The robust maximum principle : theory and applications
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The work The robust maximum principle : theory and applications represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
The robust maximum principle : theory and applications
Resource Information
The work The robust maximum principle : theory and applications represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 The robust maximum principle : theory and applications
 Title remainder
 theory and applications
 Statement of responsibility
 by Vladimir G. Boltyanski, Alexander S. Poznyak
 Subject

 Control
 Control theory  Mathematical models
 Control theory  Mathematical models
 Control theory  Mathematical models
 Engineering
 Engineering mathematics
 MATHEMATICS  Applied
 MATHEMATICS  Probability & Statistics  General
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Mathematics
 Models, Theoretical
 Systems Theory
 Systems Theory, Control
 Systems theory
 Vibration
 Vibration, Dynamical Systems, Control
 Calculus of Variations and Optimal Control; Optimization
 Language
 eng
 Summary
 Both refining and extending previous publications by the authors, the material in this¡monograph has been classtested in mathematical institutions throughout the world. Covering some of the key areas of optimal control theory (OCT)a rapidly expanding field that has developed to analyze the optimal behavior of a constrained process over timethe authors use new methods to set out a version of OCT's more refined¡'maximum principle' designed to solve the problem of constructing optimal control strategies for uncertain systems where some parameters are unknown. Referred to as a 'minmax' problem, this type of difficulty occurs frequently when dealing with finite uncertain sets. The text begins with a standalone section that reviews classical optimal control theory, ¡covering¡the principal topics of the¡maximum principle and dynamic programming and considering the important subproblems of linear quadratic optimal control and time optimization. Moving on to examine the tent method in detail, the book then¡presents its core material, which is a more robust maximum principle for both deterministic and stochastic systems.¡The results obtained¡have applications¡in production planning, reinsurancedividend management, multimodel sliding mode control, and multimodel differential games. Key features and topics include: * A version of the tent method in Banach spaces * How to apply the tent method to a generalization of the KuhnTucker Theorem as well as the Lagrange Principle for infinitedimensional spaces * A detailed consideration of the minmax linear quadratic (LQ) control problem * The application of obtained results from dynamic programming derivations to multimodel sliding mode control and multimodel differential games * Two examples, dealing with production planning and reinsurancedividend management, that illustrate the use of the robust maximum principle in stochastic systems Using powerful new tools in optimal control theory, The Robust Maximum Principle explores material that will be of great interest to postgraduate students, researchers, and practitioners in applied mathematics and engineering, particularly in the area of systems and control
 Cataloging source
 GW5XE
 Dewey number
 519.6
 Index
 index present
 LC call number
 QA402.5
 LC item number
 .B65 2012eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Systems & control : foundations & applications
Context
Context of The robust maximum principle : theory and applicationsWork of
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