Theses:

Aaron D. Ames
A Categorical Theory of Hybrid Systems
PhD dissertation, Electrical Engineering and Computer Sciences, University of California, Berkeley 2006

Aaron D. Ames
Hyrid Model Structures
Master Thesis, Mathematics, University of California, Berkeley 2006










Publications:

A more frequently updated list of publications (including recently submitted papers) can be found Here


Jump to publications from:



2013

A. D. Ames, K. Galloway, J. W. Grizzle, and K. Sreenath
Rapidly Exponentially Stabilizing Control Lyapunov Functions and Hybrid Zero Dynamics. 
Conditionally accepted to the IEEE Transactions on Automatic Control, 2013.  [Note: linked paper is the submitted version and will be updated]

M. Powell, A. Hereid and A. D. Ames
Speed Regulation in 3D Robotic Walking through Motion Transitions between Human-Inspired Partial Hybrid Zero Dynamics.
To appear in the IEEE  International Conference on Robotics and Automation, 2013.

A. D. Ames
Human-Inspired Control of Bipedal Walking Robots.
Conditionally accepted for publication in IEEE Transactions on Automatic Control, 2013.

A. D. Ames
Human-Inspired Control of Bipedal Robotics via Control Lyapunov Functions and Quadratic Programs.
In Hybrid Systems: Computation and Control, 2013
[Extended abstract accompanying keynote presentation for HSCC 2013]

2012

S. Nadubettu Yadukumar and A. D. Ames
Achieving Bipedal Locomotion on Rough Terrain through Human-Inspired Control
In the IEEE International Symposium on Safety, Security, and Rescue Robotics, 2012

R. W. Sinnet,  S. Jiang and A. D. Ames.
A Human-Inspired Framework for Bipedal Robotic Walking Design.
To appear in the International Journal of Biomechatronics and Biomedical Robotics, 2012. 

A. D. Ames, K. Galloway and J. W. Grizzle. 
Control Lyapunov Functions and Hybrid Zero Dynamics. 
In the IEEE Conference on Decision and Control (CDC), 2012. 

S. Nadubettu Yadukumar, M. Pasupuleti and A. D. Ames.
Human-Inspired Underactuated Bipedal Robotic Walking with AMBER on Flat-ground, Up-slope and Uneven Terrain.
In IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2012.

H. Zhao, S. Nadubettu Yadukumar, and A. D. Ames.
Bipedal Robotic Running with Partial Hybrid Zero Dynamics and Human-Inspired Optimization.
In IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2012.

R. W. Sinnet and A. D. Ames.
Bio-Inspired Feedback Control of Three-Dimensional Humanlike Bipedal Robots. 
Journal of Robotics and Mechatronics, Special Issue on Focused areas and future trends in bio-inspired robots, Vol. 24, No. 4, Aug. 2012.

S. Nadubettu Yadukumar, M. Pasupuleti and A. D. Ames.
From Formal Methods to Algorithmic Implementation of Human Inspired Control on Bipedal Robots.
In the Tenth International Workshop on the Algorithmic Foundations of Robotics (WAFR), 2012. 

R. Vasudevan, A. D. Ames and R. Bajcsy
Persistent Homology for Automatic Determination of Human-Data Based Cost of Bipedal Walking
Accepted for publication in: Nonlinear Analysis: Hybrid System, 2012.
(Note: the linked file is the submitted version.  The final version, with minor modifications, will be uploaded in the near future.)

A. Lamperski and A. D. Ames
Lyapunov Theory for Zeno Stability
Accepted for publication in the IEEE Transactions on Automatic Control, 2012. 
(Note: the linked file is the submitted version.  The final version, with minor modifications, will be uploaded in the near future.)

R. W. Sinnet and A. D. Ames
Extending Two-Dimensional Human-Inspired Bipedal Robotic Walking to Three Dimensions through Geometric Reduction
In the American Control Conference (ACC), 2012.

S. Jiang, S. Patrick, H. Zhao, and A. D. Ames
Outputs of Human Walking for Bipedal Robotic Controller Design
In the American Control Conference (ACC), 2012.

