Title :
Vibrational control of nonlinear systems
Author :
Bellman, Richard ; Bentsman, J. ; Meerkov, S.M.
Author_Institution :
University of Southern California, Los Angeles, CA
Abstract :
The purpose of this paper is to establish the basis of vibrational control theory for nonlinear systems. The notions of vibrational stabilizability and vibrational controllability of nonlinear finite-dimensional systems are introduced and analyzed. Calculation formulae are derived. Transient behavior of vibrationally controlled nonlinear systems is studied. Several examples, including forced Duffing, Rayleigh and Van der Pol equations are discussed.
Keywords :
Control systems; Control theory; Controllability; Linear systems; Mathematics; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Temperature control; Vibration control;
Conference_Titel :
Decision and Control, 1984. The 23rd IEEE Conference on
Conference_Location :
Las Vegas, Nevada, USA
DOI :
10.1109/CDC.1984.272277
