Title :
Method of Lyapunov functions for controllable Hamiltonian systems
Author :
Shmyrov, Alexander ; Shmyrov, Vasily
Author_Institution :
St.-Peterburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
Lyapunov function method is especially effective for controllable Hamiltonian systems. For such systems, control is chosen so that save the Hamiltonian form of the equations and the Lyapunov function is based on the Hamiltonian function. This approach allows us to achieve the Lyapunov stability of stationary solution.
Keywords :
Lyapunov matrix equations; celestial mechanics; functions; stability; Hamiltonian function; Lyapunov function method; Lyapunov stability; controllable Hamiltonian system; equation Hamiltonian form; stationary solution; Asymptotic stability; Control systems; Educational institutions; Electronic mail; Equations; Lyapunov methods; Space vehicles;
Conference_Titel :
Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-5319-6
DOI :
10.1109/BDO.2014.6890078