S. Nadubettu Yadukumar, B. Kothapalli, and A. D. Ames
Zeno Behavior in Electromechanical Hybrid Systems: From Theory to Experimental Validation
To appear in the American Control Conference (ACC), 2012.

M. J. Powell, H. Zhao, and A. D. Ames
Motion Primatives for Human-Inspired Bipedal Robotic Locomotion: Walking and Stair Climbing
To appear in the IEEE International Conference on Robotics and Automation (ICRA), 2012.

A. D. Ames
First Steps Toward Underactuated Human-Inspired Bipedal Robotic Walking
To appear in the IEEE International Conference on Robotics and Automation (ICRA), 2012.

A. D. Ames, E. A. Cousineau, M. J. Powell
Dynamically Stable Robotic Walking with NAO via Human-Inspired Hybrid Zero Dynamics
To appear in Hybrid Systems, Computation and Control (HSCC) 2012.

E. D. B. Wendel and A. D. Ames
Rank Deficiency and Superstability of Hybrid Systems
Nonlinear Analysis: Hybrid Systems, Vol. 6(2), pages 787-805, 2012.   

2011

A. D. Ames
First Steps Toward Automatically Generating Bipedal Robotic Walking from Human Data
In 8th International Workshop on Robotic Motion and Control, RoMoCo'11. Appeared as a book chapter in Robotic Motion and Control, 2011,  K. Kozlowski eds, Lecture Notes in Control and Information Sciences, Volume 422, pages 89-116, 2012. 

R. W. Sinnet, M. J. Powell, Shu Jiang and A. D. Ames
Compass Gait Revisited: A Human Data Perspective with Extensions to Three Dimensions
In: 50th IEEE Conference on Decision and Control and European Control Conferenc, 2011

R. W. Sinnet, Huihua Zhao and A. D. Ames
Simulating Prosthetic Devices with Human-Inspired Hybrid Control
In: 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS11), San Francisco, 2011.

E. D. B. Wendel and A. D. Ames
Rank Deficiency and Superstability of Hybrid Systems with Application to Bipedal Robots.
In: 50th IEEE Conference on Decision and Control and European Control Conference, 2011.

R. Sinnet, M. Powell, R. Shah and A. D. Ames
A Human-Inspired Hybrid Control Approach to Bipedal Robotic Walking
In: 18th IFAC World Congress, Milano, Italy, 2011

R. Vasudevan, A. D. Ames and R. Bajcsy
Using Persistent Homology to Determine a Human-Data Based Cost for Bipedal Walking
In: 18th IFAC World Congress, Milano, Italy, 2011

W. Taha, P. Brauner, R. Cartwright, V. Gaspes and A.D. Ames.
A Core Language for Executable Models of Cyber Physical Systems
In: ACM/IEEE 2nd International Conference on Cyber-Physical Systems (ICCPS), 2011

A. D. Ames
Characterizing Knee-Bounce in Bipedal Robotic Walking: A Zeno Behavior Approach
In: Hybrid Systems: Computation and Control (HSCC), 2011

A. D. Ames, R. Vasudevan and R. Bajcsy
Human-Data Based Cost of Bipedal Robotic Walking
In: Hybrid Systems: Computation and Control (HSCC), 2011

2010

J. W. Grizzle, C. Chevallereau, A. D. Ames and R. Sinnet
3D Bipedal Robotic Walking: Models, Feedback Control, and Open Problems
In: 8th IRAC Symposium on Nonlinear Control Systems (NOLCOS), Bologna Italy, 2010

E. Wendel and A. D. Ames
Rank Properties of Poincare Maps for Hybrid Systems with Applications to Bipedal Walking
In Hybrid Systems: Computation and Control, 2010

Y. Zhu, E. Westbrook, J. Inoue, A. Chapoutot, C. Salama, M. Peralta, T. Martin, W. Taha, M. O'Malley, R. Cartwright, A.D. Ames, and R. Bhattacharya
Mathematical Equations as Executable Models of Mechanical Systems
In the First International Conference on Cyber-Physical Systems (ICCPS), 2010

2009

A. D. Ames, R. Sinnet and E. Wendel
Three-dimensional Kneed Bipedal Walking: A Hybrid Geometric Approach
In: P. Tabuada and R. Majumdar, editors, Hybrid Systems: Computation and Control, volume 5469 Lecture Notes in Computer Science, pages 16-30.  Springer-Verlag, 2009.

