Nicola J. Ferrier, Roger W. Brockett, Nicola J. Ferrier, Roger W. Brockett
In this paper, we study the problem of determining a mathematical description of the surface defined by the shape of a membrane based on an image of it and present an algorithm for reconstructing the...
Dimitris Hristu, Nicola Ferrier, Roger W. Brockett
The limitations of rigid ngertips in the precise and algorithmic study of manipulation have been discussed in many works, some dating back more than a decade. Despite that fact, much of the work in...
Karl J. ˚aström, Stephen P. Boyd, Roger W. Brockett, John A. Burns, Munzer A. Dahleh
The field of control provides the principles and methods used to design engineering systems that maintain desirable performance by automatically adapting to changes in the environment. Over the last...
Future Directions in Control in an Information-Rich World (2007)
Stephen P. Boyd, Roger W. Brockett, Gunter Stein
provide a renewed vision of future challenges and opportunities in the field, along with recommendations to government agencies, universities, and research organizations to ensure continued
Anthony M. Bloch, Roger W. Brockett, Peter E. Crouch
In this paper we consider the geometry of Hamiltonian flows on the cotangent bundle of coadjoint orbits of compact Lie groups and on symmetric spaces. A key idea here is the use of the normal metric...
Karl J. ˚aström, Stephen P. Boyd, Roger W. Brockett, John A. Burns, Munzer A. Dahleh
The field of control provides the principles and methods used to design physical and information systems that maintain desirable performance by sensing and automatically adapting to changes in the...
Brockett,Roger W., Brody,Naomi M.
This report describes a program for simulating the motion of a rigid body containing a reaction wheel, damping media and torquing (magnetic or otherwise). The dynamical equations are simulated in...
A Scaling Theory for Linear Systems, (2005)
Brockett,Roger W., Krishnaprasad,P. S.
Prepared in cooperation with Case Western Reserve Univ., Cleveland, OH. Dept. of Systems and Computer Engineering. Sponsored in part by Grant NSG-2265.
Experimenting with Hybrid Control (2002)
Dimitrios Hristu-varsakelis, Roger W. Brockett
Recently developed experimental and numerical environments have helped breathe life into the various control theories found in textbooks and have thereby greatly changed the educational experience of...
Karl J. ˚aström, Stephen P. Boyd, Roger W. Brockett, John A. Burns, Munzer A. Dahleh
The field of control provides the principles and methods used to design physical and information systems that maintain desirable performance by sensing and automatically adapting to changes in the...
Experimenting with Hybrid Control (2000)
Brockett, Roger W., Hristu, Dimitris
There is a growing realization among educators andemployers that students of automatic control should be encouraged tothink of the subject in broader terms. The systems approach shouldembrace...
Experimenting with Hybrid Control (2000)
Brockett, Roger W., Hristu, Dimitrios
There is a growing realization among educators andemployers that students of automatic control should be encouraged tothink of the subject in broader terms. The systems approach shouldembrace...
Daniel Liberzon, Roger W. Brockett
Abstract—In this paper we describe a class of nonlinear feedback systems perturbed by white noise for which explicit formulas for steady-state probability densities can be found. We show that this...
Quantized feedback stabilization of linear systems (2000)
Roger W. Brockett, Daniel Liberzon
Abstract—This paper addresses feedback stabilization problems for linear time-invariant control systems with saturating quantized measurements. We propose a new control design methodology, which...
Daniel Liberzon, Roger W. Brockett
Abstract. We study spectral properties of certain families of linear second-order differential operators arising from linear stochastic differential equations. We construct a basis in the Hilbert...
Daniel Liberzon, Roger W. Brockett
Abstract—In this paper we describe a class of nonlinear feedback systems perturbed by white noise for which explicit formulas for steady-state probability densities can be found. We show that this...
Daniel Liberzon, Roger W. Brockett
Abstract. We describe a class of nonlinear feedback systems perturbed by white noise for which explicit formulas for steady-state probability densities can be found. We show that this class includes...
Dimitris Hristu, Nicola Ferrier, Roger W. Brockett
basic results on geometrically-defined tasks.
Reconstructing the Shape of a Deformable Membrane from Image Data (2000)
Nicola J. Ferrier, Roger W. Brockett
In this paper, we study the problem of determining a mathematical description of the surface defined by the shape of a membrane based on an image of it and present an algorithm for reconstructing the...
