State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems

Ball, Joseph A.; Mikkola, Kalle M.; and Sasane, AmolORCID logo (2005) State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems. SIAM Journal on Control and Optimization, 44 (2). pp. 531-563. ISSN 0363-0129
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We obtain state-space formulas for the solution of the Nehari--Takagi/suboptimal Hankel norm approximation problem for infinite-dimensional systems with a nonexponentially stable generator, via the method of J-spectral factorization. We make key use of a purely frequency-domain solution of the problem.
Item Type Article
Keywords Nehari--Takagi problem,infinite-dimensional systems,state-space formulas
Departments Mathematics
DOI 10.1137/S0363012903433024
Date Deposited 03 Nov 2008 12:07
URI https://researchonline.lse.ac.uk/id/eprint/15843

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