Title :
A study on the norm of mixed Hankel-Toeplitz operator
Author_Institution :
Dept. of Comput. Controlled Mech. Syst., Osaka Univ., Japan
Abstract :
This paper studies the norm of a mixed Hankel-Toeplitz operator that appears in the H∞ mixed sensitivity problem. A new Hamiltonian formula for the maximal singular value of the operator is derived without using any basis. An advantage of the approach is that it does not require state transformation matrices in the formula as found in the literature
Keywords :
H∞ control; Hilbert spaces; multidimensional systems; sensitivity analysis; singular value decomposition; state-space methods; H∞ control; Hamiltonian formula; Hankel-Toeplitz operator; Hilbert space; infinite dimensional systems; maximal singular value; sensitivity; state space; Control systems; Delay systems; Design methodology; Eigenvalues and eigenfunctions; Hilbert space; Hydrogen; Mechanical systems; Riccati equations; State-space methods; Transfer functions;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.878713
