Edit Profile (opens in new tab) Krener, Arthur James Co-Author Distance Author ID: krener.arthur-j Published as: Krener, Arthur J.; Krener, A. J.; Krener, Arthur more...less Homepage: https://www.math.ucdavis.edu/~krener/ External Links: MGP · Wikidata · Math-Net.Ru · dblp Documents Indexed: 104 Publications since 1973, including 8 Additional arXiv Preprints Biographic References: 1 Publication Co-Authors: 44 Co-Authors with 51 Joint Publications 1,321 Co-Co-Authors all top 5 Co-Authors 51 single-authored 10 Kang, Wei 6 Isidori, Alberto 5 Hamzi, Boumediene 5 Levy, Bernard C. 5 Xiao, Mingqing 3 Aguilar, Cesar O. 3 Frezza, Ruggero 3 Gori-Giorgi, Claudio 3 Hunt, Thomas 3 Monaco, Salvatore 2 Hermann, Robert 2 Hubbard, Mont 2 Karahan, Sinan 2 Kazantzis, Nikolaos K. 2 Kravaris, Costas 2 Maag, Benoit 2 Phelps, Andrew R. 2 Wang, Hongyun 2 Zhou, Hong 1 Ball, Joseph Anthony 1 Banaszuk, Andrzej 1 Byrnes, Christopher Ian 1 Caines, Peter Edwin 1 Chang, Dong Eui 1 Coleman, Jerome M. 1 Ezal, Kenan 1 Georgiou, Costas 1 Griffiths, Phillip Augustus 1 Hermann, Gabrielle 1 Humbert, J. Sean 1 Kachroo, Pushkin 1 Kokotovic, Petar V. 1 Kotiuga, Peter Robert 1 Lesiak, Casimir 1 Li, Long 1 Lobry, Claude 1 Pan, Zigang 1 Previato, Emma 1 Respondek, Witold 1 Schättler, Heinz Michael 1 Sotiropoulos, Vassilios 1 Tall, Issa Amadou 1 Weinstein, Alan David 1 Woit, Peter all top 5 Serials 11 IEEE Transactions on Automatic Control 11 SIAM Journal on Control and Optimization 10 Systems & Control Letters 3 Stochastics 3 SIAM Journal on Control 2 Journal of Mathematical Physics 2 Journal of Non-Newtonian Fluid Mechanics 2 Stochastics and Stochastics Reports 2 Journal of Mathematical Systems, Estimation, and Control 1 International Journal of Control 1 Automatica 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Probability Theory and Related Fields 1 Notices of the American Mathematical Society 1 International Journal of Robust and Nonlinear Control 1 Communications in Information and Systems 1 Multiscale Modeling & Simulation 1 IEEE Control Systems all top 5 Fields 83 Systems theory; control (93-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Probability theory and stochastic processes (60-XX) 11 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Manifolds and cell complexes (57-XX) 4 Statistics (62-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 1,843 times in 1,299 Documents Cited by ▼ Year ▼ Nonlinear controllability and observability. Zbl 0396.93015 Hermann, Robert; Krener, Arthur J. 334 1977 Linearization by output injection and nonlinear observers. Zbl 0524.93030 Krener, Arthur J.; Isidori, Alberto 262 1983 Nonlinear observers with linearizable error dynamics. Zbl 0569.93035 Krener, Arthur J.; Respondek, Witold 229 1985 The high order maximal principle and its application to singular extremals. Zbl 0354.49008 Krener, Arthur J. 141 1977 Nonlinear decoupling via feedback: a differential geometric approach. Zbl 0481.93037 Isidori, Alberto; Krener, Arthur J.; Gori-Giorgi, Claudio; Monaco, Salvatore 115 1981 On the equivalence of control systems and the linearization of nonlinear systems. Zbl 0243.93009 Krener, Arthur J. 76 1973 A generalization of Chow’s theorem and the bang bang theorem to nonlinear control problems. Zbl 0243.93008 Krener, Arthur J. 42 1974 Nonlinear observer design in the Siegel domain. Zbl 1052.93013 Krener, Arthur J.; Xiao, MingQing 41 2004 Approximate linearization by state feedback and coordinate change. Zbl 0555.93027 Krener, Arthur J. 39 1984 The existence and