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For a linear system, the detectability condition can be weakened to the Hamiltonian matrix composed of (A, B, Q, R) having eigenvalues with nonzero real parts, for the existence of the unique positive semidefinite stabilising solution of the algebraic Riccati equation. This condition yields the optimal feedback gain and can always be easily obtained by a given iterative technique.
Inspec keywords: feedback; eigenvalues and eigenfunctions; iterative methods; matrix algebra
Other keywords:
Subjects: Interpolation and function approximation (numerical analysis); Linear algebra (numerical analysis); Linear algebra (numerical analysis); Interpolation and function approximation (numerical analysis)