Roger Brockett

A Rational Flow for the Periodic Toda Lattice Equations (2007)

Roger Brockett

We show how a certain class of Hamiltonian systems give rise to differential equations on spaces of matrices whose elements are rational functions. In particular, we reinterpret the results of Kac...

y (2007)

Alessandro Chiuso, Roger Brockett, Stefano Soatto

\Structure From Motion " (SFM) refers to the problem of estimating spatial properties of a threedimensional scene from the motion of its projection onto a two-dimensional surface, such as...

MTNS Problem Book (2007)

Open Problems On, Vincent D. Blondel, Alexander Megretski, Roger Brockett, Jean-michel Coron, Miroslav Krstic, ...

this paper we consider the well-known Schur problem the solution of which satisfy in addition the extremal condition (z)w(z) min ; jzj < 1 (58.1) where w(z) and min are mxm matrices and min > 0...

Object Pattern Recognition Below Clutter in Images (2006)

Linnehan, Robert, Schindler, John, Perlovsky, Leonid, Mutz, Chris, Brockett, Roger

We are developing a technique for recognizing patterns below clutter based on modeling field theory. The presentation briefly summarizes the difficulties related to the combinatorial complexity of...

Tactile Sensing and Control in Humans and Robotic/Teleoperated Systems (2006)

Cutkosky, Mark R., Kovacs, Gregory T., Howe, Robert D., Brockett, Roger, Johansson, Roland

Over the last several years, a number of sophisticated robot hands have been developed for laboratory use. However, while such hands approximate the mechanical complexity of human hands, their...

Sub-Riemannian Geometry and Time Optimal Control of Three Spin Systems: Quantum Gates and Coherence Transfer (2001)

Khaneja, Navin, Glaser, Steffen J., Brockett, Roger

Many coherence transfer experiments in Nuclear Magnetic Resonance Spectroscopy, involving network of coupled spins, use temporary spin-decoupling to produce desired effective Hamiltonians. In this...

New Issues in the Mathematics of Control (2001)

Roger Brockett

This is an essay on mathematical control theory. We begin with a detailed, but fast-paced, review of some past work in control emphasizing an operator point of view. After a discussion of recent...

Time Optimal Control in Spin Systems (2000)

Khaneja, Navin, Brockett, Roger, Glaser, Steffen

In this paper, we study the design of pulse sequences for NMR spectroscopy as a problem of time optimal control of the unitary propagator. Radio frequency pulses are used in coherent spectroscopy to...

Optimal Structure From Motion: Local Ambiguities and Global Estimates (2000)

Alessandro Chiuso, Roger Brockett, Stefano Soatto

"Structure From Motion" (SFM) refers to the problem of estimating spatial properties of a three-dimensional scene from the motion of its projection onto a two-dimensional surface, such as...

Editors (1999)

Vincent D. Blondel, Alexander Megretski, Roger Brockett, Jean-michel Coron, Miroslav Krstic, Anders Rantzer, ...

Some of the problems appearing in this booklet will appear in a more extensive forthcoming book on open problems in systems theory. For more information about this future book, please consult the...

Theory and Applications Of Neural Networks. (1998)

Brockett, Roger

One of the main ideas underlying the interest in neural computing is that it may be possible to develop new computational paradigms that will make important aspects of programing both simple and more...

Workshop: Future Directions in Systems and Control Theory, Friday, June 25. Viewgraphs - Volume 4 (1998)

Brockett, Roger

This report contains several reports concerning future directions in systems and control theory.

Optimal Structure From Motion: Local Ambiguities and Global Estimates (1998)

Stefano Soatto, Roger Brockett

"Structure From Motion" (SFM) refers to the problem of estimating three-dimensional information about the environment from the motion of its two-dimensional projection onto a surface (for...

Quantized Feedback Systems Perturbed By White Noise (1998)

Roger Brockett, Daniel Liberzon

This paper treats a class of nonlinear feedback systems perturbed by white noise, the nonlinearity being given by a piecewise constant function of a certain type. We obtain explicit formulae for...

Optimal Structure From Motion: Local Ambiguities and Global Estimates (1998)

Stefano Soatto, Roger Brockett

We present an analysis of SFM from the point of view of noise. This analysis results in an algorithm that is provably convergent and provably optimal with respect to a chosen norm. In particular, we...

ONR Annual Review 1997. Tactile Sensing and Information Processing for Man and Machine Systems. (1997)

Cutkosky, M. R., Kovacs, Gregory, Howe, Robert, Brockett, Roger

Haptic interfaces, that apply forces to the fingertips of a human operator, can be classified as grounded or ungrounded. Grounded devices, such as SensAble Devices' Phantom or Immersion's Impulse...

Optimal and Suboptimal Structure From Motion (1997)

Stefano Soatto, Roger Brockett

"Structure From Motion" (SFM) refers to the problem of estimating three-dimensional information about the environment from the motion of its two-dimensional projection onto a surface (for...

A Contour Base Recovery of Image Flow: Iterative Method (1988)

Wu, Jian, Wohn, K., Brockett, Roger

We present an iterative algorithm for the recovery of 2-D motion, i.e., an algorithm for the determination of a transformation which maps one image onto another. The local ambiguity in measuring the...