uniqueness of Volterra series for nonlinear systems. Zbl 0393.93009 Lesiak, Casimir; Krener, Arthur J. 39 1978 Extended quadratic controller normal form and dynamic state feedback linearization of nonlinear systems. Zbl 0771.93034 Kang, Wei; Krener, Arthur J. 39 1992 The structure of small-time reachable sets in low dimensions. Zbl 0669.49020 Krener, Arthur J.; Schättler, Heinz 24 1989 Modeling and estimation of discrete-time Gaussian reciprocal processes. Zbl 0709.60043 Levy, Bernard C.; Frezza, Ruggero; Krener, Arthur J. 24 1990 Backstepping design with local optimality matching. Zbl 1007.93025 Pan, Zigang; Ezal, Kenan; Krener, Arthur J.; Kokotović, Petar V. 21 2001 The construction of optimal linear and nonlinear regulators. Zbl 0778.49024 Krener, Arthur J. 20 1992 Bilinear and nonlinear realizations of input-output maps. Zbl 0306.93010 Krener, Arthur J. 19 1975 A decomposition theory for differentiable systems. Zbl 0361.93023 Krener, Arthur J. 17 1977 Nonlinear discrete-time observer design with linearizable error dynamics. Zbl 1364.93101 Xiao, MingQing; Kazantzis, Nikolaos; Kravaris, Costas; Krener, Arthur J. 17 2003 Reciprocal diffusions and stochastic differential equations of second order. Zbl 0653.60048 Krener, Arthur J. 16 1988 Control bifurcations. Zbl 1365.34072 Krener, Arthur J.; Kang, Wei; Chang, Dong Eui 16 2004 Locally (f,g) invariant distributions. Zbl 0483.93051 Isidori, A.; Krener, A. J.; Gori-Giorgi, C.; Monaco, S. 15 1981 Reciprocal diffusions in flat space. Zbl 0868.60049 Krener, Arthur J. 14 1997 \((Ad_{f,g})\), \((ad_{f,g})\) and locally \((ad_{f,g})\) invariant and controllability distributions. Zbl 0571.93032 Krener, Arthur J. 14 1985 Patchy solutions of Hamiltonian-Jacobi-Bellman partial differential equations. Zbl 1354.93071 Navasca, Carmeliza; Krener, Arthur J. 13 2007 Acausal realization theory. I: Linear deterministic systems. Zbl 0626.93010 Krener, A. J. 12 1987 Locally convergent nonlinear observers. Zbl 1035.93034 Krener, Arthur J.; Kang, Wei 12 2003 On feedback equivalence of nonlinear systems. Zbl 0537.93038 Isidori, A.; Krener, A. J. 11 1982 The controlled center dynamics. Zbl 1108.93027 Hamzi, Boumediene; Kang, Wei; Krener, Arthur J. 11 2005 The convergence of the extended Kalman filter. Zbl 1041.93053 Krener, Arthur J. 11 2003 Nonlinear observer design for state and disturbance estimation. Zbl 1123.93026 Kravaris, Costas; Sotiropoulos, Vassilios; Georgiou, Costas; Kazantzis, Nikolaos; Xiao, MingQing; Krener, Arthur J. 11 2007 The controlled center dynamics of discrete time control bifurcations. Zbl 1129.93501 Hamzi, Boumediene; Krener, Arthur J.; Kang, Wei 10 2006 Observers for linearly unobservable nonlinear systems. Zbl 0994.93002 Krener, Arthur J.; Xiao, MingQing 10 2002 Gaussian reciprocal processes and self-adjoint stochastic differential equations of second order. Zbl 0724.60063 Krener, Arthur J.; Frezza, Ruggero; Levy, Bernard C. 10 1991 Dynamics and kinematics of reciprocal diffusions. Zbl 0773.60097 Levy, Bernard C.; Krener, Arthur J. 10 1993 Numerical solutions to the Bellman equation of optimal control. Zbl 1301.49064 Aguilar, Cesar O.; Krener, Arthur J. 10 2014 Stochastic mechanics of reciprocal diffusions. Zbl 0869.60090 Levy, Bernard C.; Krener, Arthur J. 8 1996 Feedback linearization. Zbl 0927.93021 Krener, A. J. 8 1998 Boundary value linear systems. Zbl 0458.93027 Krener, Arthur J. 7 1980 The convergence of the minimum energy estimator. Zbl 1203.93194 Krener, Arthur J. 7 2003 Nonlinear stabilizability and detectability. Zbl 