Y. Or and A. D. Ames
Existence of Periodic Orbits in Completed Lagrangian Hybrid Systems with Non-Plastic Impacts
In: P. Tabuada and R. Majumdar, editors, Hybrid Systems: Computation and Control, volume 5469 Lecture Notes in Computer Science, pages 291-305.  Springer-Verlag, 2009.



R. Sinnet and A. D. Ames
2D Bipedal Walking with Knees and Feet: A Hybrid Control Approach
In: 48th IEEE Conference on Decision and Control (CDC), 2009

R. Sinnet and A. D. Ames
3D Bipedal Walking with Knees and Feet: A Hybrid Geometric Approach
In: 48th IEEE Conference on Decision and Control, 2009

Y. Or and A. D. Ames
Formal and Practical Completion of Lagrangian Hybrid Systems
In: American Control Conference (ACC), 2009

2008

A. D. Ames, R. Murphy, D. Woods, J. Valasek and T. Zourntos
Human-Cyber-Physical Systems for Emergency Response
In: IEEE/RSJ International Conference on Intelligent Robot Systems, 2008

Y. Or and A. D. Ames
Stability of Zeno Equilibria in Lagrangian Hybrid Systems
In: 47th IEEE Conference on Decision
and Control, 2008

A. Lamperski and A. D. Ames
On the Existence of Zeno Behavior in Hybrid Systems with Non-Isolated Zeno Equilibria
In: 47th IEEE Conference on Decision
and Control, 2008

Aaron D. Ames and John C. Doyle
Complexity and Fragility in Stability
In: American Control Conference (ACC), 2008
Andy Lamperski and Aaron D. Ames
Sufficient Conditions for Zeno Behavior in Lagrangian Hybrid Systems
 In: Hybrid Systmes: Computation and Control (HSCC), 2008

Paulo Tabuada, Aaron D. Ames, Agung Julius and George J. Pappas
Approximate Reduction of Dynamical Systems
In: Systems and Control Letters, 57(7), 538-545, July 2008.

2007

Aaron D. Ames, Robert D. Gregg and Mark W. Spong
A Geometric Approach to Three-Dimensional Hipped Bipedal Robotic Walking
In: IEEE Conference on Decision and Control (CDC), 2007

Aaron D. Ames, Alessandro Abate and Shankar Sastry
Sufficient Conditions for the Existence of Zeno Behavior in Nonlinear Hybrid Systems via Constant Approximations
In: IEEE Conference on Decision and Control (CDC), 2007

David Pekarek, Aaron D. Ames and Jerrold E. Marsden
Discrete Mechanics and optimal Control Applied to the Compass Gait Biped
In: IEEE Conference on Decision and Control (CDC), 2007

Andrew Lamperski and Aaron D. Ames
Lyapunov-Like Conditions for the Existence of Zeno Behavior in Hybrid and Lagrangian Hybrid Systems
In: IEEE Conference on Decision and Control (CDC), 2007

Aaron D. Ames
Homotopy Meaningful Hybrid Model Structures
In M. Burger and M. Farber and R. Ghrist and D. Koditschek, editors, Topology and Robotics,
Contemporary Mathematics, pages 121-144. American Mathematical Society, 2007

Aaron D. Ames and Robert D. Gregg
Stably Extending Two-Dimensional Bipedal Walking to Three Dimensions
In: the American Control Conference (ACC), 2007

Sumitra Ganesh, Aaron D. Ames and Ruzena Bajcsy
Composition of Dynamical Systems for Estimation of Human Body Dynamics
In: Hybrid Systems: Computation and Control 2007

2006

Aaron D. Ames and Shankar Sastry.
Hybrid Geometric Reduction of Hybrid Systems
In: 45th IEEE Conference on Decision
and Control, San Diego, CA, 2006. (Awarded best paper of session.)

