A study of the double pendulum using polynomial optimization-Reference-Cited by-同舟云学术

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A study of the double pendulum using polynomial optimization

Published:2021-10 Issue:10 Volume:31 Page:103102
ISSN:1054-1500
Container-title:Chaos: An Interdisciplinary Journal of Nonlinear Science
language:en
Short-container-title:Chaos

Author:

Parker J. P.¹^ORCID,Goluskin D.²^ORCID,Vasil G. M.³^ORCID

Affiliation:

1. Emergent Complexity in Physical Systems Laboratory (ECPS), École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland

2. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8P 5C2, Canada

3. School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0061316

Reference34 articles.

1. A Framework for Worst-Case and Stochastic Safety Verification Using Barrier Certificates

2. Control Barrier Function Based Quadratic Programs for Safety Critical Systems

3. Safety verification for distributed parameter systems using barrier functionals

4. A. D. Ames, S. Coogan, M. Egerstedt, G. Notomista, K. Sreenath, and P. Tabuada, “Control barrier functions: Theory and applications,” in 18th European Control Conference (EUCA, 2019), pp. 3420–3431.

5. P. A. Parrilo, “Polynomial optimization, sums of squares, and applications,” in Semidefinite Optimization and Convex Algebraic Geometry, edited by G. Blekherman, P. A. Parrilo, and R. R. Thomas (SIAM, 2013), Chap. 3, pp. 47–157.

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1. The Lorenz system as a gradient-like system;Nonlinearity;2024-08-07

2. Peak estimation of rational systems using convex optimization;European Journal of Control;2024-07

3. Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization;Journal of Nonlinear Science;2023-10-30

4. Convex computation of maximal Lyapunov exponents;Nonlinearity;2023-09-01

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