Iterative construction of complete lyapunov functions: analysis of algorithm efficiency

Argáez, Carlos, Giesl, Peter and Hafstein, Sigurdur (2020) Iterative construction of complete lyapunov functions: analysis of algorithm efficiency. In: Advances in Intelligent Systems and Computing. Advances in Intelligent Systems and Computing, 947 . Springer, pp. 83-100. ISBN 9783030359430

[img] PDF - Accepted Version
Restricted to SRO admin only

Download (3MB)

Abstract

Differential equations describe many interesting phenomena arising from various disciplines. This includes many important models, e.g. predator-prey in population biology or the Van der Pol oscillator in electrical engineering. Complete Lyapunov functions allow for the systematic study of the qualitative behaviour of complicated systems. In this paper, we extend the analysis of the algorithm presented in. We study the efficiency of our algorithm and discuss important sections of the code.

Item Type: Book Section
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 24 Jun 2022 08:12
Last Modified: 24 Jun 2022 08:12
URI: http://sro.sussex.ac.uk/id/eprint/106588

View download statistics for this item

📧 Request an update