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Discrete-time Lyapunov stability of large matrices

✍ Scribed by M. Robbé; M. Sadkane


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
304 KB
Volume
115
Category
Article
ISSN
0377-0427

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✦ Synopsis


A hybrid method for analyzing the discrete-time Lyapunov stability of large matrices is proposed. The method combines Lyapunov theory with Krylov subspace techniques. Several numerical tests illustrate the behavior of the proposed method.


📜 SIMILAR VOLUMES


On the stability of large matrices
✍ A.N. MalysheV; M. Sadkane 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 667 KB

The distance rstab(d) of a stable matrix A to the set of unstable matrices and the norm of the exponential of matrices constitute two important topics in stability theory. We treat in this note the case of large matrices. The method proposed partitions the matrix into two blocks: a small block in wh