Arthur J. Krener | Academic Influence

Arthur J. Krener's AcademicInfluence.com Rankings

Arthur J. Krener

Engineering

#2824

World Rank

#3808

Historical Rank

#884

USA Rank

Systems Engineering

#33

World Rank

#35

Historical Rank

#8

USA Rank

Applied Physics

#943

World Rank

#967

Historical Rank

#135

USA Rank

engineering Degrees

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Engineering

Arthur J. Krener's Degrees

PhD Electrical Engineering University of California, Berkeley
Masters Electrical Engineering University of California, Berkeley
Bachelors Electrical Engineering University of California, Berkeley

Why Is Arthur J. Krener Influential?

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According to Wikipedia, Arthur James Krener is a distinguished visiting professor in the department of applied mathematics at the Naval Postgraduate School. He has made contributions in the areas of control theory, nonlinear control, and stochastic processes.

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Arthur J. Krener's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Nonlinear controllability and observability (1977) (2167)
Linearization by output injection and nonlinear observers (1983) (1366)
Nonlinear observers with linearizable error dynamics (1985) (1057)
Nonlinear decoupling via feedback: A differential geometric approach (1981) (585)
The High Order Maximal Principle and Its Application to Singular Extremals (1977) (413)
On the Equivalence of Control Systems and the Linearization of Nonlinear Systems (1973) (310)
Approximate linearization by state feedback and coordinate change (1984) (290)
Extended quadratic controller normal form and dynamic state feedback linearization of nonlinear systems (1992) (193)
Measures of unobservability (2009) (187)
A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems (1974) (180)
Nonlinear Observer Design in the Siegel Domain (2002) (173)
Modeling and estimation of discrete-time Gaussian reciprocal processes (1990) (155)
The existence and uniqueness of volterra series for nonlinear systems (1977) (126)
The Construction of Optimal Linear and Nonlinear Regulators (1992) (109)
Bilinear and Nonlinear Realizations of Input-Output Maps (1975) (95)
The Convergence of the Extended Kalman Filter (2002) (91)
Locally Convergent Nonlinear Observers (2003) (86)
The structure of small-time reachable sets in low dimensions (1989) (85)
Feedback linearization (1998) (84)
Nonlinear observer design for state and disturbance estimation (2007) (77)
Higher order linear approximations to nonlinear control systems (1987) (76)
Observers for linearly unobservable nonlinear systems (2002) (73)
Nonlinear discrete-time observer design with linearizable error dynamics (2003) (73)
Control bifurcations (2004) (71)
Partial and robust linearization by feedback (1983) (70)
Kalman-bucy and minimax filtering (1980) (62)
Backstepping design with local optimality matching (2001) (60)
Gaussian reciprocal processes and self-adjoint stochastic differential equations of second order (1991) (59)
On feedback equivalence of nonlinear systems (1982) (58)
Locally (f,g) invariant distributions* (1981) (55)
$({\text{Ad}}_{f,g} )$, $({\text{ad}}_{f,g} )$ and Locally $({\text{ad}}_{f,g} )$ Invariant and Controllability Distributions (1985) (53)
Reciprocal diffusions and stochastic differential equations of second order (1988) (52)
Patchy Solutions of Hamilton-Jacobi-Bellman Partial Differential Equations (2007) (48)
A Decomposition Theory for Differentiable Systems (1975) (47)
A causal realization theory, part I; linear deterministic systems (1987) (46)
Numerical Solutions to the Bellman Equation of Optimal Control (2014) (46)
Dynamics and kinematics of reciprocal diffusions (1993) (46)
The High Order Maximal Principle (1973) (43)
The Convergence of the Minimum Energy Estimator (2003) (38)
Nonlinear zero distributions (1980) (35)
Reciprocal diffusions in flat space (1997) (34)
Necessary and sufficient conditions for nonlinear worst case (H∞) control and estimation (1997) (32)
Approximate normal forms of nonlinear systems (1988) (31)
Solution of Hamilton Jacobi Bellman equations (2000) (31)
Model Predictive Regulation (2013) (30)
Local approximation of control systems (1975) (29)
Erratum: Nonlinear Observer Design in the Siegel Domain (2004) (28)
