2026 Anthony M. Bloch: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	50	1067	910	497	396	292	12516
Engineering and Technology	51	3784	3628	1109	1016	307	12710

Research.com Recognitions

2013 - Fellow of the American Mathematical Society
2012 - SIAM Fellow For contributions to the dynamics and control of mechanical systems.
2003 - IEEE Fellow For contributions to nonlinear dynamics and geometric control of physical systems.
1996 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Anthony M. Bloch is affiliated with the University of Michigan-Ann Arbor in the United States. Their research spans the fields of Engineering and Physics and Astronomy, with particular focus on Control and Systems Engineering, Computer Vision and Pattern Recognition, Astronomy and Astrophysics, Statistical and Nonlinear Physics, and Geometry and Topology.

Their main research topics include Control and Dynamics of Mobile Robots, Robotic Path Planning Algorithms, Dynamics and Control of Mechanical Systems, Gene Regulatory Network Analysis, Stellar, planetary, and galactic studies, Astro and Planetary Science, and Adaptive Control of Nonlinear Systems.

Frequent co-authors in their research collaborations include Alexandre Anahory Simoes, Efstratios Stratoglou, Leonardo Colombo, Maani Ghaffari, and Fred C. Adams.

The scientist has published extensively in a variety of venues. Common publication venues include:

arXiv (Cornell University)
IFAC-PapersOnLine
Monthly Notices of the Royal Astronomical Society
Physical Review. D/Physical Review. D.
2022 IEEE 61st Conference on Decision and Control (CDC)

Recent papers authored or co-authored by them include:

Energy optimization in extrasolar planetary systems: the transition from peas-in-a-pod to runaway growth (2020), Monthly Notices of the Royal Astronomical Society
Lie Algebraic Cost Function Design for Control on Lie Groups (2022), 2022 IEEE 61st Conference on Decision and Control (CDC)
Hamel's Formalism for Classical Field Theories (2020), Journal of Nonlinear Science
Architectures of Compact Multi-planet Systems: Diversity and Uniformity (2022), arXiv (Cornell University)
Mean-square integral input-to-state stability of nonlinear impulsive semi-Markov jump delay systems (2021), Journal of the Franklin Institute

Throughout their career, they have received several fellowships and recognitions including:

Fellow of the American Mathematical Society (2013)
SIAM Fellow (2012) for contributions to the dynamics and control of mechanical systems
IEEE Fellow (2003) for contributions to nonlinear dynamics and geometric control of physical systems
Fellow of John Simon Guggenheim Memorial Foundation (1996)

Best Publications

Nonholonomic mechanics and control

Anthony Bloch

1422
Citations
Control and stabilization of nonholonomic dynamic systems

A.M. Bloch;M. Reyhanoglu;N.H. McClamroch

1077
Citations
Nonholonomic Mechanical Systems with Symmetry

Anthony M. Bloch;P. S. Krishnaprasad;Jerrold E. Marsden;Richard M. Murray

924
Citations
Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem

A.M. Bloch;N.E. Leonard;J.E. Marsden

682
Citations
Controlled Lagrangians and the stabilization of mechanical systems. II. Potential shaping

A.M. Bloch;Dong Eui Chang;N.E. Leonard;J.E. Marsden

477
Citations
The Euler-Poincaré equations and double bracket dissipation

Anthony M. Bloch;P. S. Krishnaprasad;Jerrold E. Marsden;Tudor S. Ratiu

288
Citations
Stabilization of rigid body dynamics by internal and external torques

A. M. Bloch;P. S. Krishnaprasad;J. E. Marsden;G. Sánchez de Alvarez

282
Citations
Dissipation Induced Instabilities

Anthony M. Bloch;Perinkulam S. Krishnaprasad;Jerrold E. Marsden;Tudor S. Ratiu

225
Citations
Control of mechanical systems with classical nonholonomic constraints

A.M. Bloch;N.H. McClamroch

224
Citations
Stabilization and tracking in the nonholonomic integrator via sliding modes

Anthony Bloch;Sergey Drakunov

223
Citations
The equivalence of controlled lagrangian and controlled hamiltonian systems

Dong Eui Chang;Anthony M. Bloch;Naomi E. Leonard;Jerrold E. Marsden

208
Citations
Stabilization of mechanical systems using controlled Lagrangians

A.M. Bloch;N.E. Leonard;J.E. Marsden

195
Citations
Stabilization of a nonholonomic system via sliding modes

A. Bloch;S. Drakunov

178
Citations
Controllability and stabilizability properties of a nonholonomic control system

A.M. Bloch;M. Reyhanoglu

177
Citations
Endpoint Force Fluctuations Reveal Flexible Rather Than Synergistic Patterns of Muscle Cooperation

Jason J. Kutch;Arthur D. Kuo;Anthony M. Bloch;William Z. Rymer

177
Citations
Quasivelocities and symmetries in non-holonomic systems

Anthony M. Bloch;Jerrold E. Marsden;Dmitry V. Zenkov

172
Citations
Completely Integrable Gradient Flows

Anthony M. Bloch;Roger W. Brockett;Tudor S. Ratiu

170
Citations
Optimal Control of Underactuated Nonholonomic Mechanical Systems

I.I. Hussein;A.M. Bloch

150
Citations
Turbulence Implies that Mean Motion Resonances are Rare

Fred C. Adams;Gregory Laughlin;Anthony M. Bloch

142
Citations
The energy-momentum method for the stability of non-holonomic systems

Dmitry V. Zenkov;Anthony M. Bloch;Jerrold E. Marsden

139
Citations

Frequent Co-Authors

Jerrold E. Marsden California Institute of Technology

Tudor S. Ratiu École Polytechnique Fédérale de Lausanne

Naomi Ehrich Leonard Princeton University

Ilya Kolmanovsky University of Michigan–Ann Arbor

Roger W. Brockett Harvard University

Arieh Iserles University of Cambridge

Daniel J. Scheeres University of Colorado Boulder

N. Harris McClamroch University of Michigan–Ann Arbor

Mahmut Reyhanoglu University of North Carolina at Asheville

Jessy W. Grizzle University of Michigan–Ann Arbor

External Links

Personal website of Anthony M. Bloch Google Scholar page

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