#271,341

Most Influential Person

Control theorist

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.

- Nonlinear controllability and observability (2065)
- Linearization by output injection and nonlinear observers (1370)
- Nonlinear observers with linearizable error dynamics (1065)
- Nonlinear decoupling via feedback: A differential geometric approach (589)
- The High Order Maximal Principle and Its Application to Singular Extremals (397)
- On the Equivalence of Control Systems and the Linearization of Nonlinear Systems (310)
- Approximate linearization by state feedback and coordinate change (295)
- Extended quadratic controller normal form and dynamic state feedback linearization of nonlinear systems (191)
- A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems (179)
- Nonlinear Observer Design in the Siegel Domain (175)
- Measures of unobservability (159)
- Modeling and estimation of discrete-time Gaussian reciprocal processes (147)
- The Construction of Optimal Linear and Nonlinear Regulators (107)
- Bilinear and Nonlinear Realizations of Input-Output Maps (99)
- Locally Convergent Nonlinear Observers (89)
- Feedback linearization (87)
- The existence and uniqueness of volterra series for nonlinear systems (87)
- The Convergence of the Extended Kalman Filter (84)
- Higher order linear approximations to nonlinear control systems (83)
- The structure of small-time reachable sets in low dimensions (81)
- Observers for linearly unobservable nonlinear systems (75)
- Nonlinear discrete-time observer design with linearizable error dynamics (73)
- Partial and robust linearization by feedback (70)
- Control bifurcations (67)
- Kalman-bucy and minimax filtering (63)
- Backstepping design with local optimality matching (61)
- Gaussian reciprocal processes and self-adjoint stochastic differential equations of second order (60)
- $({\text{Ad}}_{f,g} )$, $({\text{ad}}_{f,g} )$ and Locally $({\text{ad}}_{f,g} )$ Invariant and Controllability Distributions (58)
- Locally (f,g) invariant distributions* (55)
- On feedback equivalence of nonlinear systems (55)
- The existence and uniqueness of volterra series for nonlinear systems (47)
- Reciprocal diffusions and stochastic differential equations of second order (47)
- Patchy Solutions of Hamilton-Jacobi-Bellman Partial Differential Equations (46)
- A causal realization theory, part I; linear deterministic systems (46)
- The High Order Maximal Principle (45)
- Nonlinear observer design for state and disturbance estimation (44)
- Dynamics and kinematics of reciprocal diffusions (43)
- Numerical Solutions to the Bellman Equation of Optimal Control (42)
- A Decomposition Theory for Differentiable Systems (39)
- Nonlinear observer design for state and disturbance estimation (39)
- Nonlinear zero distributions (37)
- The Convergence of the Minimum Energy Estimator (36)
- Necessary and sufficient conditions for nonlinear worst case (H∞) control and estimation (35)
- Approximate normal forms of nonlinear systems (30)
- Reciprocal diffusions in flat space (30)
- Solution of Hamilton Jacobi Bellman equations (30)
- Erratum: Nonlinear Observer Design in the Siegel Domain (29)
- Local approximation of control systems (29)
- Normal Forms and Bifurcations of Discrete Time Nonlinear Control Systems (27)
- A hybrid computational approach to nonlinear estimation (27)
- Extended normal forms of quadratic systems (27)
- Stochastic mechanics of reciprocal diffusions (26)
- The Controlled Center Dynamics (24)
- Reduced Order Modeling of Nonlinear Control Systems (23)
- H∞ tracking control for a class of nonlinear systems (23)
- Normal forms and bifurcations of control systems (22)
- Optimal Model Matching Controllers for Linear and Nonlinear Systems (21)
- Model Predictive Regulation (21)
- Normal forms for linear and nonlinear systems (21)
- Nonlinear Observer Design for Smooth Systems (21)
- Design of controllers for MG3 compressor models with general characteristics using graph backstepping (20)
