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Aizerman's Problem for Orbital Stability and Forced Oscillations
Author(s) -
Gil' M.I.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200108)81:8<564::aid-zamm564>3.0.co;2-q
Subject(s) - impulse (physics) , mathematics , conjecture , periodic orbits , mathematical analysis , stability (learning theory) , control theory (sociology) , physics , pure mathematics , classical mechanics , computer science , control (management) , machine learning , artificial intelligence
Systems with positive impulse functions are considered. Explicit conditions for the orbital stability and for existence of periodic solutions and positive periodic ones are derived. Besides, it is shown that systems with positive impulse functions satisfy the generalized Aizerman conjecture.