Isolated semidefinite solutions of the continuous-time algebraic riccati equation | Zendy

Hȧrald K. Wimmer | Zendy

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Isolated semidefinite solutions of the continuous-time algebraic riccati equation

Author(s) -

Hȧrald K. Wimmer

Publication year - 1995

Publication title -

integral equations and operator theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.121

H-Index - 48

eISSN - 1420-8989

pISSN - 0378-620X

DOI - 10.1007/bf01299970

Subject(s) - mathematics , linear subspace , eigenvalues and eigenvectors , invariant (physics) , algebraic number , semidefinite programming , pure mathematics , algebraic riccati equation , riccati equation , combinatorics , mathematical analysis , differential equation , mathematical optimization , mathematical physics , physics , quantum mechanics

The set of all negative-semidefinite solutions of the CAREA*X+XA+XBB*X-C*C=0 is homeomorphic to a well defined set ofA-invariant subspaces provided that the purely imaginary eigenvalues ofA are controllable. Based on that homeomorphism isolated n.s.d. solutions of the CARE are characterized by properties of their kernels.

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