Roger W. Brockett

Roger W. Brockett's AcademicInfluence.com Rankings

Roger W. Brockett

Mathematics

#1574

World Rank

#2559

Historical Rank

#644

USA Rank

Control Theory

World Rank

Historical Rank

USA Rank

Applied Mathematics

#35

World Rank

#40

Historical Rank

#21

USA Rank

Measure Theory

#339

World Rank

#508

Historical Rank

#147

USA Rank

mathematics Degrees

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Mathematics

Roger W. Brockett'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 Roger W. Brockett Influential?

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According to Wikipedia, Roger Ware Brockett was an American control theorist and the An Wang Professor of Computer Science and Electrical Engineering at Harvard University, who founded the Harvard Robotics Laboratory in 1983.

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Roger W. Brockett'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

Asymptotic stability and feedback stabilization (1982) (2987)
Quantized feedback stabilization of linear systems (2000) (1529)
Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback (1999) (916)
Systems with finite communication bandwidth constraints. I. State estimation problems (1997) (560)
Hybrid Models for Motion Control Systems (1993) (465)
System Theory on Group Manifolds and Coset Spaces (1972) (456)
Control Theory and Singular Riemannian Geometry (1982) (447)
Feedback Invariants for Nonlinear Systems (1978) (412)
Future directions in control in an information-rich world (2003) (399)
Time optimal control in spin systems (2000) (396)
Volterra series and geometric control theory (1975) (360)
Robotic manipulators and the product of exponentials formula (1984) (333)
Dynamical systems that sort lists, diagonalize matrices and solve linear programming problems (1988) (286)
Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems (1991) (282)
The reproducibility of multivariable systems (1964) (252)
Multivariable Nyquist criteria, root loci, and pole placement: A geometric viewpoint (1981) (243)
Lie Theory and Control Systems Defined on Spheres (1973) (234)
Lie Algebras and Lie Groups in Control Theory (1973) (231)
Reservoir observers: Model-free inference of unmeasured variables in chaotic systems. (2017) (223)
Nonlinear systems and differential geometry (1976) (218)
Stabilization of motor networks (1995) (215)
Sub-Riemannian geometry and time optimal control of three spin systems: Quantum gates and coherence transfer (2001) (207)
Programming and control of kinematically redundant manipulators (1984) (200)
Poles, zeros, and feedback: State space interpretation (1965) (184)
Finite Dimensional Linear Systems (2015) (183)
Kinematic Dexterity of Robotic Mechanisms (1994) (180)
Optimal Structure from Motion: Local Ambiguities and Global Estimates (1998) (152)
Non-holonomic Kinematics and the Role of Elliptic Functions in Constructive Controllability (1993) (152)
Asymptotic stability and feed back stabilization (1983) (145)
Least squares matching problems (1989) (139)
On the computer control of movement (1988) (136)
Evolution equations for continuous-scale morphology (1992) (132)
Completely integrable gradient flows (1992) (129)
Evolution equations for continuous-scale morphological filtering (1994) (127)
Discretized partial differential equations: Examples of control systems defined on modules (1974) (122)
Nonlinear Systems and Nonlinear Estimation Theory (1981) (118)
The status of stability theory for deterministic systems (1966) (99)
Reconstructing the Shape of a Deformable Membrane from Image Data (2000) (98)
Chaotic motion in nonlinear feedback systems (1980) (88)
On the algebraic structure of bilinear systems. (1972) (86)
On the rectification of vibratory motion (1989) (82)
Feedback can reduce the specification complexity of motor programs (2001) (77)
Some geometric questions in the theory of linear systems (1975) (74)
Notes on the Control of the Liouville Equation (2012) (72)
The performance of a deformable-membrane tactile sensor: basic results on geometrically-defined tasks (2000) (70)
Frequency-domain instability criteria for time-varying and nonlinear systems (1967) (70)
Smooth dynamical systems which realize arithmetical and logical operations (1989) (70)
A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map (1990) (70)
Geometric Methods in System Theory (1973) (65)
New Issues in the Mathematics of Control (2001) (64)
$H^2 $-Functions and Infinite-Dimensional Realization Theory (1975) (64)
Finite Controllability of Infinite-Dimensional Quantum Systems (2006) (61)
On conditions leading to chaos in feedback systems (1982) (60)
