the stabilization of linear systems using bounded controls. Zbl 0811.93046Sussmann, Héctor J.; Sontag, Eduardo D.; Yang, Yudi 159 1994 On the gap between deterministic and stochastic ordinary differential equations. Zbl 0391.60056Sussmann, Hector J. 127 1978 Control systems on Lie groups. Zbl 0237.93027Jurdjevic, Velimir; Sussmann, Hector J. 117 1972 A general theorem on local controllability. Zbl 0629.93012Sussmann, H. J. 99 1987 The peaking phenomenon and the global stabilization of nonlinear systems. Zbl 0749.93070Sussmann, H. J.; Kokotovic, P. V. 88 1991 Global stabilization of partially linear composite systems. Zbl 0719.93071Saberi, A.; Kokotovic, P. V.; Sussmann, H. J. 63 1990 Subanalytic sets and feedback control. Zbl 0407.93010Sussmann, Hector J. 62 1979 A positive real condition for global stabilization of nonlinear systems. Zbl 0684.93066Kokotovic, P. V.; Sussmann, H. J. 60 1989 Lie brackets and local controllability: A sufficient condition for scalar-input systems. Zbl 0523.49026Sussmann, Hector J. 54 1983 Existence and uniqueness of minimal realizations of nonlinear systems. Zbl 0354.93017Sussman, Hector J. 54 1977 Remarks on the pole-shifting problem over rings. Zbl 0455.15009Bumby, R.; Sontag, E. D.; Sussmann, H. J.; Vasconcelos, W. 50 1981 Shortest paths for sub-Riemannian metrics on rank-two distributions. Zbl 0843.53038Liu, Wensheng; Sussman, Héctor J. 48 1995 Lie brackets, real analyticity and geometric control. Zbl 0545.93002Sussmann, H. J. 40 1983 Some properties of vector field systems that are not altered by small perturbations. Zbl 0346.49036Sussmann, Hector J. 40 1976 Single-input observability of continuous-time systems. Zbl 0422.93019Sussmann, Hector J. 36 1979 Further comments on the stabilizability of the angular velocity of a rigid body. Zbl 0675.93064Sontag, Eduardo D.; Sussmann, Héctor J. 34 1989 A sufficient condition for local controllability. Zbl 0391.93004Sussmann, Hector J. 30 1978 Regular synthesis and sufficiency conditions for optimality. Zbl 0961.93014Piccoli, Benedetto; Sussmann, Héctor J. 29 2000 The structure of time-optimal trajectories for single-input systems in the plane: The general real analytic case. Zbl 0664.93034Sussmann, H. J. 26 1987 An interpretation of stochastic differential equations as ordinary differential equations which depend on the sample point. Zbl 0367.60060Sussmann, Hector J. 25 1977 A bang-bang theorem with bounds on the number of switchings. Zbl 0427.49008Sussmann, Hector J. 24 1979 A generalization of the closed subgroup theorem to quotients of arbitrary manifolds. Zbl 0342.58004Sussmann, Hector J. 24 1975 A nonsmooth hybrid maximum principle. Zbl 0967.49016Sussmann, Héctor J. 23 1999 Global stabilization of linear discrete-time systems with bounded feedback. Zbl 0901.93053Yang, Yudi; Sontag, Eduardo D.; Sussmann, Hector J. 23 1997 Commutators of flow maps of nonsmooth vector fields. Zbl 1137.37010Rampazzo, Franco; Sussmann, Héctor J. 22 2007 An introduction to the coordinate-free maximum principle. Zbl 0925.93135Sussmann, Hector J. 21 1998 Real-analytic desingularization and subanalytic sets: An elementary approach. Zbl 0696.32005Sussmann, H. J. 21 1990 Orbits of families of vector fields and integrability of systems with singularities. Zbl 0255.58001Sussmann, Hector J. 18 1973 Regular synthesis for time-optimal control of single-input real analytic systems in the plane. Zbl 0701.93035Sussmann, H. J. 17 1987 On controllability by means of two vector fields. Zbl 0313.93006Levitt, Norman; Sussmann, Hector J. 17 1975 The ”bang-bang” problem for certain control systems in GL(n,R). Zbl 0242.49041Sussmann, Hector J. 17 1972 Noncommutative power series and formal Lie-algebraic techniques in nonlinear control theory. Zbl 0919.93035Kawski, Matthias; Sussmann, Héctor J. 16 1997 A differential geometric approach to motion planning. Zbl 0788.70017Lafferriere, Gerardo; Sussmann, Héctor J. 16 1992 