0816.93067 Krener, Arthur J. 7 1994 Local approximation of control systems. Zbl 0276.93020 Krener, Arthur J. 6 1975 Necessary and sufficient conditions for nonlinear worst case \((H_ \infty)\) control and estimation. Zbl 0814.93028 Krener, A. J. 6 1994 The high order maximal principle. Zbl 0274.49006 Krener, Arthur J. 6 1973 The complexity of stochastic differential equations. Zbl 0452.60069 Krener, Arthur J.; Lobry, Claude 5 1981 A note on commutative bilinear optimal control. Zbl 0388.49005 Krener, Arthur J. 5 1978 The observability of cascade connected nonlinear systems. Zbl 0522.93017 Isidori, A.; Krener, A. J.; Gori-Giorgi, C.; Monaco, S. 5 1982 Normal forms for linear and nonlinear systems. Zbl 0695.93014 Krener, Arthur J. 4 1987 Reduced order modeling of nonlinear control systems. Zbl 1190.93014 Krener, Arthur J. 4 2008 A Lyapunov theory of nonlinear observers. Zbl 0916.93019 Krener, A. J. 4 1999 Normal forms and bifurcations of discrete-time nonlinear control systems. Zbl 1014.93018 Krener, Arthur J.; Li, Long 4 2002 A formal approach to stochastic integration and differential equations. Zbl 0435.60051 Krener, Arthur J. 4 1979 (Ad f,G) invariant and controllability distributions. Zbl 0522.93013 Krener, Arthur J.; Isidori, Alberto 4 1982 Dynamics and control of entrained solutions in multi-mode Moore-Greitzer compressor models. Zbl 0945.93008 Humbert, J. Sean; Krener, Arthur J. 3 1998 Nonlinear observer design for smooth systems. Zbl 1203.93035 Krener, A. J.; Xiao, M. 3 2006 Practical stabilization of systems with a fold control bifurcation. Zbl 1203.93175 Hamzi, Boumediene; Krener, Arthur J. 3 2003 New approaches to the design of nonlinear compensators. Zbl 0597.93027 Krener, Arthur J. 2 1984 On the existence of globally (f,g)-invariant distributions. Zbl 0554.93030 Byrnes, Christopher I.; Krener, Arthur J. 2 1983 Design of controllers for MG3 compressor models with general characteristics using graph backstepping. Zbl 1126.93391 Banaszuk, Andrzej; Krener, Arthur J. 2 1999 \(H_\infty\) tracking control for a class of nonlinear systems. Zbl 0955.93011 Ball, Joseph A.; Kachroo, Pushkin; Krener, Arthur J. 2 1999 The local solvability of a Hamilton-Jacobi-Bellman PDE around a nonhyperbolic critical point. Zbl 1001.49026 Krener, Arthur J. 2 2001 The controlled center systems. Zbl 1366.93205 Hamzi, Boumediene; Krener, Arthur J. 2 2007 Normal forms of nonlinear control systems. Zbl 1203.93038 Kang, W.; Krener, A. J. 2 2006 The important state coordinates of a nonlinear system. Zbl 1118.93307 Krener, Arthur J. 2 2007 Poincaré’s linearization method applied to the design of nonlinear compensators. Zbl 0793.93047 Krener, Arthur; Hubbard, Mont; Karahan, Sinan; Phelps, Andrew; Maag, Benoit 2 1991 Patchy solution of a Francis-Byrnes-Isidori partial differential equation. Zbl 1271.93082 Aguilar, Cesar O.; Krener, Arthur J. 2 2013 Boundary control of the beam equation by linear quadratic regulation. Zbl 1475.93058 Krener, Arthur J. 2 2021 The intrinsic geometry of dynamic observations. Zbl 0599.93055 Krener, Arthur J. 1 1986 The asymptotic approximation of nonlinear filters by linear filters. Zbl 0618.93064 Krener, Arthur J. 1 1986 Nonlinear controller design via approximate normal forms. Zbl 0709.93028 Krener, Arthur J. 1 1990 Conditioned invariant and locally conditioned invariant distributions. Zbl 0607.93029 Krener, Arthur J. 1 1986 Minimum covariance, minimax and minimum energy linear estimators. Zbl 0447.93044 Krener, Arthur J. 1 1979 Gaussian reciprocal diffusions