Relative Optimization of Continuous-Time and Continuous-State Stochastic Systems
Language: English
Published by Springer, 2020
Series: Book 61 of 65 - Communications and Control Engineering
- Hardcover
- New
Seller: Revaluation Books, Exeter, United KingdomRevaluation Books
AbeBooks seller since January 6, 2003
Condition: New
£ 199.24
Quantity: 1 available
Add to basketItem description from seller
365 pages. 9.25x6.10x0.70 inches. In Stock.
Seller Inventory # x-3030418456
- Title
- Relative Optimization of Continuous-Time and Continuous-State Stochastic Systems
- Author
- Cao, Xi-Ren (Author)
- Publisher
- Springer
- Publication year
- 2020
- Condition
- Brand New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3030418456
- ISBN 13
- 9783030418458
- Item weight
- 0.91 kilograms
- Series
- Book 61 of 65: Communications and Control Engineering
This monograph applies the relative optimization approach to time nonhomogeneous continuous-time and continuous-state dynamic systems. The approach is intuitively clear and does not require deep knowledge of the mathematics of partial differential equations. The topics covered have the following distinguishing features: long-run average with no under-selectivity, non-smooth value functions with no viscosity solutions, diffusion processes with degenerate points, multi-class optimization with state classification, and optimization with no dynamic programming.
The book begins with an introduction to relative optimization, including a comparison with the traditional approach of dynamic programming. The text then studies the Markov process, focusing on infinite-horizon optimization problems, and moves on to discuss optimal control of diffusion processes with semi-smooth value functions and degenerate points, and optimization of multi-dimensional diffusion processes. The book concludes with a brief overview of performance derivative-based optimization.
Among the more important novel considerations presented are:
- the extension of the Hamilton–Jacobi–Bellman optimality condition from smooth to semi-smooth value functions by derivation of explicit optimality conditions at semi-smooth points and application of this result to degenerate and reflected processes;
- proof of semi-smoothness of the value function at degenerate points;
- attention to the under-selectivity issue for the long-run average and bias optimality;
- discussion of state classification for time nonhomogeneous continuous processes and multi-class optimization; and
- development of the multi-dimensional Tanaka formula for semi-smooth functions and application of this formula to stochastic control of multi-dimensional systems with degenerate points.
The book will be of interest to researchers and students in the field of stochastic control andperformance optimization alike.
"Synopsis" may belong to another edition of this title.
About the Author
Professor Xi-Ren Cao gained his Masters degree in engineering and PhD in applied mathematics from Harvard University in 1982 and 1984 respectively. He has worked in an academic position at numerous institutions, including as a visiting professor at both the University of Massachusetts and the University of Maryland, a chair professor at the Hong Kong University of Science and Technology, and his current position of Chair Professor at Shanghai Jiao Tong University. He has published 125 peer-reviewed journal papers, 12 invited book chapters, and three books in areas related to stochastic and discrete control. He was Editor-in-Chief for Discrete Event Dynamic Systems: Theory and Applications from 2005 to 2014. He has extensive industrial experiences with Digital Equipment Corporation, Massachusetts, and AT&T Labs. He is Fellow of IEEE and IFAC.
"About the title" may belong to another edition of this title.
Revaluation Books
Exeter, United Kingdom
AbeBooks seller since January 6, 2003
Shipping rates from United Kingdom to U.S.A.
| Item | 7 to 14 business days | 2 to 3 business days |
|---|---|---|
| First item | £ 12.50 | £ 25.00 |
Payment methods
Seller's business information
Edward Bowditch Ltd
Exstowe, Exton
Exeter, United Kingdom EX3 0PP
Terms of sale
Legal entity name: Edward Bowditch Ltd
Legal entity form: Limited company
Business correspondence address: Exstowe, Exton, Exeter, EX3 0PP
Company registration number: 04916632
VAT registration: GB834241546
Authorised representative: Mr. E. Bowditch
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to Revaluation Books, Hounslow, United Kingdom, without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.
Shipping terms
Orders usually dispatched within two working days.