Open AccessDYNAMICS CONTROL AND CONSTRAINT STABILIZATION
Author(s) -
Н.В. Абрамов,
R. G. Mukharlyamov
Publication year - 2013
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2013-19-9.1-67-75
Subject(s) - constraint (computer aided design) , exponential stability , mathematics , partial differential equation , stability (learning theory) , dynamics (music) , manifold (fluid mechanics) , differential equation , mathematical analysis , control (management) , control theory (sociology) , computer science , physics , nonlinear system , engineering , geometry , mechanical engineering , quantum mechanics , machine learning , acoustics , artificial intelligence
Results of researchers on dynamics modeling of the systems containing different physical elements are proposed. The construction method of the physical systems dynamics equations, providing constraints stabilization, is discussed. The problem of corresponding constraints reactions or determination of control actions is reduced to the construction of the system of differential equations, assuming that the partial integrals are given. The conditions of asymptotic stability and exponential stability an integral manifold's corresponding constraint equations are defined.