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Book details

Stochastic Controls

Hamiltonian Systems and HJB Equations (Stochastic Modelling and Applied Probability)

by Jiongmin Yong, Xun Yu Zhou

Published 1999438 pagesISBN 978-0-3879-8723-1

"This book gives a self-contained and systematic exposition of the major optimal control theory for continuous-time stochastic diffusion processes, including the Pontryagin type maximum principle (MP) featuring second-order adjoint equations, the Bellman dynamic programming (DP) method via viscosity solution theory, and the Kalman linear-quadratic (LQ) models with indefinite cost functionals. A major feature of the controlled systems under consideration is that the controls enter into both the drifts and the diffusions, making it fundamentally different from the deterministic systems. The main theme of the book is on establishing relations between MP and DP, or essentially those between Hamiltonian systems and Hamilton-Jacobi-Bellman (HJB) equations."--BOOK JACKET. "This book can be used as a textbook for graduate students majoring in stochastic controls and applications. Some knowledge in measure theory and real analysis will be helpful. It can also serve as a reference for researchers in applied probability, control theory, operations research, physics, economics, and finance."--BOOK JACKET.

Beyond its central premise, the book can be read through the connected lenses of Nonfiction. Those themes offer useful points of attention as the characters, ideas, or world develop, especially where the book complicates the expectations of its primary category.

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What the reading experience may hold

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Themes to notice

Nonfiction

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Content notes

No specific content concerns can be confirmed from the available English catalog information. Consult a publisher or reader-supplied guide when detailed warnings matter.

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Reading experience

Balanced tone · Steady pace

Best when you want to settle into a longer reading experience.

Who it may suit

A good fit if…

Readers who want a thoughtful experience and enjoy noticing the connections beneath a book’s surface story.

At a glance

This book's DNA

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ToneBalanced
LuminousDark

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No plot details

Spoiler-Free Emotional Arc

A broad estimate of the book’s emotional rhythm, shown without story events or outcomes.

Spoiler-free
12345
PeakRelative emotional intensity
Stochastic ControlsJiongmin Yong, Xun Yu Zhou
Powerful4.4/5

This visualization is an interpretive estimate based on catalog description, categories, tone, pace, and content signals. It does not describe specific scenes.

Before you choose

A quick reading snapshot

Edition facts and catalog signals to help you decide whether this book fits what you want to read next.

Reading lengthA standard-length read438 pages in this edition
Publication eraModernFirst published or edition dated 1999
Primary categoryNonfictionExplore similar books below
ISBN-13
978-0-3879-8723-1
Language
English
Edition record
OL9716589M
BookenDeX editorial lens

A more thoughtful way into this book

This guide uses the edition details and category signals above to help you choose deliberately. It does not replace the author's work or a full review.

Good to know

Best when you want to settle into a longer reading experience.

Begin with its place in Nonfiction, then notice where the book resists that label.

Try this reading approach

Read for connection, not completion.

Mark one passage that sharpens the book's central concern and one that complicates it. That tension often reveals more than a quick summary.

Three questions to carry with you

  1. Whose perspective organizes the story, and whose perspective remains outside it?
  2. Which sources or lived experiences carry the author’s central argument?
  3. How does the book change the way you understand its larger subject?

Editorial framework by Wesley Bryan, BookenDeX Founder and Editor.