Frequency domain stability criteria--Part II (1965) (58)
Some new rearrangement inequalities having application in stability analysis (1968) (58)
On the Stochastic Control of Quantum Ensembles (2000) (57)
Electrical networks containing controlled switches (1974) (55)
On the control of a flock by a leader (2010) (54)
Stochastic control and the second law of thermodynamics (1978) (53)
The early days of geometric nonlinear control (2014) (53)
A stabilization problem (1999) (51)
Pattern generation and the control of nonlinear systems (2003) (50)
Double Bracket Equations and Geodesic Flows on Symmetric Spaces (1997) (47)
State-space models for infinite-dimensional systems (1974) (45)
Nonlinear feedback systems perturbed by noise: steady-state probability distributions and optimal control (2000) (45)
On the Reachable Set for Bilinear Systems (1975) (39)
LIE ALGEBRAS AND LINEAR DIFFERENTIAL EQUATIONS (1972) (38)
Differential geometric control theory : proceedings of the conference held at Michigan Technological University, June 28-July 2, 1982 (1983) (38)
Finite group homomorphic sequential system (1972) (37)
Robotic hands with rheological surfaces (1985) (36)
Stochastic analysis for fluid queueing systems (1999) (36)
On the Stability of Nonlinear Feedback Systems (1964) (36)
Evolution Equations (2019) (36)
Erratum: Sub-Riemannian geometry and time optimal control of three spin systems: Quantum gates and coherence transfer [Phys. Rev. A 65, 032301 (2002)] (2003) (35)
A geometrical formulation of the dynamical equations describing kinematic chains (1993) (34)
Algorithm for cellular reprogramming (2017) (33)
Notes on Stochastic Processes on Manifolds (1997) (33)
On the Number of Multiplications Required for Matrix Multiplication (1976) (32)
H2-functions and infinite dimensional realization theory (1972) (31)
Language driven hybrid systems (1994) (30)
The geometry of the partial realization problem (1978) (30)
Classification and equivalence in estimation theory (1979) (30)
The theory of linear systems (1972) (29)
Characteristic Phenomena and Model Problems in Nonlinear Control (1996) (28)
Optimal control of observable continuous time Markov chains (2008) (28)
A scaling theory for linear systems (1980) (28)
Spectral Analysis of Fokker--Planck and Related Operators Arising From Linear Stochastic Differential Equations (2000) (27)
Toda flows, inverse spectral transform and realization theory (1991) (26)
The Rate of Descent for Degenerate Gradient Flows (2000) (26)
Tangent bundles of homogeneous spaces are homogeneous spaces (1972) (26)
Dynamical Systems and Their Associated Automata (1994) (25)
Nonholonomic control based on approximate inversion (1999) (24)
Parametrically stochastic linear differential equations (1976) (24)
The Geometry of the Set of Controllable Linear Systems (1977) (23)
Path integrals, Liapunov functions, and quadratic minimization. (1966) (22)
Trajectory estimation from place cell data (2001) (22)
A light weight rotary double pendulum: maximizing the domain of attraction (2003) (21)
CONVERGENCE OF VOLTERRA SERIES ON INFINITE INTERVALS AND BILINEAR APPROXIMATIONS (1977) (21)
Explicitly solvable control problems with nonholonomic constraints (1999) (20)
A Contour-Based Recovery of Image Flow: Iterative Transformation Method (1991) (20)
Optimization theory and the converse of the circle criterion. (1965) (19)
Dynamical Systems that Learn Subspaces (1991) (18)
Foundations of mechanics, 2nd edition (1981) (18)
Normal Symmetric Dynamical Systems (1976) (18)
Information Dynamics of Photorefractive Two-Beam Coupling (1999) (17)
The double bracket equation as the solution of a variational problem (1994) (17)
Dynamics of Kinematic Chains (1996) (17)
The controllability of infinite quantum systems (2003) (17)
Minimizing attention in a motion control context (2003) (17)
A Multiport State-Space Darlington Synthesis (1967) (16)
Linear feedback systems and the groups of Galois and Lie (1983) (16)
Centralized and decentralized formation control with controllable interaction laws (2014) (15)
Finite and infinite dimensional bilinear realizations (1976) (15)
State estimation with finite communication bandwidth constraints (1995) (15)
On the synthesis of compliant mechanisms (1991) (15)
Average value criteria for stochastic stability (1972) (14)
Frequency domain stability criteria. II. (1965) (14)
Reduced Complexity Control Systems (2008) (14)
Estimating the shape of a moving contour (1994) (14)
The frequency domain solution of regulator problems (1965) (13)
Functional Expansions and Higher Order Necessary Conditions in Optimal Control (1976) (13)
An addendum to volterra series and geometric control theory (1976) (12)
