Isolated Semidefinite Solutions of the Continuous-time Algebraic Riccati Equation
نویسنده
چکیده
where A,B and C are complex matrices of dimensions n × n, n × p and q × n respectively. We focus on the set T = {X | R(X) = 0, X ≤ 0} of negative-semidefinite solutions and we shall characterize those elementsX of T which are isolated (in the topology which T inherits as a subset of the normed space C n×n). Such an isolated X has the property that for a sufficiently small there is no solution Y ∈ T , Y 6= X, with ‖X − Y ‖ < . For λ ∈ σ(A) let Eλ(A) = Ker(A− λI) denote the corresponding generalized eigenspace and let
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