As is well known, Pontryagin's maximum principle and Bellman's dynamic programming are the two principal and most commonly used approaches in solving stochastic optimal control problems. * An interesting phenomenon one can observe from the literature is that these two approaches have been developed separately and independently. Since both methods are used to investigate the same problems, a natural question one will ask is the fol� lowing: (Q) What is the relationship betwccn the maximum principlc and dy� namic programming in stochastic optimal controls? There did exist some researches (prior to the 1980s) on the relationship between these two. Nevertheless, the results usually werestated in heuristic terms and proved under rather restrictive assumptions, which were not satisfied in most cases. In the statement of a Pontryagin-type maximum principle there is an adjoint equation, which is an ordinary differential equation (ODE) in the (finite-dimensional) deterministic case and a stochastic differential equation (SDE) in the stochastic case. The system consisting of the adjoint equa� tion, the original state equation, and the maximum condition is referred to as an (extended) Hamiltonian system. On the other hand, in Bellman's dynamic programming, there is a partial differential equation (PDE), of first order in the (finite-dimensional) deterministic case and of second or� der in the stochastic case. This is known as a Hamilton-Jacobi-Bellman (HJB) equation.

About the Author:

Jiongmin Yong is a professor at the Department of Mathematics, Fudan University, Shanghai, China.

"About this title" may belong to another edition of this title.

Store Description

GreatBookPrices.com is your top source for finding new books at the absolute lowest prices, guaranteed ! We offer big discounts - everyday - on millions of titles in virtually any category, from Architecture to Zoology -- and everything in between. Discover great deals and super-savings, on professional books, text book titles, the newest computer guides, or your favorite fiction authors. You'll find it all - at HUGE SAVINGS - at GreatBookPrices. Browse through our complete online product catalog today. Serving customers around the world for years, we help thousands find just the books they're looking for -- at incredibly low, bargain prices.

Visit Seller's Storefront

Seller's business information

Far Corner Europe Limited
19-20 Bourne Court, 19-20 Bourne Court, Woodford Green, IG8 8HD, United Kingdom

Terms of Sale:

Company Name: GreatBookPricesUK
Legal Entity: Far Corner Europe Limited
Address: 19-20 Bourne Court, Southend Road, Woodford Green Essex, UK IG8 8HD
Registration #: 10691061
Authorized representative: Danielle Hainsey

Shipping Terms:

Our warehouses across the globe are fully operational without substantial delays. We are working hard and continue to overcome the daily challenges presented by COVID-19. There have been reports that delivery carriers are experiencing large delays resulting in longer than normal deliveries to customers. We would like to apologize in advance if your item arrives later than the expected delivery due date.

Internal processing of your order will take about 1-2 business days. Please allow an additional 4-14 business days for Royal Mail delivery.

Detailed Seller Information

Payment Methods
accepted by seller

Add to Wants

Items related to Stochastic Controls : Hamiltonian Systems and Hjb Equations

Stochastic Controls : Hamiltonian Systems and Hjb Equations

Yong, Jiongmin; Zhou, Xun Yu

Used - Hardcover

Seller's business information