Title :
Comments on "A New Trace Bound for a General Square Matrix Product
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC
Abstract :
Theorem 2 of the recent paper presents a trace bound on the solution to the algebraic Riccati equation. In this note we point out that the proof contains contradictory assumptions, and hence the result is invalid.
Keywords :
Riccati equations; control system analysis; delay systems; stability; three-term control; algebraic Riccati equation; contradictory assumptions; fractional order system; fractional-order PID controller; general square matrix product; time delay; Automatic control; Eigenvalues and eigenfunctions; Riccati equations;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.2006823