Brockett, Roger W.
Overview
Works:  82 works in 155 publications in 2 languages and 1,301 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Author of introduction 
Classifications:  QA402.3, 517 
Publication Timeline
.
Most widely held works by
Roger W Brockett
Finite dimensional linear systems by
Roger W Brockett(
Book
)
21 editions published between 1969 and 2015 in English and Undetermined and held by 465 WorldCat member libraries worldwide
Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics; develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas; and contains a number of nontrivial examples and many exercises
21 editions published between 1969 and 2015 in English and Undetermined and held by 465 WorldCat member libraries worldwide
Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics; develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas; and contains a number of nontrivial examples and many exercises
Differential geometric control theory : proceedings of the conference held at Michigan Technological University, June 28July
2, 1982(
Book
)
20 editions published between 1982 and 1983 in English and Undetermined and held by 326 WorldCat member libraries worldwide
20 editions published between 1982 and 1983 in English and Undetermined and held by 326 WorldCat member libraries worldwide
Geometric methods in system theory; proceedings of the NATO Advanced Study Institute held at London, England, August 27September
7, 1973 by
David Q Mayne(
Book
)
15 editions published in 1973 in 3 languages and held by 236 WorldCat member libraries worldwide
Geometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints. Examples are numerous; in a switched, lossless electrical network energy is conserved and the state evolves on an ellipsoid surface defined by x'Qx equals a constant; in the control of finite state, continuous time, Markov processes the state evolves on the set x'x = 1, xi ~ O. The control of rigid body motions and trajectory control leads to problems of this type. There has been under way now for some time an effort to build up enough control theory to enable one to treat these problems in a more or less routine way. It is important to emphasise that the ordinary vector spacelinear theory often gives the wrong insight and thus should not be relied upon
15 editions published in 1973 in 3 languages and held by 236 WorldCat member libraries worldwide
Geometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints. Examples are numerous; in a switched, lossless electrical network energy is conserved and the state evolves on an ellipsoid surface defined by x'Qx equals a constant; in the control of finite state, continuous time, Markov processes the state evolves on the set x'x = 1, xi ~ O. The control of rigid body motions and trajectory control leads to problems of this type. There has been under way now for some time an effort to build up enough control theory to enable one to treat these problems in a more or less routine way. It is important to emphasise that the ordinary vector spacelinear theory often gives the wrong insight and thus should not be relied upon
Linear algebra and its applications. Special volume : linear systems and control by
Richard A Brualdi(
Book
)
2 editions published in 1983 in English and held by 18 WorldCat member libraries worldwide
2 editions published in 1983 in English and held by 18 WorldCat member libraries worldwide
Optimization and dynamical systems by
Uwe Helmke(
Book
)
5 editions published between 1994 and 1996 in English and held by 17 WorldCat member libraries worldwide
This study addresses both classical and previously unsolved optimization tasks in linear algebra, linear systems theory, control theory and signal processing. Exploiting developments in Computation such as Parallel Computing and Neural Networks, it gives a dynamical systems approach for tackling a wide class of constrained optimization tasks. Optimization and Dynamical Systems will be of interest to engineers and mathematicians. Engineers will learn the mathematics and the technical approach necessary to solve a wide class of constrained optimization tasks. Mathematicians will see how techniques from global analysis and differential geometry can be developed to achieve useful construction procedures for optimization on manifolds
5 editions published between 1994 and 1996 in English and held by 17 WorldCat member libraries worldwide
This study addresses both classical and previously unsolved optimization tasks in linear algebra, linear systems theory, control theory and signal processing. Exploiting developments in Computation such as Parallel Computing and Neural Networks, it gives a dynamical systems approach for tackling a wide class of constrained optimization tasks. Optimization and Dynamical Systems will be of interest to engineers and mathematicians. Engineers will learn the mathematics and the technical approach necessary to solve a wide class of constrained optimization tasks. Mathematicians will see how techniques from global analysis and differential geometry can be developed to achieve useful construction procedures for optimization on manifolds
2002 MTNS problem book : open problems on the mathematical theory of systems : August 1216, 2002 by International Symposium on the Mathematical Theory of Networks and Systems(
Book
)
1 edition published in 2002 in English and held by 15 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 15 WorldCat member libraries worldwide
Nonlinear systems and nonlinear estimation theory by
Roger W Brockett(
Book
)
5 editions published in 1981 in English and held by 6 WorldCat member libraries worldwide