Global controllability by nice controls. Zbl 0703.93014Grasse, Kevin A.; Sussmann, H. J. 16 1990 An extension of a theorem of Nagano on transitive Lie algebras. Zbl 0301.58003Sussmann, Hector J. 16 1974 Geometry and optimal control. Zbl 1067.49500Sussmann, H. J. 15 1998 A cornucopia of four-dimensional abnormal sub-Riemannian minimizers. Zbl 0862.53033Sussmann, Héctor J. 15 1996 A product expansion for the Chen series. Zbl 0619.93021Sussmann, H. J. 14 1986 Minimal realizations and canonical forms for bilinear systems. Zbl 0335.93021Sussmann, Hector J. 14 1976 Regular synthesis for time-optimal control of single-input real analytic systems in the plane. Zbl 0696.93026Sussmann, H. J. 13 1987 Nonexistence of finite-dimensional filters for conditional statistics of the cubic sensor problem. Zbl 0539.93077Hazewinkel, M.; Marcus, S. I.; Sussmann, H. J. 12 1983 Bounds on the number of switchings for trajectories of piecewise analytic vector fields. Zbl 0488.34033Sussmann, Hector J. 12 1982 Symmetries and integrals of motion in optimal control. Zbl 0891.49011Sussmann, Hector J. 11 1995 Limitations on the stabilizability of globally minimum phase systems. Zbl 0708.93070Sussmann, H. J. 11 1990 Backpropagation can give rise to spurious local minima even for networks without hidden layers. Zbl 0732.68091Sontag, Eduardo D.; Sussmann, Héctor J. 10 1989 Catastrophe theory as applied to the social and biological sciences: A critique. Zbl 0389.92002Sussmann, Hector J.; Zahler, Raphael S. 10 1978 300 years of optimal control: From the brachystochrone to the maximum principle. Zbl 1014.49001Sussmann, Hector J.; Willems, Jan C. 9 2001 Line-integral estimates and motion planning using the continuation method. Zbl 0946.70003Chitour, Yacine; Sussmann, Héctor J. 9 1998 Continuous dependence with respect to the input of trajectories of control-affine systems. Zbl 0919.34003Liu, Wensheng; Sussmann, Héctor J. 8 1999 New differential geometric methods in nonholonomic path finding. Zbl 0777.93014Sussmann, Héctor J. 8 1992 Some examples of reachable sets and optimal cost functions that fail to be subanalytic. Zbl 0569.49029Lojasiewicz, Stanisław jun.; Sussmann, H. J. 8 1985 Semigroup representations, bilinear approximation of input-output maps, and generalized inputs. Zbl 0353.93025Sussmann, Hector J. 8 1976 New theories of set-valued differentials and new versions of the maximum principle of optimal control theory. Zbl 0998.93022Sussmann, Héctor J. 7 2001 Abnormal sub-Riemannian minimizers. Zbl 0823.49026Liu, Wensheng; Sussmann, Héctor J. 7 1994 Optimal control theory and piecewise analyticity of the distance function for some real-analytic sub-Riemannian metrics. Zbl 0772.49019Sussmann, H. J. 7 1992 Small-time local controllability and continuity of the optimal time function for linear systems. Zbl 0596.93012Sussmann, H. J. 7 1987 A weak regularity theorem for real analytic optimal control problems. Zbl 0638.49018Sussmann, H. J. 7 1986 On quotients of manifolds: A generalization of the closed subgroup theorem. Zbl 0301.58002Sussmann, Hector J. 7 1974 Limits of the Wong-Zakai type with a modified drift term. Zbl 0733.60082Sussmann, Héctor J. 6 1991 Envelopes, conjugate points, and optimal bang-bang extremals. Zbl 0619.49017Sussmann, H. J. 6 1986 A Lie-Volterra expansion for nonlinear systems. Zbl 0538.93032Sussmann, H. J. 6 1984 Tangent bundles of homogeneous spaces are lomogeneous spaces. Zbl 0256.53039Brockett, R. W.; Sussmann, H. J. 6 1972 Control systems on Lie groups. Zbl 0227.93011Jurdjevic, Velimir; Sussmann, Héctor 6 1972 Construction of ergodic cocycles that are fundamental solutions to linear systems of a special form. Zbl 1135.37006Nerurkar, Mahesh G.; Sussmann, Héctor J. 5 2007 Construction of minimal cocycles arising from specific differential equations. Zbl 0894.93004Nerurkar, Mahesh G.; Sussmann, Héctor J. 5 1997 Some recent results on the maximum principle of optimal