Experimenting with hybrid control (2002) (12)
On the asymptotic properties of solutions of differential equations with multiple equilibria (1982) (12)
The Lie groups of simple feedback systems (1976) (12)
Gramians, generalized inverses, and the least squares approximation of optical flow (1987) (12)
A Gradient Flow for the Assignment Problem (1991) (12)
Dynamic feedback stabilization of nonholonomic systems (1999) (12)
Adaptive Filtering and Control (1989) (12)
Object pattern recognition below clutter in images (2003) (11)
On the algebraic geometry of the output feedback pole placement map (1979) (11)
Kinematically redundant robot manipulators (1987) (10)
Short-time asymptotics of heat kernels for a class of hypoelliptic operators (2009) (10)
A contour-based recovery of image flow: iterative method (1989) (10)
On explicit steady-state solutions of Fokker-Planck equations for a class of nonlinear feedback systems (1998) (10)
Pulse Driven Dynamical Systems (1992) (9)
Thermodynamics with time: Exergy and passivity (2017) (9)
Harmonic maps and the optimal design of mechanisms (1989) (9)
Structural properties of the equilibrium solutions of riccati equations (1970) (9)
On the geometry of saddle point algorithms (1992) (9)
Estimation, information and neural signals (1998) (8)
Analog and Digital Computing (1992) (8)
Lie theory, functional expansions, and necessary conditions in singular optimal control (1978) (8)
Variational methods for stability of periodic equations. (1967) (8)
Bilinear Control Processes (Ronald R. Mohler) (1976) (8)
Synthesis of linear multivariable systems (1962) (8)
Differential geometric methods in system theory (1971) (8)
Optimal regulation and reinforcement learning for the nonholonomic integrator (2000) (8)
The Controllability of Infinite Quantum Systems and Closed Subspace Criteria (2006) (8)
Chaos and randomness in dynamical systems (1983) (8)
On the control of vibratory actuators (1987) (7)
On improving the circle criterion (1977) (7)
A Theorem on Positive Real Functions (1964) (7)
The global description of locally linear systems (1982) (7)
Stationary covariance generation with finite state Markov processes (1977) (7)
Quantized feedback systems perturbed by white noise (1998) (7)
Some structural properties of automata defined on groups (1974) (6)
THE INVERTIBILITY OF DYNAMIC SYSTEMS WITH APPLICATION TO CONTROL (1963) (6)
Oscillatory descent for function minimization (1997) (6)
Optimal input design for NMR system identification (2001) (6)
Geometric methods in system theory : proceedings of the NATO Advanced Study Institute held at London, England, August 27-September 7, 1973 (1973) (5)
Singular values and least squares matching (1997) (5)
Gramians, generalized inverses, and the least-squares approximation of optical flow (1990) (5)
Stochastic differential equations for power law behaviors (2012) (5)
Asymptotically optimal estimation (1981) (4)
Synthesis of formal and fuzzy logic to detect patterns in clutter (2004) (4)
A Contour-Based Recovery Of Optical Flows By Iterative Improvement (1986) (4)
A Rational Flow for the Toda Lattice Equations (1997) (4)
The wider influence of the work of V. A. Yakubovich (2007) (4)
An estimation theoretic basis for the design of sorting and classification networks (1992) (4)
Spectral equations for the long wave limit of the Toda lattice equations (1990) (4)
Swarm Aggregation in Reciprocal Multi-Agent Systems with Fading Interaction Laws (2014) (4)
Input-out properties of the Toda lattice (2004) (4)
Controllability with quadratic drift (2013) (4)
Hybrid Systems in Classical Mechanics (1996) (4)
Control of partial differential equations : Cetraro, Italy 2010 (2012) (3)
Input-output Hamiltonian Systems and Neural Signal Processing (2006) (3)
Pulses, periods, and cohomological terms in functional expansions (1995) (3)
Control problems in a quantum mechanics (2008) (3)
Application of system theory to power processing problems (1974) (3)
Subriemannian geodesics and optimal control of spin systems (2002) (3)
Differential equations and matrix inequalities on isospectral families (1994) (3)
Mathematical Questions in Robotics (1990) (2)
Optimal Linear Systems with Polynomial Performance Measures (1977) (2)
On the radon transform of sampled functions (2003) (2)
Flows suspending iterative algorithms (1995) (2)
Asymptotic properties of Markov decision processes (2009) (2)
Homotopic Classification of Minimal Periodic Realizations of Stationary Weighting Patterns (1972) (2)
THE CONTROL OF LINEAR MULTIVARIABLE SYSTEMS (1962) (2)
1971 Joint Automatic Control Conference (JACC) (1970) (2)
Nonholonomic regulators (2012) (2)
The synthesis of dynamical systems (1972) (2)
