Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems

By Gennady A. Leonov, Nikolay V. Kuznetsov. 2011

70 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Information Systems, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b19fee09de88fe770d0c777dd1c59b6150be9bcd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Gennady A. Leonov
2. Nikolay V. Kuznetsov
3. Vladimir I. Vagaitsev

In Information Systems

1. Gennady A. Leonov
2. Nikolay V. Kuznetsov
3. Vladimir I. Vagaitsev

In Mechanics of Materials

1. Gennady A. Leonov
2. Nikolay V. Kuznetsov

Citations in the corpus

• Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor (2014, background): “, localization of hidden oscillations in various modifications of electrical Chua circuits [33,34,36,50–52], counterexamples to Aizerman conjecture and Kalman conjecture on absolute stability of nonlinear control systems [35,44,45], phase-locked loops [48,49], and aircraft control systems [5,6].”
• Hidden attractor in smooth Chua systems (2012, background): “In the 50–60’s of the last century the investigations of widely known Markus–Yamabe’s [11], Aizerman’s [12], and Kalman’s [13] conjectures on absolute stability, have led to the finding of hidden oscillations in the dynamical model of automatic control systems with scalar piecewise-linear nonlineari”