control theory. Zbl 0883.49020Sussmann, Hector J. 5 1997 A strong version of the Lojasiewicz maximum principle. Zbl 0816.49018Sussmann, H. J. 5 1994 Synthesis, presynthesis, sufficient conditions for optimality and subanalytic sets. Zbl 0712.49015Sussmann, H. J. 5 1990 Product expansions of exponential Lie series and the discretization of stochastic differential equations. Zbl 0651.60065Sussmann, H. J. 5 1988 Nonexistence of finite dimensional filters for conditional statistics of the cubic sensor problem. Zbl 0538.93061Hazewinkel, M.; Marcus, S. I.; Sussmann, H. J. 5 1984 Minimal realizations of nonlinear systems. Zbl 0291.93007Sussmann, Hector J. 5 1973 Smooth distributions are globally finitely spanned. Zbl 1206.58002Sussmann, Hector J. 4 2008 Complete controllability of continuous-time recurrent neural networks. Zbl 0901.93005Sontag, Eduardo; Sussmann, Héctor J. 4 1997 General classes of control-Lyapunov functions. Zbl 0854.93131Sontag, Eduardo D.; Sussmann, Héctor J. 4 1996 Time-optimal control in the plane. Zbl 0516.93025Sussmann, H. J. 4 1982 Analytic stratifications and control theory. Zbl 0499.93023Sussmann, Hector J. 4 1980 Generic single-input observability of continuous-time polynomial systems. Zbl 0428.93030Sussmann, Hector J. 4 1979 Catastrophe theory. Zbl 0309.58008Sussmann, Hector J. 4 1975 The control problem \(\dot x\) = (A(1 - \(u\)) + B\(u\))\(x\): A comment on an article by J. Kucera. Zbl 0251.49014Sussmann, Hector J. 4 1972 High-order open mapping theorems. Zbl 1161.58301Sussmann, Héctor J. 3 2003 Needle variations and almost lower semicontinuous differential inclusions. Zbl 1013.49021Sussmann, Héctor J. 3 2002 Multidifferential calculus: Chain rule, open mapping and transversal intersection theorems. Zbl 0981.49013Sussmann, Héctor J. 3 1998 Lie bracket extensions and averaging: The single-bracket case. Zbl 0786.70009Sussmann, Héctor J.; Liu, Wensheng 3 1992 Recent developments in the regularity theory of optimal trajectories. Zbl 0649.49003Sussmann, H. J. 3 1987 On the regularity of optimal controls. Zbl 0636.49009Schättler, Heinz M.; Sussmann, Héctor J. 3 1987 Differential geometric control theory. Proceedings of the Conference held at Michigan Technological University, June 28 - July 2, 1982. Zbl 0503.00014Brockett, Roger W. (ed.); Millman, Richard S. (ed.); Sussmann, Hector J. (ed.) 3 1983 Approximate finite-dimensional filters for some nonlinear problems. Zbl 0494.93048Sussmann, Hector J. 3 1982 On the number of directions needed to achieve controllability. Zbl 0268.93006Sussmann, Héctor J. 3 1974 The control problem \(\dot x\) = A(\(u\))\(x\). Zbl 0251.49015Sussmann, Hector J. 3 1972 Set separation, approximating multicones, and the Lipschitz maximum principle. Zbl 1354.49046Sussmann, H. J. 2 2007 The brachistochrone problem and modern control theory. Zbl 1047.93001Sussmann, Héctor J.; Willems, Jan C. 2 2002 Some optimal control applications of real-analytic stratifications and desingularization. Zbl 1050.49500Sussmann, Héctor J. 2 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 0699.00040Sussmann, H. J. (ed.) 2 1990 Some recent results on pathwise nonlinear filtering. Zbl 0538.93063Sussmann, H. J. 2 1984 The generalized pursuit problem where the pursuer uses band-bang controls. Zbl 0374.90094Levitt, N.; Sussmann, H. 2 1977 A Pontryagin maximum principle for systems of flows. Zbl 1201.49024Sussmann, Héctor J. 1 2008 Generalized differentials, variational generators, and the maximum principle with state constraints. Zbl 1156.49003Sussmann, H. J. 1 2008 Recent results on optimal curves. Zbl 1020.49020Sussmann, Héctor J. 1 2000 Smooth distributions are globally finitely spanned. Zbl 1206.58002Sussmann, Hector J. 4 2008 A Pontryagin maximum principle for systems of flows. Zbl 1201.49024Sussmann, Héctor J. 1 2008 Generalized differentials, variational generators, and the maximum principle with state constraints. Zbl 