Solutions for the Lurie-Postnikov and Aizerman problems

1 December 1978

journal article
research article
Published by Taylor & Francis in International Journal of Systems Science

Vol. 9 (12) , 1359-1372
https://doi.org/10.1080/00207727808941783

Abstract

The Lurie-Postnikov problem—‘ what are the necessary and sufficient conditions for the absolute stability of time-invariant Lurie-Postnikov systems ? ’— is solved by the (second) Liapunov method. It is also used for solving the Aizerman problem ‘under what necessary and sufficient conditions a Lurie-Postnikov system is absolutely stable on a sector as soon as the associated linear system is stable on the same sector ?’ The obtained results provide the explanation of the Aizerman conjecture failure.

Keywords

LINEAR SYSTEM

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