Control Barrier Function based Quadratic Programs with Application to Bipedal Robotic Walking Shao-Chen Hsu1 , Xiangru Xu2 , Aaron D. Ames1 Abstract— This paper presents a methodology for the development of control bar

Source URL: www.bipedalrobotics.com

• Mathematics
• Nonlinear control
• Stability theory
• Backstepping
• Lyapunov function
• Continuous function
• State space
• Logarithm
• Control theory
• Systems theory
• Cybernetics

Learning Control Lyapunov Function to Ensure Stability of Dynamical System-based Robot Reaching Motions

Source URL: lasa.epfl.ch

JOINT SPECTRAL RADIUS AND PATH-COMPLETE GRAPH LYAPUNOV FUNCTIONS∗ ¨ JUNGERS, AMIR ALI AHMADI, RAPHAEL PABLO A. PARRILO, AND MARDAVIJ ROOZBEHANI† Abstract. We introduce the framework of path-complete graph Lyapunov f

Source URL: web.mit.edu

• Theoretical computer science
• Dynamical systems
• Control theory
• Lyapunov stability
• Lyapunov function
• Joint spectral radius
• Semidefinite programming
• Graph labeling
• Graph
• Graph theory
• Mathematics
• Stability theory

Towards Scalable Algorithms with Formal Guarantees for Lyapunov Analysis of Control Systems via Algebraic Optimization (Tutorial paper for the 53rd IEEE Conference on Decision and Control) Amir Ali Ahmadi and Pablo A. Pa

Source URL: www.princeton.edu

• Stability theory
• Systems theory
• Real algebraic geometry
• Applied mathematics
• Dynamical systems
• Lyapunov function
• Sum-of-squares optimization
• Semidefinite programming
• Lyapunov stability
• Mathematics
• Mathematical optimization
• Operations research

PDF Document

Source URL: www.cba.mit.edu

• Mathematics
• Nonlinear system
• Differential equation
• Lyapunov stability
• Ordinary differential equation
• Linear dynamical system
• Lyapunov function
• Linear differential equation
• Stability theory
• Calculus
• Dynamical systems
• Mathematical analysis

Complexity of 10 Decision Problems in Continuous Time Dynamical Systems Amir Ali Ahmadi IBM Watson Research Center Anirudha Majumdar MIT

Source URL: web.mit.edu

• Dynamical systems
• Stability theory
• Lyapunov function
• Lyapunov stability
• Quadratic
• Polynomial
• P versus NP problem
• Time complexity
• Lyapunov theory
• Theoretical computer science
• Mathematics
• Computational complexity theory

SOS-Convex Lyapunov Functions for Switched Systems Amir Ali Ahmadi Goldstine Fellow, Mathematical Programming Group IBM Watson Research Center Joint work with:

Source URL: web.mit.edu

• Mathematics
• Systems theory
• Dynamical systems
• Lyapunov function
• Convex function
• Lyapunov stability
• Mathematical optimization
• Convex set
• Joint spectral radius
• Convex analysis
• Mathematical analysis
• Stability theory

Stability of Nonlinear Systems By Guanrong Chen Department of Electronic Engineering City University of Hong Kong

Source URL: www.ee.cityu.edu.hk

• Mathematical analysis
• Mathematics
• Lyapunov stability
• Lyapunov function
• Nonlinear control
• Orbital stability
• Floquet theory
• Lyapunov equation
• Control theory
• Dynamical systems
• Stability theory
• Systems theory

Solving a Dynamic Traveling Salesman Problem with an Adaptive Hopfield Network

Source URL: www.complex-systems.com

• Applied mathematics
• Dynamical system
• Hopfield network
• Travelling salesman problem
• Lyapunov stability
• Lyapunov function
• Continuous function
• Mathematics
• Stability theory
• Mathematical analysis

Control of Nonlinear Systems with Full State Constraint Using a Barrier Lyapunov Function

Source URL: www1.i2r.a-star.edu.sg

• Nonlinear control
• Systems science
• Stability theory
• Mathematical optimization
• Operations research
• Backstepping
• Optimal control
• Lyapunov function
• State space
• Systems theory
• Control theory
• Cybernetics