1156.49003Sussmann, H. J. 1 2008 Commutators of flow maps of nonsmooth vector fields. Zbl 1137.37010Rampazzo, Franco; Sussmann, Héctor J. 22 2007 Construction of ergodic cocycles that are fundamental solutions to linear systems of a special form. Zbl 1135.37006Nerurkar, Mahesh G.; Sussmann, Héctor J. 5 2007 Set separation, approximating multicones, and the Lipschitz maximum principle. Zbl 1354.49046Sussmann, H. J. 2 2007 High-order open mapping theorems. Zbl 1161.58301Sussmann, Héctor J. 3 2003 Needle variations and almost lower semicontinuous differential inclusions. Zbl 1013.49021Sussmann, Héctor J. 3 2002 The brachistochrone problem and modern control theory. Zbl 1047.93001Sussmann, Héctor J.; Willems, Jan C. 2 2002 300 years of optimal control: From the brachystochrone to the maximum principle. Zbl 1014.49001Sussmann, Hector J.; Willems, Jan C. 9 2001 New theories of set-valued differentials and new versions of the maximum principle of optimal control theory. Zbl 0998.93022Sussmann, Héctor J. 7 2001 Regular synthesis and sufficiency conditions for optimality. Zbl 0961.93014Piccoli, Benedetto; Sussmann, Héctor J. 29 2000 Recent results on optimal curves. Zbl 1020.49020Sussmann, Héctor J. 1 2000 A nonsmooth hybrid maximum principle. Zbl 0967.49016Sussmann, Héctor J. 23 1999 Continuous dependence with respect to the input of trajectories of control-affine systems. Zbl 0919.34003Liu, Wensheng; Sussmann, Héctor J. 8 1999 An introduction to the coordinate-free maximum principle. Zbl 0925.93135Sussmann, Hector J. 21 1998 Geometry and optimal control. Zbl 1067.49500Sussmann, H. J. 15 1998 Line-integral estimates and motion planning using the continuation method. Zbl 0946.70003Chitour, Yacine; Sussmann, Héctor J. 9 1998 Multidifferential calculus: Chain rule, open mapping and transversal intersection theorems. Zbl 0981.49013Sussmann, Héctor J. 3 1998 Some optimal control applications of real-analytic stratifications and desingularization. Zbl 1050.49500Sussmann, Héctor J. 2 1998 Essays on mathematical robots. Proceedings of a workshop, Minneapolis, MN, USA, January 25-29, 1993. Zbl 0903.00092Baillieul, John (ed.); Sastry, Shankar S. (ed.); Sussmann, Hector J. (ed.) 1 1998 Global stabilization of linear discrete-time systems with bounded feedback. Zbl 0901.93053Yang, Yudi; Sontag, Eduardo D.; Sussmann, Hector J. 23 1997 Noncommutative power series and formal Lie-algebraic techniques in nonlinear control theory. Zbl 0919.93035Kawski, Matthias; Sussmann, Héctor J. 16 1997 Construction of minimal cocycles arising from specific differential equations. Zbl 0894.93004Nerurkar, Mahesh G.; Sussmann, Héctor J. 5 1997 Some recent results on the maximum principle of optimal control theory. Zbl 0883.49020Sussmann, Hector J. 5 1997 Complete controllability of continuous-time recurrent neural networks. Zbl 0901.93005Sontag, Eduardo; Sussmann, Héctor J. 4 1997 A cornucopia of four-dimensional abnormal sub-Riemannian minimizers. Zbl 0862.53033Sussmann, Héctor J. 15 1996 General classes of control-Lyapunov functions. Zbl 0854.93131Sontag, Eduardo D.; Sussmann, Héctor J. 4 1996 Shortest paths for sub-Riemannian metrics on rank-two distributions. Zbl 0843.53038Liu, Wensheng; Sussman, Héctor J. 48 1995 Symmetries and integrals of motion in optimal control. Zbl 0891.49011Sussmann, Hector J. 11 1995 A general result on the stabilization of linear systems using bounded controls. Zbl 0811.93046Sussmann, Héctor J.; Sontag, Eduardo D.; Yang, Yudi 159 1994 Abnormal sub-Riemannian minimizers. Zbl 0823.49026Liu, Wensheng; Sussmann, Héctor J. 7 1994 A strong version of the Lojasiewicz maximum principle. Zbl 0816.49018Sussmann, H. J. 5 1994 A differential geometric approach to motion planning. Zbl 0788.70017Lafferriere, Gerardo; Sussmann, Héctor J. 16 1992 New differential geometric methods in nonholonomic path finding. Zbl 0777.93014Sussmann, Héctor J. 8 1992 Optimal control theory and piecewise