DMDL for choreography (2005) (2)
Using feedback to improve system identification (2006) (2)
Review of "Optimization by vector space methods" (1970) (1)
Stochastic Bilinear Models (1977) (1)
Optimal Open Loop Markov Decision Rules May Require Parametric Excitation (2010) (1)
Variational Problems Associated with Kinematic Chains (2000) (1)
Modeling the transient behavior of stochastic gradient algorithms (2011) (1)
A low cost inchworm actuator for very high force (2001) (1)
Correction to "Poles, zeros, and feedback: State space interpretation" (1965) (1)
Stationary covariance realization with a specified distribution of amplitudes (1998) (1)
On stochastic stabilization (1989) (1)
Inverse kinematic programming for redundant mechanisms (1986) (1)
Optimal compensation of nonlinearities in the presence of noise (1991) (1)
Stability and control of grasping (1986) (1)
Nonholonomic Trajectory Optimization and the Existence of Twisted Matrix Logarithms (2008) (1)
Absolute stability of regulator systems and Stability of nonlinear control systems-solomon (1966) (1)
ORGANIZATION OF SYSTEM CONTROL (1966) (1)
Algebraic methods in system theory (1975) (1)
Related problems in approximation theory and optimal control. (1968) (1)
NUMERICAL SIMULATION OF THE ATTITUDE EQUATIONS OF A SATELLITE CONTAINING DAMPING ROTORS AND A REACTION WHEEL (1968) (1)
On explicit steady-state solutions for a class of nonlinear (1998) (1)
Retrospective estimation of 3 D respiratory motion vectors in coronary MRI (2009) (0)
WA3-12:15 TEE ERalDIC TEEORY OF CBAOTIC FEEDBACK SYSTEMS (1980) (0)
Techniques for Modeling Stochastics Dynamical Systems. (1983) (0)
The Symmetric Rouche's Form for Robustness (1992) (0)
Rational Functions and Flows with Periodic Solutions (2010) (0)
Attitude Control Dynamics for LES-8/9. (1973) (0)
The Design and Control of Smart Structures (2004) (0)
Mathematical structure of network synthesis (1971) (0)
Sub-Riemannian Optimization (2015) (0)
3: LEAST SQUARES THEORY (2015) (0)
Feedback Controlled Computational Structures for Vision (2006) (0)
Geometric Problems in Adaptive Control. (1986) (0)
Finite state homomorphic sequential systems (1971) (0)
Index to Volume 131 (2009) (0)
Errata: On the Number of Multiplications Required for Matrix Multiplication (1978) (0)
Markov Models for Coherent Signals: Extrapolation in the Frequency Domain (2010) (0)
Geometric stuctures associated with lossless networks (1995) (0)
Magnetic torquing of spinning satellites (1966) (0)
1: LINEAR DIFFERENTIAL EQUATIONS (2015) (0)
Rudy Kalman, As I Knew Him [Historical Perspectives] (2017) (0)
Remarks on the stability of nonlinear feedback systems (1965) (0)
Modeling and Estimation Theory for Stochastic Dynamical Systems. (1986) (0)
John Baillieul and the Development of Modern Control Theory (2010) (0)
linear Passive Networks: Functional Theory (1976) (0)
Haphazard Remarks on What I Recall about the Field of Control in the 1960's (2007) (0)
Theory and Applications of Neural Networks (1992) (0)
Workshop: Future Directions in Systems and Control Theory, Friday, June 25. Viewgraphs - Volume 4 (1999) (0)
Ju n 20 00 Time Optimal Control in Spin Systems (2008) (0)
Stability of Periodic Linear Systems and the Geometry of Lie Groups (1976) (0)
Nonlinear systems and nonlinear estimation theory : (preprint) (1981) (0)
IFAC Newsletter (2016) (0)
Control of Vibrational Systems (1994) (0)
On the design of quantized control using randomization (2015) (0)
NOTES ON DECISION, CONTROL, AND DYNAMICAL SYSTEMS. (1969) (0)
Light Weight High Performance Manipulators (1988) (0)
Methods Genome State Representation and Dimension Reduction : x (2017) (0)
Algebraic geometric methods for the stabilizability and reliability of multivariable and of multimode systems (1983) (0)
ON THE PROLONGATIONS OF HOMOGENEOUS VECTOR (2016) (0)
Some remarks on applied mathematics (1997) (0)
A Rational Flow for the Periodic Toda Lattice EquationsRoger BrockettDivision of Engineering and Applied SciencesHarvard UniversityDedicated to my long-time friend and colleague (2007) (0)
Distortion and Locking Range of a Pulse Synchronized Linear Lc(t) Circuit (1969) (0)
2: LINEAR SYSTEMS (2015) (0)
Modeling and Control Strategies for Autonomous Robotic Systems (1991) (0)
Design of an Autonomous Stationkeeping Controller for LES-8/9. (1974) (0)
Intelligent Machine? (2022) (0)
Communicating Networked Control Systems (2007) (0)
Quantum SubRiemannian dynamics (2005) (0)
Concrete Solo Classification Bloomer Bounds for Diverse Operating Themes (2014) (0)
Optimal control of the Liouville equation (2010) (0)
The ergodic theory of chaotic feedback systems (1980) (0)

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