- The Local Solvability of a Hamilton--Jacobi--Bellman PDE around a Nonhyperbolic Critical Point (20)
- Adaptive Horizon Model Predictive Control (20)
- Improved patchy solution to the Hamilton-Jacobi-Bellman equations (19)
- The complexity of stochastic differential equations (18)
- A Survey of Observers for Nonlinear Dynamical Systems (18)
- Nonlinear controller design via approximate normal forms (17)
- (Ad/f,g/), (ad/fg/) and locally (ad/f,g/) invariant and controllability distributions (15)
- (Ad f, G) Invariant and controllability distributions (15)
- Conditioned invariant and locally conditioned invariant distributions (15)
- Improved Design of Nonlinear Model Predictive Controllers (13)
- Realizations of reciprocal processes (13)
- Nonlinear Observer Design in the Siegel Domain Through Coordinate Changes 1 (12)
- Model Reduction for Linear and Nonlinear Control Systems (12)
- The existence of optimal regulators (11)
- Poincaré's linearization method applied to the design of nonlinear compensators (11)
- LPV control of two dimensional wing flutter (10)
- Feedback Linearization of Nonlinear Systems (10)
- The controlled center dynamics of discrete time control bifurcations (10)
- Normal Forms of Nonlinear Control Systems (10)
- Normal Forms of Nonlinear Control Systems (10)
- Minimum Energy Estimation and Moving Horizon Estimation (9)
- Normal Forms of Linearly Uncontrollable Nonlinear Control Systems with a Single Input (8)
- Analysis of higher order Moore-Greitzer compressor models (8)
- Dynamics and control of entrained solutions in multi-mode Moore ± Greitzer compressor models (8)
- A necessary and sufficient condition for the existence of a nonlinear observer with linearizable error dynamics (8)
- A Lyapunov Theory of Nonlinear Observers (8)
- Practical Stabilization of Systems with a Fold Control Bifurcation (8)
- Eulerian and Lagrangian Observability of Point Vortex Flows (7)
- Design of controllers for MG3 compressor models with general characteristics using graph backstepping (7)
- The Intrinsic Geometry of Dynamic Observations (7)
- Control of center manifolds (7)
- Filtering boundary value discrete time linear systems (7)
- The fractional representations of a class of nonlinear systems (7)
- One-dimensional acausal linear systems (7)
- A Decomposition Theory for Differentiable Systems (7)
- Eulerian and Lagrangian observability of point vortex flows (7)
- A note on commutative bilinear optimal control (7)
- Patchy Solution of a Francis-Byrnes-Isidori Partial Differential Equation (6)
- Tracking Control for a Class of Nonlinear Systems (5)
- Observation of a rigid body from measurement of a principal axis (5)
- Observability of vortex flows (5)
- The Local Convergence of the Extended Kalman Filter (5)
- Controller and Observer design for cubic systems (5)
- (f,g) invariant distributions, connections and pontryagin classes (5)
- Minimum covariance, minimax and minimum energy linear estimators (5)
- The Observability of Cascade Connected Nonlinear Systems (5)
- The important state coordinates of a nonlinear system (5)
- Degree Two Normal Forms of Control Systems and the Generalized Legendre Clebsch Condition (4)
- Dido's Problem with a Fixed Center of Mass (4)
- OPTIMAL MODEL MATCHING CONTROLLERS FOR LINEAR AND NONLINEAR SYSTEMS (4)
- Nonlinear control systems design, 1995 : a postprint volume from the 3rd IFAC Symposium, Tahoe City, California, USA, 25-28 June 1995 (4)
- The controlled center dynamics of discrete time control bifurcations (4)
- Precursors of Bifurcations (4)
- Generalized isoperimetric problem (4)
- Al’brekht’s Method in Infinite Dimensions (4)
- Series Solution of Discrete Time Stochastic Optimal Control Problems (3)
- Stochastic HJB Equations and Regular Singular Points∗ (3)
- Design of reduced-order observers of nonlinear systems through change of coordinates (3)
- STABILIZATION OF DISCRETE TIME SYSTEMS WITH A FOLD OR PERIOD DOUBLING CONTROL BIFURCATIONS (3)
