Dynamical systems theory

Results: 995



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631Spectral theory / Complex analysis / Dynamical systems / Fractals / Quasicircle / Holomorph / Spectral theory of compact operators / Spectral theory of ordinary differential equations / Mathematical analysis / Mathematics / Abstract algebra

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Source URL: www.ias.ac.in

Language: English - Date: 2013-12-02 07:06:06
632Cybernetics / Mathematical optimization / Operations research / Dynamical systems / Stability theory / Linear-quadratic regulator / Trajectory optimization / Lyapunov stability / State space / Control theory / Systems theory / Optimal control

LQR-Trees: Feedback Motion Planning on Sparse Randomized Trees Russ Tedrake Computer Science and Artificial Intelligence Lab Massachusetts Institute of Technology Cambridge, MA 02139

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Source URL: groups.csail.mit.edu

Language: English - Date: 2010-01-12 23:42:03
633Stochastic processes / Dynamical systems / Markov chain / Metastability / Stochastic / Normal distribution / Spin glass / Control theory / Brownian motion / Statistics / Probability and statistics / Markov models

1 Metastable Walking Machines Katie Byl, Member, IEEE and Russ Tedrake, Member, IEEE Abstract— Legged robots that operate in the real world are

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Source URL: groups.csail.mit.edu

Language: English - Date: 2009-06-18 05:48:10
634Systems theory / Mathematical analysis / Trigonometry / Nonlinear control / Feedback linearization / Linearization / Stability theory / State observer / Lyapunov stability / Control theory / Mathematics / Dynamical systems

Stable dynamic walking over uneven terrain The International Journal of Robotics Research[removed]–279

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Source URL: groups.csail.mit.edu

Language: English - Date: 2011-02-26 11:10:52
635Control theory / Lyapunov stability / Cybernetics / Lyapunov function / Mathematical analysis / State space / Orbital stability / Stability theory / Dynamical systems / Systems theory

Lyapunov Analysis of Rigid Body Systems with Impacts and Friction via Sums-of-Squares Michael Posa Mark Tobenkin

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Source URL: groups.csail.mit.edu

Language: English - Date: 2013-02-10 18:48:27
636Stochastic processes / Dynamical systems / Markov chain / Stochastic matrix / Stochastic / Metastability / Spin glass / Normal distribution / Control theory / Statistics / Probability and statistics / Markov models

Metastable Walking on Stochastically Rough Terrain Katie Byl and Russ Tedrake Abstract— Simplified models of limit-cycle walking on flat terrain have provided important insights into the nature of legged locomotion. Re

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Source URL: groups.csail.mit.edu

Language: English - Date: 2008-07-31 16:41:47
637Applied mathematics / Trajectory optimization / Linear complementarity problem / Optimal control / Contact dynamics / Dynamical system / Quadratic programming / Linear programming / Complementarity theory / Mathematical optimization / Mathematical analysis / Mathematics

Direct Trajectory Optimization of Rigid Body Dynamical Systems Through Contact Michael Posa and Russ Tedrake Abstract Direct methods for trajectory optimization are widely used for planning locally optimal trajectories o

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Source URL: groups.csail.mit.edu

Language: English - Date: 2012-07-16 13:58:03
638Systems / Systems theory / Mathematics / Science / H-infinity methods in control theory / Continuous function / Orbifold / Mathematical analysis / Control theory / Dynamical system

L2 -Gain Optimization for Robust Bipedal Walking on Unknown Terrain Hongkai Dai and Russ Tedrake Abstract— In this paper we seek to quantify and explicitly optimize the robustness of a control system for a robot walkin

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Source URL: groups.csail.mit.edu

Language: English - Date: 2013-03-17 17:05:21
639Mathematics / Lyapunov stability / Stability theory / Mechanics / Trajectory / Motion planning / Kinematics / Dynamical systems / Physics / Fluid dynamics

Robust Online Motion Planning with Regions of Finite Time Invariance Anirudha Majumdar and Russ Tedrake Abstract In this paper we consider the problem of generating motion plans for a nonlinear dynamical system that are

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Source URL: groups.csail.mit.edu

Language: English - Date: 2012-07-15 13:07:26
640Operations research / Mathematical optimization / Dynamical systems / Control theory / Cybernetics / Linear programming / Interior point method / Convex optimization / Vector space / Mathematics / Algebra / Mathematical analysis

Safety Verification of Reactive Controllers for UAV Flight in Cluttered Environments using Barrier Certificates Andrew J. Barry, Anirudha Majumdar, and Russ Tedrake Abstract— Unmanned aerial vehicles (UAVs) have a so-f

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Source URL: groups.csail.mit.edu

Language: English - Date: 2012-02-11 15:34:15
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