This chapter addresses the problem of controllability for stochastic complex electromagnetic media. The starting point is the stochastic integrodifferential equations that model the evolution of the fields, with a control procedure to be selected so that the system is driven to a desired final state. The controllability problem for stochastic media is more complicated than that for deterministic media and includes subtleties that must be addressed to reach a satisfactory answer. Hence, this chapter sets the model and then discusses the subtle issues introduced by the stochasticity in the controllability problem. It then proposes two different approaches towards controllability: an approach using PDEs with random coefficients and an approach using backward stochastic evolution equations (BSEEs). Afterward, the chapter lists several comments concerning boundary controllability and optimal control.
Keywords: controllability, stochastic complex electromagnetic media, stochastic integrodifferential equations, stochasticity, controllability problem, random coefficients, backward stochastic evolution equations, boundary controllability, optimal control
Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.
If you think you should have access to this title, please contact your librarian.
To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.