Title :
Spatial problems of nonlinear dynamics: motivation and analysis
Author :
Miroshnik, I.V. ; Olkhovskaya, Ekaterina
Author_Institution :
Lab. of Cybern. and Control Syst., State Inst. of Fine Mech. and Opt., St. Petersburg, Russia
Abstract :
The paper represents a comparative study of the main problems of spatial motion of nonlinear systems and properties of invariance and attractivity of smooth multidimensional sets. Their connection with concepts of synergetics, coordinated control and synchronization is demonstrated. Problems of energy stabilization and synchronization of coupled pendulums, as well as local behaviour of Lorenz system, are considered as special cases and prove an analogy of the concepts.
Keywords :
MIMO systems; invariance; nonlinear dynamical systems; pendulums; stability; synchronisation; Lorenz system; MIMO system; coordinated control; coupled pendulum synchronization; energy stabilization; invariance properties; nonlinear dynamical systems; smooth multidimensional sets; spatial problems; stability; synergetics concepts; Control system analysis; Control systems; Equations; MIMO; Medical control systems; Motion analysis; Motion control; Nonlinear control systems; Nonlinear dynamical systems; Stability analysis;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236898