P. Tabuada, A. D. Ames, A. Julius and G. Pappas.
Approximate Reduction of Dynamical Systems
In: 45th IEEE Conference on Decision
and Control, San Diego, CA, 2006.

Aaron D. Ames, Robert D. Gregg, Eric D.B. Wendel and Shankar Sastry.
On the Geometric Reduction of Controlled Three-Dimensional Bipedal Robotic Walkers
In: 3rd Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNL'06), Nagoya Japan.

Aaron D. Ames and Shankar Sastry.
Hybrid Routhian Reduction of Lagrangian Hybrid Systems
In: American Control Conference (ACC), Minneapolis, MN, 2006.

Aaron D. Ames and Shankar Sastry.
Hybrid Cotangent Bundle Reduction of Simple Hybrid Mechanical Systems with Symmetry
In: American Control Conference (ACC), Minneapolis, MN, 2006.

Aaron D. Ames, Haiyang Zheng, Robert Gregg and Shankar Sastry.
Is there Life after Zeno?  Taking Executions past the Breaking (Zeno) Point.
In: American Control Conference (ACC), Minneapolis, MN, 2006.

Alessandro Abate,  Aaron D. Ames and Shankar Sastry.
Error-Bounds Based Stochastic Approximations and Simulations of Hybrid Dynamical Systems
In: American Control Conference (ACC), Minneapolis, MN, 2006.

Alessandro Abate,  Aaron D. Ames and Shankar Sastry.
A-Priori Detection of Zeno Behavior in Communication Networks Modeled as Hybrid Systems
In: American Control Conference (ACC), Minneapolis, MN, 2006.

Aaron D. Ames, Paulo Tabuada and Shankar Sastry.
On the Stability of Zeno Equilibria
In: Hybrid Systems: Computation and Control (HSCC), Santa Barbara, CA, 2006.

Haiyang Zheng, Edward A. Lee and Aaron D. Ames
Beyond Zeno: Get on with it!
In: Hybrid Systems: Computation and Control (HSCC), Santa Barbara, CA, 2006.

2005

Aaron D. Ames, Alberto Sangiovanni-Vincentelli and Shankar Sastry.
Homogenous Semantic Preserving Deployments of Heterogenous Networks of Embedded Systems.
In: Workshop on Networked Embedded Sensing and Control (to appear), Notre Dame, IN, Oct., 17--18, 2005.

Aaron D. Ames, Alessandro Abate and Shankar Sastry.
Sufficient Conditions for the Existence of Zeno Behavior.
In: 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005 (CDC-ECC'05), Seville, Spain, Dec., 12--15, 2005.

Jonathan Sprinkle, Aaron D. Ames and Shankar Sastry. 
On the Partitioning of Syntax and Semantics For Hybrid Systems Tools.
In: 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005 (CDC-ECC'05), Seville, Spain, Dec., 12--15, 2005.

Jonathan Sprinkle, Aaron D. Ames, J. Mikael Eklund, Ian M. Mitchell and Shankar Sastry.
Online Safety Calculations for Glide-Slope Recapture.
In: Inovations in Systems and Software Engineering, Vol. 1, no. 2, Jul., 2005.

Aaron D. Ames and Shankar Sastry.
Characterization of Zeno Behavior in Hybrid Systems using Homological Methods.
In: the 24th American Control Conference 2005 (ACC’05), Portland, OR, 2005.

Alessandro Abate, Aaron D. Ames and Shankar Sastry.
Stochastic Approximations of Hybrid Systems.
In: the 24th American Control Conference 2005 (ACC’05), Portland, OR, 2005.

Aaron D. Ames and Shankar Sastry.
A Homology Theory for Hybrid Systems:  Hybrid Homology.
In: Hybrid Systems: Computation and Control, 8th International Workshop, Proc., Zurich, Switzerland, March 9-11, M. Morari and L. Thiele, eds., vol. 3414 of Lecture Notes in Computer Science, Springer-Verlag, pp. 86-102, 2005.

2004

Aaron D. Ames and Shankar Sastry.
Blowing Up Affine Hybrid Systems. 
In: 43rd IEEE Conference on Decision and Control 2004 (CDC'04), Atlantis, Paradise Island, Bahamas, Dec. 2004, pp. 473-478.