and positive definite Sturm-Liouville operators. Zbl 0886.60074 Coleman, Jerome M.; Levy, Bernard C.; Krener, Arthur J. 1 1995 Computation of observer normal form using Macsyma. Zbl 0672.93026 Phelps, Andrew R.; Krener, Arthur J. 1 1988 The accessible sets of quadratic free nilpotent control systems. Zbl 1270.93014 Krener, Arthur J. 1 2011 Low codimension control singularities for single input nonlinear systems. Zbl 1203.93092 Krener, Arthur J.; Kang, Wei; Hamzi, Boumediene; Tall, Issa 1 2005 Degree two normal forms of control systems and the generalized Legendre Clebsch condition. Zbl 0789.93068 Krener, Arthur J.; Kang, Wei 1 1991 Controller and observer design for cubic systems. Zbl 0753.93041 Krener, Arthur J.; Maag, Benoît 1 1991 Homogeneous flow field effect on the control of Maxwell materials. Zbl 1273.76046 Zhou, Hong; Kang, Wei; Krener, Arthur; Wang, Hongyun 1 2008 Optimal boundary control of a nonlinear reaction diffusion equation via completing the square and Al’brekht’s method. Zbl 1541.93160 Krener, Arthur J. 1 2022 Optimal boundary control of a nonlinear reaction diffusion equation via completing the square and Al’brekht’s method. Zbl 1541.93160 Krener, Arthur J. 1 2022 Boundary control of the beam equation by linear quadratic regulation. Zbl 1475.93058 Krener, Arthur J. 2 2021 Numerical solutions to the Bellman equation of optimal control. Zbl 1301.49064 Aguilar, Cesar O.; Krener, Arthur J. 10 2014 Patchy solution of a Francis-Byrnes-Isidori partial differential equation. Zbl 1271.93082 Aguilar, Cesar O.; Krener, Arthur J. 2 2013 The accessible sets of quadratic free nilpotent control systems. Zbl 1270.93014 Krener, Arthur J. 1 2011 Reduced order modeling of nonlinear control systems. Zbl 1190.93014 Krener, Arthur J. 4 2008 Homogeneous flow field effect on the control of Maxwell materials. Zbl 1273.76046 Zhou, Hong; Kang, Wei; Krener, Arthur; Wang, Hongyun 1 2008 Patchy solutions of Hamiltonian-Jacobi-Bellman partial differential equations. Zbl 1354.93071 Navasca, Carmeliza; Krener, Arthur J. 13 2007 Nonlinear observer design for state and disturbance estimation. Zbl 1123.93026 Kravaris, Costas; Sotiropoulos, Vassilios; Georgiou, Costas; Kazantzis, Nikolaos; Xiao, MingQing; Krener, Arthur J. 11 2007 The controlled center systems. Zbl 1366.93205 Hamzi, Boumediene; Krener, Arthur J. 2 2007 The important state coordinates of a nonlinear system. Zbl 1118.93307 Krener, Arthur J. 2 2007 The controlled center dynamics of discrete time control bifurcations. Zbl 1129.93501 Hamzi, Boumediene; Krener, Arthur J.; Kang, Wei 10 2006 Nonlinear observer design for smooth systems. Zbl 1203.93035 Krener, A. J.; Xiao, M. 3 2006 Normal forms of nonlinear control systems. Zbl 1203.93038 Kang, W.; Krener, A. J. 2 2006 The controlled center dynamics. Zbl 1108.93027 Hamzi, Boumediene; Kang, Wei; Krener, Arthur J. 11 2005 Low codimension control singularities for single input nonlinear systems. Zbl 1203.93092 Krener, Arthur J.; Kang, Wei; Hamzi, Boumediene; Tall, Issa 1 2005 Nonlinear observer design in the Siegel domain. Zbl 1052.93013 Krener, Arthur J.; Xiao, MingQing 41 2004 Control bifurcations. Zbl 1365.34072 Krener, Arthur J.; Kang, Wei; Chang, Dong Eui 16 2004 Nonlinear discrete-time observer design with linearizable error dynamics. Zbl 1364.93101 Xiao, MingQing; Kazantzis, Nikolaos; Kravaris, Costas; Krener, Arthur J. 17 2003 Locally convergent nonlinear observers. Zbl 1035.93034 Krener, Arthur J.; Kang, Wei 12 2003 The convergence of the extended Kalman filter. Zbl 1041.93053 