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Accelerated Implicit Single-Step Splitting Iteration Method for a Class of Coupled Lyapunov Equations

Autor: Shi-Yu Li, Xin-Hui Shao, Yan-Ran Li

Publikováno v: IEEE Access, Vol 8, Pp 171590-171597 (2020)

For the coupled Lyapunov problem derived from continuous Markov jump systems, a new implicit single-step splitting(ISS) iterative algorithm is proposed based on the idea of single step split iteration. After that, the accelerated implicit single-step

Externí odkaz: https://doaj.org/article/92cc57b0f7a74c7a83d94a0f5afbe4b4

Two modified least-squares iterative algorithms for the Lyapunov matrix equations

Autor: Min Sun, Yiju Wang, Jing Liu

Publikováno v: Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-10 (2019)

Abstract In this paper two modified least-squares iterative algorithms are presented for solving the Lyapunov matrix equations. The first algorithm is based on the hierarchical identification principle, which can be viewed as a surrogate of the least

Externí odkaz: https://doaj.org/article/08522fda16a4434b9c4f43b2db3c69cd

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A gradient-based iterative algorithm for solving coupled Lyapunov equations of continuous-time Markovian jump systems

Autor: Liu Yaqiu, Zhao Hua-qi, Wang Kun

Publikováno v: Automatika, Vol 60, Iss 4, Pp 510-518 (2019)
Automatika : časopis za automatiku, mjerenje, elektroniku, računarstvo i komunikacije
Volume 60
Issue 4

In this paper, a new gradient-based iterative algorithm is proposed to solve the coupled Lyapunov matrix equations associated with continuous-time Markovian jump linear systems. A necessary and sufficient condition is established for the proposed gra

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74b9c2a9722e5439f21f23e568a6f74d
https://doaj.org/article/5d14012311454ce096d9288308b80d81