A Formal Proof in Coq of LaSalle’s Invariance Principle-Reference-Cited by-同舟云学术

A Formal Proof in Coq of LaSalle’s Invariance Principle

Published:2017 Issue: Volume: Page:148-163
ISSN:0302-9743
Container-title:Interactive Theorem Proving
language:
Short-container-title:

Author:

Cohen Cyril,Rouhling Damien

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-319-66107-0_10

Reference24 articles.

1. Barkana, I.: Defending the beauty of the Invariance Principle. Int. J. Control 87(1), 186–206 (2014). http://dx.doi.org/10.1080/00207179.2013.826385

2. Lecture Notes in Computer Science,2013

3. Boldo, S., Lelay, C., Melquiond, G.: Coquelicot: A User-Friendly Library of Real Analysis for Coq. Math. Comput. Sci. 9(1), 41–62 (2015). http://dx.doi.org/10.1007/s11786-014-0181-1

4. Cano, G.: Interaction entre algèbre linéaire et analyse en formalisation des mathématiques. (Interaction between linear algebra and analysis in formal mathematics). Ph.D. thesis, University of Nice Sophia Antipolis, France (2014). https://tel.archives-ouvertes.fr/tel-00986283

5. Chan, M., Ricketts, D., Lerner, S., Malecha, G.: Formal Verification of Stability Properties of Cyber-Physical Systems, January 2016

Cited by 8 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. Formal proofs for Lyapunov stability theorems in exact real arithmetic;2023 European Control Conference (ECC);2023-06-13

2. A Theory of Auto-Scaling for Resource Reservation in Cloud Services;Stochastic Systems;2022-09

3. Towards a Constructive Framework for Control Theory;IEEE Control Systems Letters;2022

4. A Formal Proof of the Lax Equivalence Theorem for Finite Difference Schemes;Lecture Notes in Computer Science;2021

5. Deductive Stability Proofs for Ordinary Differential Equations;Tools and Algorithms for the Construction and Analysis of Systems;2021