Title :
Stabilization of Quasi Integrable Hamiltonian Systems With Fractional Derivative Damping by Using Fractional Optimal Control
Author :
Fang Hu ; Wei Qiu Zhu
Author_Institution :
Dept. of Mech., Zhejiang Univ., Hangzhou, China
Abstract :
An innovative procedure for designing fractional optimal control to asymptotically stabilize, with probability one, quasi integrable Hamiltonian systems with fractional derivative dampings is proposed. It is proved that the systems indeed can be stabilized by using the proposed procedure. An example is given to illustrate the procedure and its effectiveness.
Keywords :
asymptotic stability; control system synthesis; damping; optimal control; probability; asymptotic stability; fractional derivative damping; fractional optimal control design; probability; quasiintegrable Hamiltonian system stabilization; Damping; Equations; Multi-agent systems; Optimal control; Predictive control; White noise; Dynamical programming; fractional control; fractional derivative damping; largest Lyapunov exponent; nonlinear stochastic system; stochastic averaging; stochastic stabilization;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2258787
