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Existence and Stability of Normal Motions in Loaded Hydraulic Copying Systems with Periodic and Composed Inputs
Author(s) -
Halanay A.,
Safta C.A.
Publication year - 2000
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/(sici)1521-4001(200002)80:2<93::aid-zamm93>3.0.co;2-t
Subject(s) - copying , control theory (sociology) , servomechanism , lyapunov function , stability (learning theory) , motion (physics) , value (mathematics) , mathematics , computer science , control engineering , engineering , physics , artificial intelligence , control (management) , nonlinear system , law , statistics , quantum mechanics , machine learning , political science
We prove that if a hydraulic copying servomechanism subject to a periodic cutting force has as an input a combination of step, ramp, and sin and cos functions then an output of the same form (normal motion) exists under certain constraints. We investigate the stability of the normal motion by the Lyapunov‐Malkin methods as the value of the underlap spool valve varies.