"This work develops the methodology according to which classes of discontinuous functions are used in order to investigate a correctness of boundary-value and initial boundary-value problems for the cases with elliptic, parabolic, pseudoparabolic, hyperbolic, and pseudohyperbolic equations and with elasticity theory equation systems that have nonsmooth solutions, including discontinuous solutions." "This book is intended for specialists in applied mathematics, scientific researchers, engineers, and postgraduate students interested in optimal control of heterogeneous distributed systems with states described by boundary-value and initial boundary-value problems."--Jacket. Read more... Preface.- Control of Systems Described by Elliptic-Type Partial-Differential Equations Under Conjugation Conditions.- Control of a Conditionally Correct System Described by the Neumann Problem for an Elliptic-Type Equation Under Conjugation Conditions.- Control of a System Described by a One-Dimensional Quartic Equation Under Conjugation Conditions.- Control of a System Described by a Two-Dimensional Quartic Equation Under Conjugation Conditions.- Control of a System Described by a Parabolic Equation Under Conjugation Conditions.- Control of a System Described by a Parabolic Equation in the Presence of Concentrated Heat Capacity.- Control of a System Described by a Pseudoparabolic Equation Under Conjugation Conditions.- Control of a System Described by a Hyperbolic Equation Under Conjugation Conditions.- Control of a System Described by a Pseudohyperbolic Equation Under Conjugation Conditions.- Optimal Control of a Deformed Complicated Solid Body State.- References
Author(s): Ivan Vasilʹevich Sergienko; V S Deĭneka; Naum Zuselevich Shor
Series: Nonconvex optimization and its applications, v. 75
Publisher: Kluwer Academic Publishers
Year: 2005
Language: English
Pages: 400
City: Boston ; Dordrecht
Tags: Автоматизация;Теория автоматического управления (ТАУ);Книги на иностранных языках;