RICCATI EQUATIONS ON NONCOMMUTATIVE BANACH ALGEBRAS (vol 49, pg 2542, 2011)

Curtain R

SIAM Journal on Control and Optimization, Vol.51, No.4, 3351-3354, 2013

DOI10.1137/120903105 Export Citation

RICCATI EQUATIONS ON NONCOMMUTATIVE BANACH ALGEBRAS (vol 49, pg 2542, 2011)

This paper contains corrections to [R. Curtain, SIAM J. Control Optim., 49 (2011), pp. 2542-2557]. While all claims remain valid, and the proof for the linear quadratic Riccati equations is correct, this proof does not cover the positive-real and bounded-real Riccati equations. Here a correct proof is given for these cases.

Keywords:Riccati equations;Banach algebras;systems over rings;optimal control;spatially distributed dynamical systems;spectral factorization