论文信息 - Nonlinear oscillations control. Energy invariants

Nonlinear oscillations control. Energy invariants

In this paper, the synthesis of control laws for nonlinear oscillatory systems based on introduction of energy invariants in the state space of synthesized systems is considered. Control problems for pendulum systems, including the “inverted pendulum” problem formulated by P.L. Kapitsa, are considered. New types of unified nonlinear oscillators are synthesized.

Al. A. Kolesnikov

[1] Alexander B. Neiman,et al. Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments , 2003 .

[2] Polina S. Landa,et al. Stochastic and Chaotic Oscillations , 1992 .

[3] Jürgen Kurths,et al. Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.

[4] J. J. Stoker. Nonlinear Vibrations in Mechanical and Electrical Systems , 1950 .

[5] Jürgen Kurths,et al. Synchronization: Phase locking and frequency entrainment , 2001 .