Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations

Automatica

Volumn 38, Issue 7, 2002, Pages 1147-1152

  Choi, Han Ho ^a   Kuc, Tae Yong ^b  

^a Andong National University   (South Korea)

^b Sungkyunkwan University   (South Korea)

Author keywords

Algebraic Riccati equation; Determinant; Eigenvalue; Lyapunov equation; Trace

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; RICCATI EQUATIONS;

LYAPUNOV MATRIX EQUATIONS;

OPTIMAL CONTROL SYSTEMS;

EID: 0036642648     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(01)00304-1     Document Type: Article

References (19)

1. Upper matrix bounds for the discrete algebraic Riccati matrix equation
2. On bounds of Lyapunov's matrix equation
3. A note on eigenvalue bounds in algebraic Riccati equation
4. Some bounds of the solution of the algebraic Riccati equation
5. Conditions for nonnegativeness of partioned matrices
6. On bounds of the Riccati and Lyapunov matrix equations
7. A note on the algebraic Riccati and Lyapunov equations
8. Bounds in algebraic Riccati and Lyapunov equations: A survey and some new results
9. New results for the bounds of the solution for the continuous Riccati and Lyapunov equations
10. Comments on 'On the Lyapunov matrix equation'
11. Bounds in the Lyapunov matrix differential equation
12. A brief summary of the bounds on the solution of the algebraic matrix equations in control theory
13. On norm bounds for algebraic Riccati and Lyapunov equations
14. On the Lyapunov matrix equations
15. Bounds on performance of nonstationary continuous-time filters under modeling uncertainty
16. Trace bounds on the Riccati and Lyapunov equation
17. Upper and lower bounds on the solution of the algebraic Riccati equation