Title :
Comments on "Matrix inequalities applicable to estimating solution sizes of Riccati and Lyapunov equations
Author :
Klompstra, Martin H.
Author_Institution :
Fac. of Electr. Eng., Eindhoven Univ. of Technol., Netherlands
Abstract :
In the above work by N. Komaroff (see ibid., vol.34, p.97-8 (1989)), the proof of an (almost) correct theorem has been based partly on an incorrectly cited theorem. As the incorrectly cited theorem could abusively be used by unsuspecting readers, accurate theorems and proofs are provided.<>
Keywords :
eigenvalues and eigenfunctions; matrix algebra; Lyapunov equations; Riccati equations; matrix inequality; Artificial intelligence; Damping; Digital systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Polynomials; Riccati equations; Robustness; Stability; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on