Moments and convex optimization for analysis and control of nonlinear PDEs-Reference-Cited by-同舟云学术

Moments and convex optimization for analysis and control of nonlinear PDEs

Published:2022 Issue: Volume: Page:339-366
ISSN:1570-8659
Container-title:Numerical Control: Part A
language:
Short-container-title:

Author:

Korda Milan,Henrion Didier,Lasserre Jean Bernard

Publisher

Elsevier

Reference38 articles.

1. Lyapunov stability analysis of a string equation coupled with an ordinary differential system;Barreau;IEEE Transactions on Automatic Control,2018

2. Bounds on linear PDEs via semidefinite optimization;Bertsimas;Mathematical Programming,2006

3. Weak-strong uniqueness for measure-valued solutions;Brenier;Communications in Mathematical Physics,2011

4. Polynomial sum of squares in fluid dynamics: a review with a look ahead;Chernyshenko;Philosophical Transactions of the Royal Society. Series A,2014

5. Measure-valued solutions to conservation laws;DiPerna;Archive for Rational Mechanics and Analysis,1985

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws;Numerische Mathematik;2024-07-15

2. Global Minimization of Polynomial Integral Functionals;SIAM Journal on Scientific Computing;2024-07-01

3. A PIE Representation of Scalar Quadratic PDEs and Global Stability Analysis Using SDP;2023 62nd IEEE Conference on Decision and Control (CDC);2023-12-13

4. Peak Estimation of Time Delay Systems Using Occupation Measures;2023 62nd IEEE Conference on Decision and Control (CDC);2023-12-13

5. Tighter Bounds on Transient Moments of Stochastic Chemical Systems;Journal of Optimization Theory and Applications;2023-11-21