Krener, Arthur J. 11 2003 The convergence of the minimum energy estimator. Zbl 1203.93194 Krener, Arthur J. 7 2003 Practical stabilization of systems with a fold control bifurcation. Zbl 1203.93175 Hamzi, Boumediene; Krener, Arthur J. 3 2003 Observers for linearly unobservable nonlinear systems. Zbl 0994.93002 Krener, Arthur J.; Xiao, MingQing 10 2002 Normal forms and bifurcations of discrete-time nonlinear control systems. Zbl 1014.93018 Krener, Arthur J.; Li, Long 4 2002 Backstepping design with local optimality matching. Zbl 1007.93025 Pan, Zigang; Ezal, Kenan; Krener, Arthur J.; Kokotović, Petar V. 21 2001 The local solvability of a Hamilton-Jacobi-Bellman PDE around a nonhyperbolic critical point. Zbl 1001.49026 Krener, Arthur J. 2 2001 A Lyapunov theory of nonlinear observers. Zbl 0916.93019 Krener, A. J. 4 1999 Design of controllers for MG3 compressor models with general characteristics using graph backstepping. Zbl 1126.93391 Banaszuk, Andrzej; Krener, Arthur J. 2 1999 \(H_\infty\) tracking control for a class of nonlinear systems. Zbl 0955.93011 Ball, Joseph A.; Kachroo, Pushkin; Krener, Arthur J. 2 1999 Feedback linearization. Zbl 0927.93021 Krener, A. J. 8 1998 Dynamics and control of entrained solutions in multi-mode Moore-Greitzer compressor models. Zbl 0945.93008 Humbert, J. Sean; Krener, Arthur J. 3 1998 Reciprocal diffusions in flat space. Zbl 0868.60049 Krener, Arthur J. 14 1997 Stochastic mechanics of reciprocal diffusions. Zbl 0869.60090 Levy, Bernard C.; Krener, Arthur J. 8 1996 Gaussian reciprocal diffusions and positive definite Sturm-Liouville operators. Zbl 0886.60074 Coleman, Jerome M.; Levy, Bernard C.; Krener, Arthur J. 1 1995 Nonlinear stabilizability and detectability. Zbl 0816.93067 Krener, Arthur J. 7 1994 Necessary and sufficient conditions for nonlinear worst case \((H_ \infty)\) control and estimation. Zbl 0814.93028 Krener, A. J. 6 1994 Dynamics and kinematics of reciprocal diffusions. Zbl 0773.60097 Levy, Bernard C.; Krener, Arthur J. 10 1993 Extended quadratic controller normal form and dynamic state feedback linearization of nonlinear systems. Zbl 0771.93034 Kang, Wei; Krener, Arthur J. 39 1992 The construction of optimal linear and nonlinear regulators. Zbl 0778.49024 Krener, Arthur J. 20 1992 Gaussian reciprocal processes and self-adjoint stochastic differential equations of second order. Zbl 0724.60063 Krener, Arthur J.; Frezza, Ruggero; Levy, Bernard C. 10 1991 Poincaré’s linearization method applied to the design of nonlinear compensators. Zbl 0793.93047 Krener, Arthur; Hubbard, Mont; Karahan, Sinan; Phelps, Andrew; Maag, Benoit 2 1991 Degree two normal forms of control systems and the generalized Legendre Clebsch condition. Zbl 0789.93068 Krener, Arthur J.; Kang, Wei 1 1991 Controller and observer design for cubic systems. Zbl 0753.93041 Krener, Arthur J.; Maag, Benoît 1 1991 Modeling and estimation of discrete-time Gaussian reciprocal processes. Zbl 0709.60043 Levy, Bernard C.; Frezza, Ruggero; Krener, Arthur J. 24 1990 Nonlinear controller design via approximate normal forms. Zbl 0709.93028 Krener, Arthur J. 1 1990 The structure of small-time reachable sets in low dimensions. Zbl 0669.49020 Krener, Arthur J.; Schättler, Heinz 24 1989 Reciprocal diffusions and stochastic differential equations of second order. Zbl 0653.60048 Krener, Arthur J. 16 1988 Computation of observer normal form using Macsyma. Zbl 0672.93026 Phelps, Andrew R.; Krener, Arthur J. 1 1988 Acausal realization theory. I: Linear deterministic systems. Zbl 