- Adaptive Horizon Model Predictive Control and Al’brekht’s Method (3)
- Adaptive Horizon Model Predictive Regulation (3)
- A generalization of the accessibility problem for control systems (3)
- Gaussian reciprocal diffusions and positive definite sturm-liouville operators (3)
- Feedback Control of Border Collision Bifurcations (3)
- Optimal Boundary Control of a Nonlinear Reaction Diffusion Equation via Completing the Square and Al'brekht's Method (3)
- Minimum Energy Estimation Applied to the Lorenz Attractor (2)
- Rational Minimax Filtering (2)
- Homogeneous flow field effect on the control of Maxwell materials (2)
- Observability of viscoelastic fluids (2)
- Least squares smoothing of nonlinear systems (2)
- Boundary control of the beam equation by linear quadratic regulation (2)
- The accessible sets of quadratic free nilpotent control systems (2)
- High-order numerical solutions to Bellman's equation of optimal control (2)
- Robust Nonlinear Control of Stall and Flutter in Aeroengines (1)
- The Controlled Center Systems (1)
- Backstepping design with local optimality matching (1)
- Continuous Linear Programming and Piecewise Bilinear Systems (1)
- Nonlinear worst case (H/sub /spl infin//) control (1)
- Filtering boundary value continuous time invariant linear systems (1)
- Accessible sets of linear free nilpotent control systems (1)
- Accessible Sets of Free Nilpotent Control Systems (1)
- Power series solutions to the time-varying dynamic programming equations (1)
- Linear time invariant minimax filtering (1)
- Differential Geometric Methods in Nonlinear Control (1)
- The patchy Method for the Infinite Horizon Hamilton-Jacobi-Bellman Equation and its Accuracy (0)
- Problem 2.4 On the convergence of normal forms for analytic control systems (0)
- Computational Nonlinear Control. (0)
- Normal Forms of Nonlinear Control Systems (0)
- Optimal Boundary Control of Reaction Diffusion Equations via Al'brekht's Method (0)
- Principal tangent data reduction (0)
- Eliminating Common Mode Conducted Emissions in Three-Phase Four-Leg Inverters (0)
- Bifurcations of Discrete Time Nonlinear Control Systems (0)
- Nonlinear Control: System Design, 1995 (0)
- Series Solution of Stochastic Dynamic Programming Equations (0)
- ON THE CONVERGENCE AND BEHAVIOR OF THREE DIMENSIONAL NORMAL FORMS (0)
- Theory of Chattering Control (M. I. Zelikin and V. F. Borisov) (0)
- The Controlled Center Systems (0)
- Low Codimension Control Singularities (0)
- CONTROL SINGULARITIES OF CODIMENSIONS ONE AND TWO (0)
- Bifurcations of Control Systems with Application to Flutter (0)
- Simplicial Nonlinear Principal Component Analysis (0)
- Memorial for Robert Hermann (0)
- Linear Quadratic Gaussian Synthesis for a Heated/Cooled Rod Using Point Actuation and Point Sensing (0)
- Second Workshop on Computational Issues in Nonlinear Control (0)
- Adaptive Horizon Model Predictive Control and Al’brekht’s Method (0)
- Piecewise smooth solutions to the nonlinear output regulation PDE (0)
- Corrigendum to "Boundary Control of the Beam Equation by Linear Quadratic Regulation" [Syst. Control Lett. 153 (2021) 104949] (0)
- Observer design of linearly unobservable systems (0)
- O C ] 3 J ul 2 01 8 Stochastic HJB Equations and Regular Singular Points (0)
- Observer Based Compensators for Nonlinear Systems (0)
- Chapter 4 Normal Forms of Nonlinear Control Systems (0)
- Series Solution of Stochastic HJB Equations (0)
- Boundary value linear systems (0)
- Discrete time invariant linear minimax filtering (0)
- Nonlinear Observer Design for Smooth Systems (0)
- Principal Tangent Sytem Reduction (0)
- Boundary Control of the Wave Equation via Linear Quadatic Regulation (0)
- ec 2 00 2 The Local Convergence of the Extended Kalman Filter (0)
- Low codimension control singularities for single input nonlinear systems (0)
- Acceptance Speech of Arthur J. Krener for the 2012 Richard E. Bellman Control Heritage Award [People in Control] (0)

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