Abstract
In a recent paper1 a sufficient condition for memoryless stabilization of a class of uncertain linear systems with a variable-state delay and norm-bounded time-varying uncertainties is derived in terms of an algebraic Riccati equation. This Riccati equation depends on several free matrix variables, and a subsequent result in the above-mentioned paper1, Theorem 2, states that failure or success of the stabilization algorithm is independent of the selection of these matrix variables. In this paper, we give a counter example to this Theorem 2 as well as providing a fix.
Original language | English |
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Pages (from-to) | 1740-1742 |
Number of pages | 3 |
Journal | IEEE Transactions on Automatic Control |
Volume | 42 |
Issue number | 12 |
DOIs | |
State | Published - 1997 |
Keywords
- Algebraic Riccati equation
- Quadratic stabilization
- Robust control
- Uncertain time-delay system