0626.93010 Krener, A. J. 12 1987 Normal forms for linear and nonlinear systems. Zbl 0695.93014 Krener, Arthur J. 4 1987 The intrinsic geometry of dynamic observations. Zbl 0599.93055 Krener, Arthur J. 1 1986 The asymptotic approximation of nonlinear filters by linear filters. Zbl 0618.93064 Krener, Arthur J. 1 1986 Conditioned invariant and locally conditioned invariant distributions. Zbl 0607.93029 Krener, Arthur J. 1 1986 Nonlinear observers with linearizable error dynamics. Zbl 0569.93035 Krener, Arthur J.; Respondek, Witold 229 1985 \((Ad_{f,g})\), \((ad_{f,g})\) and locally \((ad_{f,g})\) invariant and controllability distributions. Zbl 0571.93032 Krener, Arthur J. 14 1985 Approximate linearization by state feedback and coordinate change. Zbl 0555.93027 Krener, Arthur J. 39 1984 New approaches to the design of nonlinear compensators. Zbl 0597.93027 Krener, Arthur J. 2 1984 Linearization by output injection and nonlinear observers. Zbl 0524.93030 Krener, Arthur J.; Isidori, Alberto 262 1983 On the existence of globally (f,g)-invariant distributions. Zbl 0554.93030 Byrnes, Christopher I.; Krener, Arthur J. 2 1983 On feedback equivalence of nonlinear systems. Zbl 0537.93038 Isidori, A.; Krener, A. J. 11 1982 The observability of cascade connected nonlinear systems. Zbl 0522.93017 Isidori, A.; Krener, A. J.; Gori-Giorgi, C.; Monaco, S. 5 1982 (Ad f,G) invariant and controllability distributions. Zbl 0522.93013 Krener, Arthur J.; Isidori, Alberto 4 1982 Nonlinear decoupling via feedback: a differential geometric approach. Zbl 0481.93037 Isidori, Alberto; Krener, Arthur J.; Gori-Giorgi, Claudio; Monaco, Salvatore 115 1981 Locally (f,g) invariant distributions. Zbl 0483.93051 Isidori, A.; Krener, A. J.; Gori-Giorgi, C.; Monaco, S. 15 1981 The complexity of stochastic differential equations. Zbl 0452.60069 Krener, Arthur J.; Lobry, Claude 5 1981 Boundary value linear systems. Zbl 0458.93027 Krener, Arthur J. 7 1980 A formal approach to stochastic integration and differential equations. Zbl 0435.60051 Krener, Arthur J. 4 1979 Minimum covariance, minimax and minimum energy linear estimators. Zbl 0447.93044 Krener, Arthur J. 1 1979 The existence and uniqueness of Volterra series for nonlinear systems. Zbl 0393.93009 Lesiak, Casimir; Krener, Arthur J. 39 1978 A note on commutative bilinear optimal control. Zbl 0388.49005 Krener, Arthur J. 5 1978 Nonlinear controllability and observability. Zbl 0396.93015 Hermann, Robert; Krener, Arthur J. 334 1977 The high order maximal principle and its application to singular extremals. Zbl 0354.49008 Krener, Arthur J. 141 1977 A decomposition theory for differentiable systems. Zbl 0361.93023 Krener, Arthur J. 17 1977 Bilinear and nonlinear realizations of input-output maps. Zbl 0306.93010 Krener, Arthur J. 19 1975 Local approximation of control systems. Zbl 0276.93020 Krener, Arthur J. 6 1975 A generalization of Chow’s theorem and the bang bang theorem to nonlinear control problems. Zbl 0243.93008 Krener, Arthur J. 42 1974 On the equivalence of control systems and the linearization of nonlinear systems. Zbl 0243.93009 Krener, Arthur J. 76 1973 The high order maximal principle. Zbl 0274.49006 Krener, Arthur J. 6 1973 all cited Publications top 5 cited Publications all top 5 Cited by 1,780 Authors 19 Barbot, Jean-Pierre 18 Bonnard, Bernard 18 Tornambè, Antonio 17 Boutat, Driss 17 Hammouri, Hassan 16 Krener, Arthur James 14 Isidori, Alberto 14 Letellier, Christophe 14 Nijmeijer, Henk 13 Kotta, Ulle 12 Monaco, Salvatore 12 Trélat, Emmanuel 12 