Title :
Asymptotic behavior of nonlinear non-autonomous mechanical systems with two-component homogeneous potential forces
Author :
Fadeev, Sergey S.
Author_Institution :
St.-Petersburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
Nonlinear non-autonomous mechanical systems with two-component homogeneous potential forces are considered. Based on method of Lyapunov functions there were proved several theorems that provide asymptotic stability and ultimate boundedness of solutions of system under variety of conditions. MATLAB computing environment was used to numerically estimate some of the obtained results.
Keywords :
Lyapunov methods; asymptotic stability; differential equations; force control; Lyapunov functions; asymptotic stability; differential equations; force control; nonlinear nonautonomous mechanical systems; numerical analysis; two-component homogeneous potential forces; Asymptotic stability; Educational institutions; Kinetic energy; Lyapunov methods; Mechanical systems; Symmetric matrices; Vectors;
Conference_Titel :
Computer Technologies in Physical and Engineering Applications (ICCTPEA), 2014 International Conference on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-5315-8
DOI :
10.1109/ICCTPEA.2014.6893270