5 editions published in 1981 in English and held by 6 WorldCat member libraries worldwide
Organization of system control by
Roger W Brockett(
Book
)
2 editions published in 1966 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1966 in English and held by 3 WorldCat member libraries worldwide
Cycles that effect change by
Roger W Brockett(
Book
)
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
Numerical simulation of the attitude equations of a satellite containing damping rotors and a reaction wheel by
Roger W Brockett(
Book
)
2 editions published in 1968 in English and held by 2 WorldCat member libraries worldwide
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 terms of the angular velocities in bodyfixed coordinates and the kinematic equations are simulated in terms of direction cosines. The entire system of equations has been programmed using a fourth order predictorcorrector method with automatic step size adjustment and a fourth order RungeKutta starting routine. The ratio of computer time to real time is between 1 to 10 and 2 to 1 for LES5type satellites
2 editions published in 1968 in English and held by 2 WorldCat member libraries worldwide
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 terms of the angular velocities in bodyfixed coordinates and the kinematic equations are simulated in terms of direction cosines. The entire system of equations has been programmed using a fourth order predictorcorrector method with automatic step size adjustment and a fourth order RungeKutta starting routine. The ratio of computer time to real time is between 1 to 10 and 2 to 1 for LES5type satellites
Control theory and singular riemannian geometry by
Roger W Brockett(
)
in English and held by 2 WorldCat member libraries worldwide
in English and held by 2 WorldCat member libraries worldwide
Language driven hybrid systems by
Roger W Brockett(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Stabilization of motor networks by
Roger W Brockett(
Book
)
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
Attitude Control Dynamics for LES8/9 by N. P Smith(
Book
)
2 editions published in 1973 in English and held by 2 WorldCat member libraries worldwide
HUSETTS INST OF TECH LEXINGTON LINCOLN LABAttitude Control Dynamics for LES8/9. Technical note, Smith, Norval P. ;Brockett, Roger W. ;TN197327F1962873C0002AF649LESDTR73232(*satellite attitude, *attitude control systems), equations of motion, mathematical modelsThe equations of motion for a rigid body with a gimbaled momentum wheel and gyro are given here together with their derivation. The authors also give the linearized version of these equations together with the equations for the attitude control system. The linearized system is expressed in terms of transfer functions relating thruster torque, gimbal motor and wheel motor inputs to small angle responses. (Author)
2 editions published in 1973 in English and held by 2 WorldCat member libraries worldwide
HUSETTS INST OF TECH LEXINGTON LINCOLN LABAttitude Control Dynamics for LES8/9. Technical note, Smith, Norval P. ;Brockett, Roger W. ;TN197327F1962873C0002AF649LESDTR73232(*satellite attitude, *attitude control systems), equations of motion, mathematical modelsThe equations of motion for a rigid body with a gimbaled momentum wheel and gyro are given here together with their derivation. The authors also give the linearized version of these equations together with the equations for the attitude control system. The linearized system is expressed in terms of transfer functions relating thruster torque, gimbal motor and wheel motor inputs to small angle responses. (Author)
Evolution equations for continuousscale morphological filtering by
Roger W Brockett(
Book
)
2 editions published between 1993 and 1994 in Undetermined and English and held by 2 WorldCat member libraries worldwide
2 editions published between 1993 and 1994 in Undetermined and English and held by 2 WorldCat member libraries worldwide
An estimation theoretic basis for the design of sorting and classification networks by
Roger W Brockett(
Book
)
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
Toda flows, inverse spectral transform and realization theory by
Roger W Brockett(
Book
)
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
Analog and digital computing by
Roger W Brockett(
Book
)
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Millman, Richard S. 1945 Editor
 Sussmann, Hector J. 1946 Editor
 Michigan Technological University
 Mayne, David Q. 1930 Author Editor
 North Atlantic Treaty Organization Scientific Affairs Division
 Baillieul, J. (John) Author Editor
 American Mathematical Society
 Martin, D. P. Editor
 Center for Intelligent Control Systems (U.S.)
 Sastry, S. Shankar
Useful Links
Associated Subjects
Actuators Artificial satellitesAttitude control systems Artificial satellitesOrbits Automatic control Awards Canada College teachers Control theory Differentiable dynamical systems Digital communications Digital computer simulation Educational assistance Engineering Engineering mathematics Exterior differential systems Geometry, Algebraic Geometry, Differential Linear systems Mathematical optimization Mathematics Research Rotational motion (Rigid dynamics) Scientists Signal processing Stability System analysis Telecommunication Timesharing computer systems TransportationPassenger traffic TransportationResearch United States Universities and collegesFaculty
Alternative Names
Brockett, R.
Brockett, R. W.
Brockett, R. W. 1938
Brockett, R. W. (Roger W.)
Brockett, R. W. (Roger W.), 1938
Brockett, Roger W. 1938
Roger W. Brockett American control theorist
Roger W. Brockett Amerikaans informaticus
Ware Brockett, Roger 1938
Languages
Covers