Vaidyanathan, Sundarapandian 11 Chappell, Michael J. 11 Normand-Cyrot, Dorothée 10 Godfrey, Keith R. 10 Kravaris, Costas 10 Respondek, Witold 10 Zheng, Gang 9 Gauthier, Jean-Paul A. 9 Germani, Alfredo 9 Hunt, Louis R. 9 van der Schaft, Arjan J. 9 Xia, Xiaohua 8 Besançon, Gildas 8 Fliess, Michel 8 Hamzi, Boumediene 8 Levy, Bernard C. 8 Schättler, Heinz Michael 8 Seo, Jin Heon 8 Tsinias, John 8 Xie, Xuejun 7 Aguirre, Luis Antonio 7 Chapman, Michael John 7 Farza, Mondher 7 Gao, Weinan 7 Gazor, Majid 7 Glumineau, Alain 7 Kang, Wei 7 Kazantzis, Nikolaos K. 7 Ledzewicz, Urszula 7 Moog, Claude H. 7 Pavon, Michele 7 Zeitz, Michael J. 6 Agrachev, Andreĭ Aleksandrovich 6 Banks, Stephen Paul 6 Bartosiewicz, Zbigniew 6 Breiten, Tobias 6 Byrnes, Christopher Ian 6 Conforti, Giovanni 6 Evans, Neil D. 6 Grasse, Kevin A. 6 Hermes, Henry 6 Ignatovich, Svetlana Yu. 6 Kaldmäe, Arvo 6 Kokotovic, Petar V. 6 Kunisch, Karl 6 Lin, Wei 6 Manes, Costanzo 6 Marcus, Steven I. 6 Perruquetti, Wilfrid 6 Qian, Chunjiang 6 Rouot, Jérémy 6 Shen, Yanjun 6 Tall, Issa Amadou 6 Xiao, Mingqing 6 Zhirabok, Alexey N. 5 Back, Juhoon 5 Billings, Stephen A. 5 Boutat-Baddas, Latifa 5 Casti, John L. 5 Cots, Olivier 5 Crouch, Peter E. 5 Darouach, Mohamed 5 Djemai, Mohamed 5 Elliott, David LeRoy 5 Floquet, Thierry 5 Jiang, Zhong-Ping 5 Lee, Honggi 5 Lynch, Alan F. 5 Mardanov, Misir Dzhumail ogly 5 Ménard, Tomas 5 Menini, Laura 5 Moreno, Jaime A. 5 M’Saad, Mohammed 5 Paraskevopoulos, Paraskevas N. 5 Shim, Hyungbo 5 Su, Renjeng 5 Tomei, Patrizio 5 Zemouche, Ali 5 Zhang, Xu 4 Batista, Pedro 4 Battilotti, Stefano 4 Boutayeb, Mohamed 4 Busawon, Krishna K. 4 Califano, Claudia 4 Chanane, Bilal 4 Chen, Guanrong 4 Cheng, Daizhan 4 Christodoulou, Manolis A. ...and 1,680 more Authors all top 5 Cited in 214 Serials 190 Systems & Control Letters 142 Automatica 131 International Journal of Control 50 International Journal of Robust and Nonlinear Control 38 International Journal of Systems Science 36 European Journal of Control 26 Mathematical Biosciences 25 Journal of the Franklin Institute 24 Journal of Optimization Theory and Applications 24 SIAM Journal on Control and Optimization 24 MCSS. Mathematics of Control, Signals, and Systems 19 Mathematical Systems Theory 19 Asian Journal of Control 17 Journal of Differential Equations 17 Kybernetika 17 Chaos 16 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 Journal of Mathematical Sciences (New York) 13 Journal of Dynamical and Control Systems 11 Applied Mathematics and Computation 11 Nonlinear Analysis. Theory, Methods & Applications 10 Mathematical Problems in Engineering 9 Optimal Control Applications & Methods 9 Acta Applicandae Mathematicae 8 Journal of Mathematical Analysis and Applications 8 Applied Mathematics Letters 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Mathematical Control and Related Fields 7 Journal of Mathematical Physics 7 Journal of Computational and Applied Mathematics 7 Journal of Soviet Mathematics 7 International Journal of Adaptive Control and Signal Processing 7 International Journal of Applied Mathematics and Computer Science 6 Computers & Mathematics with Applications 6 Automation and Remote Control 6 Linear Algebra and its Applications 6 Nonlinear Dynamics 6 Differential Equations 6 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Mathematics and Computers in Simulation 5 Circuits, Systems, and Signal Processing 5 Probability Theory and Related Fields 5 Communications in Nonlinear Science and Numerical Simulation 4 International Journal