On the decay rate of Hankel singular values and related issues

Systems and Control Letters

Volumn 46, Issue 5, 2002, Pages 323-342

  Antoulas, A C ^a   Sorensen, D C ^a   Zhou, Y ^a  

^a Rice University   (United States)

Author keywords

Balanced truncation; Cauchy matrices; Eigen Singular value decay rates; Hankel singular values; Lyapunov equations

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; ERROR ANALYSIS; LYAPUNOV METHODS;

LINEAR DYNAMICAL SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0037103431     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(02)00147-0     Document Type: Article

References (22)

1. On eigenvalues and singular values of linear dynamical systems
2. A survey of model reduction methods for large-scale systems
3. Conditioning of infinite Hankel matrices of finite rank
4. The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
5. Unconditional bases are optimal bases for data compression and for statistical estimation
6. A polynomial approach to Hankel norm and balanced approximations
7. Triangular factors of Cauchy and Vandermonde matrices
8. Model reduction of state space systems via an implicity restarted Lanczos method
9. Approximate solution of large sparse Lyapunov equations
10. Numerical solution of the Lyapunov equation by approximate power iteration
11. On the eigenvalues of a matrix with prescribed singular values
12. Krylov subspace methods for solving large Lyapunov equations
13. Bounds in algebraic Riccati and Lyapunov equations: A survey and some new results
14. Synthesis of minimum round-off noise fixed point digital filters
15. Eigenvalue decay bounds for solutions of Lyapunov equations: The symmetric case
16. A cyclic low-rank smith method for large sparse Lyapunov equations
17. Numerical solution of large Lyapunov equations
18. Equivalences on eigenvalues