Title
Transfer Operator-Based Approach For Optimal Stabilization Of Stochastic Systems
Abstract
In this paper, we develop linear transfer Perron-Frobenius operator-based approach for optimal stabilization of stochastic nonlinear systems. One of the main highlights of the proposed transfer operator based approach is that both the theory and computational framework developed for the optimal stabilization of deterministic dynamical systems in Ill carries over to the stochastic case with little change. The optimal stabilization problem is formulated as an infinite dimensional linear program. Set oriented numerical methods are proposed for the finite-dimensional approximation of the transfer operator and the controller. Simulation results are presented to verify the developed framework.
Year
Venue
Field
2017
2017 AMERICAN CONTROL CONFERENCE (ACC)
Control theory,Mathematical optimization,Nonlinear system,Control theory,Computer science,Stochastic process,Dynamical systems theory,Operator (computer programming),Numerical analysis,Transfer operator,Numerical stability
DocType
ISSN
Citations 
Conference
0743-1619
0
PageRank 
References 
Authors
0.34
12
3
Name
Order
Citations
PageRank
Apurba Kumar Das100.68
Arvind U. Raghunathan216320.63
Umesh Vaidya313127.95