Reduced Order Modeling of Nonlinear Control Systems (2008) (28)
The Controlled Center Dynamics (2005) (28)
A hybrid computational approach to nonlinear estimation (1996) (27)
H∞ tracking control for a class of nonlinear systems (1999) (27)
Stochastic mechanics of reciprocal diffusions (1996) (27)
Normal Forms and Bifurcations of Discrete Time Nonlinear Control Systems (2001) (26)
Extended normal forms of quadratic systems (1990) (26)
Adaptive Horizon Model Predictive Control (2016) (25)
Normal forms for linear and nonlinear systems (1986) (23)
(Ad/f,g/), (ad/fg/) and locally (ad/f,g/) invariant and controllability distributions (1985) (22)
Design of controllers for MG3 compressor models with general characteristics using graph backstepping (1997) (22)
A Survey of Observers for Nonlinear Dynamical Systems (2013) (20)
The Local Solvability of a Hamilton--Jacobi--Bellman PDE around a Nonhyperbolic Critical Point (2000) (20)
Normal forms and bifurcations of control systems (2000) (20)
Improved patchy solution to the Hamilton-Jacobi-Bellman equations (2010) (19)
Improved Design of Nonlinear Model Predictive Controllers (2015) (19)
Optimal Model Matching Controllers for Linear and Nonlinear Systems (1992) (18)
The complexity of stochastic differential equations (1981) (18)
Nonlinear controller design via approximate normal forms (1990) (17)
(Ad f, G) Invariant and controllability distributions (1982) (16)
The controlled center dynamics of discrete time control bifurcations (2004) (14)
Conditioned invariant and locally conditioned invariant distributions (1986) (14)
Feedback Linearization of Nonlinear Systems (2018) (14)
Nonlinear Observer Design in the Siegel Domain Through Coordinate Changes 1 (2001) (14)
Eulerian and Lagrangian observability of point vortex flows (2008) (13)
Realizations of reciprocal processes (1988) (13)
Model Reduction for Linear and Nonlinear Control Systems (2006) (12)
The existence of optimal regulators (1998) (12)
Poincaré's linearization method applied to the design of nonlinear compensators (1991) (11)
LPV control of two dimensional wing flutter (1999) (10)
Control of center manifolds (2003) (9)
Normal Forms of Linearly Uncontrollable Nonlinear Control Systems with a Single Input (2001) (9)
A Lyapunov Theory of Nonlinear Observers (1999) (9)
Minimum Energy Estimation and Moving Horizon Estimation (2015) (9)
Practical Stabilization of Systems with a Fold Control Bifurcation (2003) (9)
Nonlinear Observer Design for Smooth Systems (2018) (8)
Analysis of higher order Moore-Greitzer compressor models (1997) (8)
Dynamics and control of entrained solutions in multi-mode Moore ± Greitzer compressor models (1998) (8)
A necessary and sufficient condition for the existence of a nonlinear observer with linearizable error dynamics (2001) (8)
Patchy solution of a Francis–Byrnes–Isidori partial differential equation (2011) (7)
A note on commutative bilinear optimal control (1978) (7)
The Intrinsic Geometry of Dynamic Observations (1986) (7)
The important state coordinates of a nonlinear system (2007) (6)
One-dimensional acausal linear systems (1979) (6)
Filtering boundary value discrete time linear systems (2013) (6)
The fractional representations of a class of nonlinear systems (1989) (6)
Tracking Control for a Class of Nonlinear Systems (1999) (5)
Controller and Observer design for cubic systems (1991) (5)
Observability of vortex flows (2008) (5)
Al’brekht’s Method in Infinite Dimensions (2020) (5)
(f,g) invariant distributions, connections and pontryagin classes (1981) (5)
The Observability of Cascade Connected Nonlinear Systems (1981) (5)
Generalized isoperimetric problem (1997) (5)
The Local Convergence of the Extended Kalman Filter (2008) (5)
Nonlinear control systems design, 1995 : a postprint volume from the 3rd IFAC Symposium, Tahoe City, California, USA, 25-28 June 1995 (1995) (5)
Minimum covariance, minimax and minimum energy linear estimators (1979) (5)
Degree Two Normal Forms of Control Systems and the Generalized Legendre Clebsch Condition (1991) (4)
Adaptive Horizon Model Predictive Control and Al’brekht’s Method (2019) (4)
Normal Forms of Nonlinear Control Systems (2018) (4)
Precursors of Bifurcations (2000) (4)
Adaptive Horizon Model Predictive Regulation (2018) (4)
Eliminating Common Mode Conducted Emissions in Three-Phase Four-Leg Inverters (2021) (4)
