22 search results - page 1 / 5 » On Riccati Equations in Banach Algebras |
SIAMCO
2011
12 years 12 months ago
2011
Let R be a commutative complex Banach algebra with the involution ·⋆ and suppose that A ∈ Rn×n , B ∈ Rn×m , C ∈ Rp×n . The question of when the Riccati equation PBB⋆ ...
MCSS
2008
Springer
13 years 4 months ago
2008
Springer
In this paper we deal with a perturbed algebraic Riccati equation in an infinite dimensional Banach space. Besides the interest in its own right, this class of equations appears, ...
CDC
2008
IEEE
13 years 11 months ago
2008
IEEE
An optimal feedback control has been obtained for linear-quadratic optimal control problems with constraints described by differential-algebraic equations. For that purpose, a ne...
EUROPAR
2006
Springer
13 years 8 months ago
2006
Springer
We discuss a parallel algorithm for the solution of large-scale generalized algebraic Riccati equations with dimension up to O(105 ). We survey the numerical algorithms underlying ...
DAGSTUHL
2007
13 years 6 months ago
2007
The problem of reducing an algebraic Riccati equation XCX − AX − XD + B = 0 to a unilateral quadratic matrix equation (UQME) of the kind PX2 + QX + R = 0 is analyzed. New redu...