analyticity of the distance function for some real-analytic sub-Riemannian metrics. Zbl 0772.49019Sussmann, H. J. 7 1992 Lie bracket extensions and averaging: The single-bracket case. Zbl 0786.70009Sussmann, Héctor J.; Liu, Wensheng 3 1992 The peaking phenomenon and the global stabilization of nonlinear systems. Zbl 0749.93070Sussmann, H. J.; Kokotovic, P. V. 88 1991 Limits of the Wong-Zakai type with a modified drift term. Zbl 0733.60082Sussmann, Héctor J. 6 1991 The leading term of a control variation. Zbl 0796.49040Sussmann, H. J. 1 1991 Global stabilization of partially linear composite systems. Zbl 0719.93071Saberi, A.; Kokotovic, P. V.; Sussmann, H. J. 63 1990 Real-analytic desingularization and subanalytic sets: An elementary approach. Zbl 0696.32005Sussmann, H. J. 21 1990 Global controllability by nice controls. Zbl 0703.93014Grasse, Kevin A.; Sussmann, H. J. 16 1990 Limitations on the stabilizability of globally minimum phase systems. Zbl 0708.93070Sussmann, H. J. 11 1990 Synthesis, presynthesis, sufficient conditions for optimality and subanalytic sets. Zbl 0712.49015Sussmann, H. J. 5 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 0699.00040Sussmann, H. J. (ed.) 2 1990 A positive real condition for global stabilization of nonlinear systems. Zbl 0684.93066Kokotovic, P. V.; Sussmann, H. J. 60 1989 Further comments on the stabilizability of the angular velocity of a rigid body. Zbl 0675.93064Sontag, Eduardo D.; Sussmann, Héctor J. 34 1989 Backpropagation can give rise to spurious local minima even for networks without hidden layers. Zbl 0732.68091Sontag, Eduardo D.; Sussmann, Héctor J. 10 1989 Product expansions of exponential Lie series and the discretization of stochastic differential equations. Zbl 0651.60065Sussmann, H. J. 5 1988 A general theorem on local controllability. Zbl 0629.93012Sussmann, H. J. 99 1987 The structure of time-optimal trajectories for single-input systems in the plane: The general real analytic case. Zbl 0664.93034Sussmann, H. J. 26 1987 Regular synthesis for time-optimal control of single-input real analytic systems in the plane. Zbl 0701.93035Sussmann, H. J. 17 1987 Regular synthesis for time-optimal control of single-input real analytic systems in the plane. Zbl 0696.93026Sussmann, H. J. 13 1987 Small-time local controllability and continuity of the optimal time function for linear systems. Zbl 0596.93012Sussmann, H. J. 7 1987 Recent developments in the regularity theory of optimal trajectories. Zbl 0649.49003Sussmann, H. J. 3 1987 On the regularity of optimal controls. Zbl 0636.49009Schättler, Heinz M.; Sussmann, Héctor J. 3 1987 A product expansion for the Chen series. Zbl 0619.93021Sussmann, H. J. 14 1986 A weak regularity theorem for real analytic optimal control problems. Zbl 0638.49018Sussmann, H. J. 7 1986 Envelopes, conjugate points, and optimal bang-bang extremals. Zbl 0619.49017Sussmann, H. J. 6 1986 Some examples of reachable sets and optimal cost functions that fail to be subanalytic. Zbl 0569.49029Lojasiewicz, Stanisław jun.; Sussmann, H. J. 8 1985 Lie brackets and real analyticity in control theory. Zbl 0583.93009Sussmann, Héctor J. 1 1985 Continuous versions of the conditional statistics of nonlinear filtering. Zbl 0561.60046Sussmann, H. J. 1 1985 A Lie-Volterra expansion for nonlinear systems. Zbl 0538.93032Sussmann, H. J. 6 1984 Nonexistence of finite dimensional filters for conditional statistics of the cubic sensor problem. Zbl 0538.93061Hazewinkel, M.; Marcus, S. I.; Sussmann, H. J. 5 1984 Some recent results on pathwise nonlinear filtering. Zbl 0538.93063Sussmann, H. J. 2 1984 Lie brackets and local controllability: A sufficient condition for scalar-input systems. Zbl 0523.49026Sussmann, Hector J. 54 1983 Lie brackets, real analyticity and geometric control. Zbl 0545.93002Sussmann, H. J. 40 1983 Nonexistence of finite-dimensional filters for conditional statistics of the cubic sensor problem. Zbl 