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⋆ ...
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, ...
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...
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 ...
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...
Dario Andrea Bini, Beatrice Meini, Federico Poloni