Aaron D. Ames and Shankar Sastry.
Affine Hybrid Systems. 
In: Hybrid Systems: Computation and Control, 7th International Workshop, Proc., Philadelphia, PA, USA, March 25-27, R. Alur and G. J. Pappas, eds., vol. 2993 of Lecture Notes in Computer Science, Springer-Verlag, pp. 16-31, 2004.

2002

Aaron D. Ames, J. A. Jalkio and C. Shakiban. 
Three-Dimensional Object Recognition Using Invariant Euclidean Signature Curves. 
In: the Proceeding of the International Symposium on Analysis, Combinatorics and Computing, held August 5-8, 2000.  Also available in Analysis, Combinatorics and Computing, pg. 13-23, Nova Scientific Publishing, Inc. Commack, NY, 2002.

Technical Reports and Unpublished Notes:

Aaron D. Ames and Paulo Tabuada
H-Categories and Graphs.
Unpublished Note.



Selected Presentations:

Sufficient Conditions for the Existence of Zeno Behavior in a Class of Nonlinear Hybrid Systems via Constant Approximations
Presented at the CDC 2007, New Orleans LA

A Geometric Approach to Three-Dimensional Hipped Bipedal Robotic Walking
Presented at the CDC 2007, New Orleans, LA

Stably Extending Two-Dimensional Bipedal Walking to Three Dimensions
Presented at the ACC 2007, New York, NY

Hybrid Geometric Reduction of Hybrid Systems
Presented at the CDC 2006 , San Diego CA

Stably Extending Two-Dimensional Bipedal Walking to Three Dimensions via Geometric Reduction
Presented at the Systems Science Seminar, University of Michigan, December 2006

Stably Extending Two-Dimensional Bipedal Walking to Three Dimensions via Geometric Reduction
Presented at the Decision and Control Seminar, University of Illinois at Urbana-Champaign, November 2006

Hybrid Model Category Structures and Homotopy Colimits
Presented at the Topology Seminar, University of Illinois at Urbana-Champaign, November 2006

Towards the Geometric Reduction of Controlled Three-Dimensional Bipedal Robotic Walkers
Presented at the Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Nagoya, Japan 2006

Hybrid Model Structures (or Hybrid Homotopy Theory)
Presented at the Workshop on Topology and Robotics, ETH Zurich, 2006

Hybrid Routhian Reduction of Lagrangian Hybrid Systems
Presented at ACC, Minneapolis, MN, 2006

Hybrid Cotangent Bundle Reduction of Simple Hybrid Mechanical Systems with Symmetry
Presented at ACC, Minneapolis, MN, 2006

Is there Life after Zeno?  Taking Executions past the Breaking (Zeno) Point.
Presented at ACC, Minneapolis, MN, 2006

Thesis Talk
Presented at the Berkeley CHESS seminar

On the Stability of Zeno Equilibria
Presented at Hybrid Systems: Computation and Control, Santa Barbara, CA 2006

Homogeneous Semantic Preserving Deployments of Heterogeneous Networks of Embedded Systems.
Presented at the Berkeley seminar on Networked Embedded Systems.

Sufficient Conditions for the Existence of Zeno Behavior.
 Presented at CDC-ECC'05

Homogeneous Semantic Preserving Deployments of Heterogeneous Networks of Embedded Systems.
Presented at NESC 2005.

A Categorical Approach to the Hybrid Reduction of Hybrid Symplectic Manifolds with Hybrid Symmetry.
Presented at Notre Dame.

Characterization of Zeno Behavior in Hybrid Systems using Homological Methods.
Presented at ACC 2005.

A Homology Theory for Hybrid Systems: Hybrid Homology
Presented at HSCC 2005.

Blowing Up Affine Hybrid Systems
Presented at CDC 2004.


Affine Hybrid Systems
Presented at HSCC 2004.


Blowing Up Affine Hybrid Systems
Presented at the Berkeley CHESS seminar


A Categorical Theory of Hybrid Systems
Presented at the Berkeley CHESS seminar




 

 


 

 

 


 

 

 

 


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