Daniel Liberzon, Roger W. Brockett
. In the first part of the paper we study the question of existence of steadystate probability distributions for systems perturbed by white noise. We describe a class of nonlinear feedback systems...
Hristu, Dimitris, Ferrier, Nicola J., Brockett, Roger W.
The limitations of rigid fingertips in the precise andalgorithmic study of manipulation have been discussed in many works,some dating back more than a decade. Despite that fact, much of thework in...
Hristu, Dimitrios, Ferrier, Nicola J., Brockett, Roger W.
The limitations of rigid fingertips in the precise andalgorithmic study of manipulation have been discussed in many works,some dating back more than a decade. Despite that fact, much of thework in...
Nonholonomic control based on approximate inversion (1999)
Kristi A. Morgansen, Roger W. Brockett
A variety of simple mechanical systems are known to exploit nonholonomic eects to achieve their goals. Theories describing the operation of such systems have been developed and applied, especially in...
Wing Shing Wong, Roger W. Brockett
Abstract — In this paper, we investigate a state estimation problem involving finite communication capacity constraints. Unlike classical estimation problems where the observation is a continuous...
Attitude Control Dynamics for LES-8/9. (1998)
Smith,Norval P., Brockett,Roger W.
HUSETTS INST OF TECH LEXINGTON LINCOLN LABAttitude Control Dynamics for LES-8/9.Technical note,Smith,Norval P. ;Brockett,Roger W. ;TN-1973-27F19628-73-C-0002AF-649LESDTR-73-232(*satellite attitude,...
Design of an Autonomous Stationkeeping Controller for LES-8/9. (1998)
Srivastava,Sushanta, Brockett,Roger W.
The report describes the design of the controller and digital filter for the LES-8/9 autonomous stationkeeping system. The design goals are to maintain a station with plus or minus 0.15 deg. accuracy...
Light Weight High Performance Manipulators. (1998)
In this work we explored the design of high strength low weight actuators based on vibratory kinematics. We developed a mathematical model for a linear motor based on standing wave vibrations and...
Modeling and Control Strategies for Autonomous Robotic Systems. (1998)
The work done under this contract resulted in the development of new models for studying frictional effects in the drive mechanism for robots and new methods of simulating these effects.
The Design and Control of Smart Structures (1998)
Brockett, Roger W., Krishnaprasad, P. S., Baillieul, John
This is the final report of the Boston University, Harvard University and University of Maryland MURI on Design and Control of Smart Structures. The report contains a summary of results obtained from...
Hristu, Dimitris, Ferrier, Nicola J., Brockett, Roger W.
The limitations of rigid fingertips in the precise and algorithmic study of manipulation have been discussed in many works, some dating back more than a decade. Despite that fact, much of the work in...
Quantized feedback systems perturbed by white noise (1998)
Roger W. Brockett, Daniel Liberzon
This paper is concerned with a class of nonlinear feedback systems perturbed by white noise, for which the nonlinearity takes the form of a piecewise constant function of a certain type. We obtain...
Roger W. Brockett, Daniel Liberzon
We study the question of existence of steady-state probability distributions for systems perturbed by white noise. We describe a class of nonlinear feedback systems for which an explicit formula for...
Double Bracket Equations and Geodesic Flows on Symmetric Spaces (1997)
Brockett, Roger W., Crouch, Peter E., Bloch, Anthony M.
In this paper we consider the geometry of Hamiltonian flows on the cotangent bundle of coadjoint orbits of compact Lie groups and on symmetric spaces. A key idea here is the use of the normal metric...
Spectral equations for the long wave limit of the Toda lattice equations (1990)
Bloch, Anthony M., Brockett, Roger W., Kodama, Y., Ratiu, Tudor S.
The invertibility of dynamic systems with application to control /--by Roger W. Brockett. (1964)
Thesis--Case Institute of Technology.
On the stability of nonlinear feedback systems (1964)
Roger W. Brockett, Daniel Liberzon
On explicit steady-state solutions of Fokker-Planck equations
Quantized Feedback Stabilization of Linear Systems
Roger W. Brockett, Daniel Liberzon
We address feedback stabilization problems for linear time-invariant control systems with saturating quantized measurements. Problems of this kind arise, for example, when the output measurements to...
Daniel Liberzon, Roger W. Brockett
. We study spectral properties of certain families of linear second-order differential operators arising from linear stochastic differential equations. We construct a basis in the Hilbert space of...