of General Systems 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Optimization 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Discrete and Continuous Dynamical Systems. Series B 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 IET Control Theory & Applications 3 Applicable Analysis 3 Journal of Mathematical Biology 3 Physics Letters. A 3 Stochastics 3 Journal of Geometry and Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Bulletin de la Société Mathématique de France 3 Integral Equations and Operator Theory 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Applied Mathematics and Mechanics. (English Edition) 3 Mathematical and Computer Modelling 3 SIAM Review 3 Stochastic Processes and their Applications 3 Journal of Computer and Systems Sciences International 3 Abstract and Applied Analysis 3 Journal of Applied Mathematics 3 SIAM Journal on Applied Dynamical Systems 3 Journal of Control Theory and Applications 3 Proceedings of the Estonian Academy of Sciences 3 Journal of Control Science and Engineering 3 Journal of Theoretical Biology 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Fuzzy Sets and Systems 2 Information Sciences 2 Physica D 2 Journal of Symbolic Computation 2 SIAM Journal on Matrix Analysis and Applications 2 Computational Mathematics and Modeling 2 Multidimensional Systems and Signal Processing 2 Dynamics and Control 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Nonlinear Science 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Computational Optimization and Applications 2 SIAM Journal on Scientific Computing 2 Journal of Vibration and Control 2 Advances in Difference Equations 2 Stochastics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Control Theory and Technology 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Computational Physics 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Reports on Mathematical Physics ...and 114 more Serials all top 5 Cited in 55 Fields 1,100 Systems theory; control (93-XX) 186 Calculus of variations and optimal control; optimization (49-XX) 106 Ordinary differential equations (34-XX) 82 Biology and other natural sciences (92-XX) 77 Dynamical systems and ergodic theory (37-XX) 62 Probability theory and stochastic processes (60-XX) 47 Mechanics of particles and systems (70-XX) 44 Operations research, mathematical programming (90-XX) 38 Global analysis, analysis on manifolds (58-XX) 32 Numerical analysis (65-XX) 29 Manifolds and cell complexes (57-XX) 26 Partial differential equations (35-XX) 23 Information and communication theory, circuits (94-XX) 21 Computer science (68-XX) 19 Nonassociative rings and algebras (17-XX) 18 Differential geometry (53-XX) 16 Approximations and expansions (41-XX) 16 Operator theory (47-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Quantum theory (81-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Topological groups, Lie groups (22-XX) 8 Combinatorics (05-XX) 8 Statistics (62-XX) 7 Measure and integration (28-XX) 7 Fluid mechanics (76-XX) 6 Real functions (26-XX) 5 Algebraic geometry (14-XX) 5 Integral equations (45-XX) 5 Functional analysis (46-XX) 4 Mathematical logic and foundations (03-XX) 4 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Algebraic topology (55-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 3 General topology (54-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of deformable solids (74-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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