图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

卷:
卷 52, 2020 卷 51, 2019 卷 50, 2018 卷 49, 2017 卷 48, 2016 卷 47, 2015 卷 46, 2014 卷 45, 2013 卷 44, 2012 卷 43, 2011 卷 42, 2010 卷 41, 2009 卷 40, 2008 卷 39, 2007 卷 38, 2006 卷 37, 2005 卷 36, 2004 卷 35, 2003 卷 34, 2002 卷 33, 2001 卷 32, 2000 卷 31, 1999 卷 30, 1998 卷 29, 1997 卷 28, 1996

自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v46.i8.40
pages 27-37

Optimal Control of Heat Transfer Process

Miroslav M. Kopets
National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev

ABSTRACT

Linear-quadratic problem of optimal control for heat transfer process is under consideration. We assume simultaneous usage of distributed and boundary controls. Author proposed for this problem the Lagrange multipliers method, moreover, the Lagrange function includes not only equations in partial derivatives, but boundary conditions too. For the mentioned problem of optimization the necessary conditions of optimality were obtained. Analysis of these conditions makes it possible to derive the Riccati integro-differential equation.

REFERENCES

  1. Andreyev Yu.N. , Control of finite-dimensional linear objects [in Russian].

  2. Roitenberg Ya.N. , Automatic control [in Russian].

  3. Zhukovskiy V.I., Chikrii A.A. , Linear-quadratic differential games [in Russian].

  4. Polyanin A.D. , Handbook on linear equations of mathematical physics [in Russian].

  5. Sirazetdinov T.K. , Optimization of systems with distributed parameters [in Russian].


Articles with similar content:

Linear-Quadratic Optimal Control Problem for a Hyperbolic System
Journal of Automation and Information Sciences, Vol.47, 2015, issue 2
Miroslav M. Kopets
Matrix Integro-Differential Riccati Equation for Parabolic System
Journal of Automation and Information Sciences, Vol.46, 2014, issue 1
Miroslav M. Kopets
On the Construction of the Optimal Control for a Linear Third Order Equation with a Quadratic Quality Criterion Using the Method of Moments
Journal of Automation and Information Sciences, Vol.48, 2016, issue 8
Mekhriban Mamed kyzy Yaqubova
Optimal System Control Described by a Pseudohyperbolic Equation with Conjugation Conditions
Journal of Automation and Information Sciences, Vol.34, 2002, issue 9
Ivan V. Sergienko, Vasiliy S. Deineka
On Sufficient Solvability Conditions for One Class of Optimization Problems
Journal of Automation and Information Sciences, Vol.42, 2010, issue 5
Vladimir E. Kapustyan, Olga P. Kogut