DocumentCode
27050
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
Volume
58
Issue
11
fYear
2013
fDate
Nov. 2013
Firstpage
2968
Lastpage
2973
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;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2013.2258787
Filename
6504719
Link To Document