화학공학소재연구정보센터
Automatica, Vol.92, 240-243, 2018
The Aizerman and Kalman conjectures using symmetry
decomposition of a Lurie system in terms of symmetric and skew-symmetric matrices, this paper presents reformulations of the classical conjectures of Aizerman and Kalman which give valid conditions for absolute stability. Under this decomposition, it is shown that a restatement of the Aizerman conjecture implies stability while the re-stated Kalman conjecture implies contraction. (C) 2018 Elsevier Ltd. All rights reserved.