TY - JOUR

T1 - Solving a Local Boundary Value Problem for a Nonlinear Nonstationary System in the Class of Feedback Controls

AU - Kvitko, A. N.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - An algorithm convenient for numerical implementation is proposed for constructing differentiable control functions that transfer a wide class of nonlinear nonstationary systems of ordinary differential equations from an initial state to a given point of the phase space. Constructive sufficient conditions imposed on the right-hand side of the controlled system are obtained under which this transfer is possible. The control of a robotic manipulator is considered, and its numerical simulation is performed.

AB - An algorithm convenient for numerical implementation is proposed for constructing differentiable control functions that transfer a wide class of nonlinear nonstationary systems of ordinary differential equations from an initial state to a given point of the phase space. Constructive sufficient conditions imposed on the right-hand side of the controlled system are obtained under which this transfer is possible. The control of a robotic manipulator is considered, and its numerical simulation is performed.

KW - algorithm for constructing control functions

KW - boundary conditions

KW - controllable system

KW - phase coordinates

KW - stabilization

UR - http://www.scopus.com/inward/record.url?scp=85042718025&partnerID=8YFLogxK

U2 - 10.1134/S0965542518010104

DO - 10.1134/S0965542518010104

M3 - Article

AN - SCOPUS:85042718025

VL - 58

SP - 65

EP - 77

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 1

ER -