0539.93077Hazewinkel, M.; Marcus, S. I.; Sussmann, H. J. 12 1983 Differential geometric control theory. Proceedings of the Conference held at Michigan Technological University, June 28 - July 2, 1982. Zbl 0503.00014Brockett, Roger W. (ed.); Millman, Richard S. (ed.); Sussmann, Hector J. (ed.) 3 1983 Bounds on the number of switchings for trajectories of piecewise analytic vector fields. Zbl 0488.34033Sussmann, Hector J. 12 1982 Time-optimal control in the plane. Zbl 0516.93025Sussmann, H. J. 4 1982 Approximate finite-dimensional filters for some nonlinear problems. Zbl 0494.93048Sussmann, Hector J. 3 1982 Remarks on the pole-shifting problem over rings. Zbl 0455.15009Bumby, R.; Sontag, E. D.; Sussmann, H. J.; Vasconcelos, W. 50 1981 Analytic stratifications and control theory. Zbl 0499.93023Sussmann, Hector J. 4 1980 Les semi-groupes sous-analytiques et la régularité des commandes en boucle fermée. Zbl 0459.93036Sussmann, Hector J. 1 1980 Subanalytic sets and feedback control. Zbl 0407.93010Sussmann, Hector J. 62 1979 Single-input observability of continuous-time systems. Zbl 0422.93019Sussmann, Hector J. 36 1979 A bang-bang theorem with bounds on the number of switchings. Zbl 0427.49008Sussmann, Hector J. 24 1979 Generic single-input observability of continuous-time polynomial systems. Zbl 0428.93030Sussmann, Hector J. 4 1979 On the gap between deterministic and stochastic ordinary differential equations. Zbl 0391.60056Sussmann, Hector J. 127 1978 A sufficient condition for local controllability. Zbl 0391.93004Sussmann, Hector J. 30 1978 Catastrophe theory as applied to the social and biological sciences: A critique. Zbl 0389.92002Sussmann, Hector J.; Zahler, Raphael S. 10 1978 On some self-immunization mechanisms of applied mathematics: The case of catastrophe theory. Zbl 0411.00017Sussmann, H. J. 1 1978 Existence and uniqueness of minimal realizations of nonlinear systems. Zbl 0354.93017Sussman, Hector J. 54 1977 An interpretation of stochastic differential equations as ordinary differential equations which depend on the sample point. Zbl 0367.60060Sussmann, Hector J. 25 1977 The generalized pursuit problem where the pursuer uses band-bang controls. Zbl 0374.90094Levitt, N.; Sussmann, H. 2 1977 Some properties of vector field systems that are not altered by small perturbations. Zbl 0346.49036Sussmann, Hector J. 40 1976 Minimal realizations and canonical forms for bilinear systems. Zbl 0335.93021Sussmann, Hector J. 14 1976 Semigroup representations, bilinear approximation of input-output maps, and generalized inputs. Zbl 0353.93025Sussmann, Hector J. 8 1976 A generalization of the closed subgroup theorem to quotients of arbitrary manifolds. Zbl 0342.58004Sussmann, Hector J. 24 1975 On controllability by means of two vector fields. Zbl 0313.93006Levitt, Norman; Sussmann, Hector J. 17 1975 Catastrophe theory. Zbl 0309.58008Sussmann, Hector J. 4 1975 An extension of a theorem of Nagano on transitive Lie algebras. Zbl 0301.58003Sussmann, Hector J. 16 1974 On quotients of manifolds: A generalization of the closed subgroup theorem. Zbl 0301.58002Sussmann, Hector J. 7 1974 On the number of directions needed to achieve controllability. Zbl 0268.93006Sussmann, Héctor J. 3 1974 Orbits of families of vector fields and integrability of distributions. Zbl 0274.58002Sussmann, Hector J. 237 1973 Orbits of families of vector fields and integrability of systems with singularities. Zbl 0255.58001Sussmann, Hector J. 18 1973 Minimal realizations of nonlinear systems. Zbl 0291.93007Sussmann, Hector J. 5 1973 Generalized spectral theory and second order ordinary differential operators. Zbl 0222.47013Sussmann, Hector J. 1 1973 ...and 7 more Documents all cited Publications top 5 cited Publications 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. 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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) Citations by Year