Normal Forms of Nonlinear Control Systems (2018) (4)
Series Solution of Discrete Time Stochastic Optimal Control Problems (2019) (4)
Dido's Problem with a Fixed Center of Mass (1995) (4)
Stochastic HJB Equations and Regular Singular Points∗ (2018) (4)
Feedback Control of Border Collision Bifurcations (2003) (3)
A generalization of the accessibility problem for control systems (1971) (3)
Observability of viscoelastic fluids (2010) (3)
The Controlled Center Systems (2006) (3)
Optimal Boundary Control of a Nonlinear Reaction Diffusion Equation via Completing the Square and Al’brekht’s Method (2020) (3)
High-order numerical solutions to Bellman's equation of optimal control (2012) (3)
Gaussian reciprocal diffusions and positive definite sturm-liouville operators (1995) (3)
Minimum Energy Estimation Applied to the Lorenz Attractor (2018) (2)
Least squares smoothing of nonlinear systems (2005) (2)
Rational Minimax Filtering (2011) (2)
Homogeneous flow field effect on the control of Maxwell materials (2008) (2)
Stabilization of Discrete Time Systems with a Fold or Period Doubling Control Bifurcation (2)
Boundary control of the beam equation by linear quadratic regulation (2021) (2)
STABILIZATION OF DISCRETE TIME SYSTEMS WITH A FOLD OR PERIOD DOUBLING CONTROL BIFURCATIONS (2005) (2)
The accessible sets of quadratic free nilpotent control systems (2011) (2)
CONTROL SINGULARITIES OF CODIMENSIONS ONE AND TWO (2006) (1)
Low Codimension Control Singularities (2009) (1)
Accessible sets of linear free nilpotent control systems (2010) (1)
Series Solution of Stochastic HJB Equations (2019) (1)
Continuous Linear Programming and Piecewise Bilinear Systems (1978) (1)
Linear time invariant minimax filtering (2011) (1)
Power series solutions to the time-varying dynamic programming equations (2011) (1)
Nonlinear worst case (H/sub /spl infin//) control (1994) (1)
Differential Geometric Methods in Nonlinear Control (2015) (1)
Boundary value linear systems (2019) (1)
ON THE CONVERGENCE AND BEHAVIOR OF THREE DIMENSIONAL NORMAL FORMS (2006) (1)
Filtering boundary value continuous time invariant linear systems (2012) (1)
Accessible Sets of Free Nilpotent Control Systems (2010) (1)
Observer Based Compensators for Nonlinear Systems (1989) (0)
Principal tangent data reduction (2009) (0)
ec 2 00 2 The Local Convergence of the Extended Kalman Filter (2003) (0)
Optimal Boundary Control of Reaction Diffusion Equations via Al'brekht's Method (2020) (0)
Bifurcations of Control Systems with Application to Flutter (2001) (0)
Linear Quadratic Gaussian Synthesis for a Heated/Cooled Rod Using Point Actuation and Point Sensing (2021) (0)
Observer design of linearly unobservable systems (2002) (0)
Bifurcations of Discrete Time Nonlinear Control Systems (2001) (0)
Numerical Solutions to the Bellman Equation of Optimal Control (2013) (0)
Principal Tangent Sytem Reduction (2010) (0)
Piecewise smooth solutions to the nonlinear output regulation PDE (2011) (0)
Acceptance Speech of Arthur J. Krener for the 2012 Richard E. Bellman Control Heritage Award [People in Control] (2012) (0)
Corrigendum to "Boundary Control of the Beam Equation by Linear Quadratic Regulation" [Syst. Control Lett. 153 (2021) 104949] (2022) (0)
Series Solution of Stochastic Dynamic Programming Equations (2020) (0)
Boundary Control of the Wave Equation via Linear Quadatic Regulation (2021) (0)
Problem 2.4 On the convergence of normal forms for analytic control systems (2009) (0)
Second Workshop on Computational Issues in Nonlinear Control (2011) (0)
O C ] 3 J ul 2 01 8 Stochastic HJB Equations and Regular Singular Points (2018) (0)
Optimizing Fuel Efficiency on an Islanded Microgrid under Varying Loads (2022) (0)
Computational Nonlinear Control. (1997) (0)
Discrete time invariant linear minimax filtering (2011) (0)
Memorial for Robert Hermann (2021) (0)
Theory of Chattering Control (M. I. Zelikin and V. F. Borisov) (1996) (0)
Robust Nonlinear Control of Stall and Flutter in Aeroengines (2000) (0)
The patchy Method for the Infinite Horizon Hamilton-Jacobi-Bellman Equation and its Accuracy (2012) (0)
Simplicial Nonlinear Principal Component Analysis (2012) (0)
Low codimension control singularities for single input nonlinear systems (2005) (0)
Nonlinear Control: System Design, 1995 (1995) (0)

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