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Friday, May 8, 2020 | History

2 edition of Optimal control of functional differential equations of neutral type found in the catalog.

Optimal control of functional differential equations of neutral type

by George Alan Kent

  • 104 Want to read
  • 20 Currently reading

Published by Brown University .
Written in English

    Subjects:
  • Mathematics

  • ID Numbers
    Open LibraryOL25241644M

    1. Linear abstract functional differential equation 1 Preliminary knowledge from the theory of linear equations in Banach spaces 1 Linear equation and linear boundary value problem 6 The Green operator 12 Problems lacking the everywhere and unique solvability 20 Continuous dependence on parameters 29 by:   We address the challenging problem of the exponential stability of nonlinear time-varying functional differential equations of neutral type. By a novel approach, we present explicit sufficient conditions for the exponential stability of nonlinear time-varying neutral functional differential : Pham Huu Anh Ngoc, Thai Bao Tran, Cao Thanh Tinh.

    An estimate for the solution of a certain functional-differential equation of neutral type. Nonlinear phenomena in mathematical sciences (Arlington, Tex., ), , Academic Press, New York-London, Chukwu, Ethelbert N. The time optimal control problem of linear neutral functional systems. Functional differential equations of neutral type, or neutral differential equations occur when {,, ,}. Neutral differential equations depend on past and present values of the function, similarly to retarded differential equations, except it .

      In the second part of the book we give an introduction to stochastic optimal control for Markov diffusion processes. Our treatment follows the dynamic pro gramming method, and depends on the intimate relationship between second order partial differential equations of parabolic type and stochastic differential equations. Applied Theory of Functional Differential Equations by V. Kolmanovskii, , available at Book Depository with free delivery worldwide.


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Optimal control of functional differential equations of neutral type by George Alan Kent Download PDF EPUB FB2

This paper deals with optimal control problems for dynamical systems governed by constrained functional-differential inclusions of neutral type.

Such control systems contain time delays not only in state variables but also in velocity variables, which make them essentially more complicated than delay-differential (or differential-difference) by: This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation.

Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques.3/5(1). The present book is devoted to the investigation of the properties of functional-differential inclusions of the form [x dot](t) [is an element of] F(t,[x subscript t],[x dot subscript t]).

Besides the existence theorems, the book is concerned with basic problems of optimal control theory, such as viability, controllability and existence bf optimal trajectories for the systems described by Author: Michal Kisielewicz.

OptimalControlofFunctionalDifferential EquationsofNeutralType by GeorgeAlanKent B.S.,UnitedStatesNavalAcademy _, Thesis.

Optimal control of systems governed by functional differential equations of retarded and neutral type is considered. Problems with function space initial and terminal manifolds are investigated. Existence of optimal controls, regularity, and bang-bang properties are by: Abstract This paper deals with optimal control problems for dynamical systems governed by general functional differential inclusions of neutral type.

select article Chapter 4: Global Stability of Functional Differential Equations of Neutral Type. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation.

Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations. This paper is concerned with optimal control of neutral stochastic functional differential equations (NSFDEs).

The Pontryagin maximum principle is proved for optimal control. Abstract This paper is concerned with optimal control of neutral stochastic functional differential equations (NSFDEs). The Pontryagin maximum principle is proved for optimal control, where the adjoint equation is a linear neutral backward stochastic functional equation of Volterra type (VNBSFE).Cited by: 6.

This paper deals with optimal control problems for dynamical systems governed by constrained functional-differential inclusions of neutral type.

Such control systems contain time-delays not only in state variables but also in velocity variables, which make them essentially more complicated than delay-differential (or differential-difference) by: 8.

Banks and G. Kent, Control of functional differential equation of retarded and neutral type to target sets in function space. SIAM J. Cont (). Banks and M. Jacobs, An attainable set approach to optimal control functional differential equations with function space terminal conditions.

by: 6. This paper deals with optimal control problems for dynamical systems governed by constrained functional-differential inclusions of neutral type. Such control systems contain time-delays not only in state variables but also in velocity variables, which make them essentially more complicated than delay-differential (or differential-difference Author: Boris S Mordukhovich and Lianwen Wang.

An introduction to optimal control of partial differential equations, Part II Fredi Tröltzsch this concept does not yet fit to the needs of optimal control.

Here, the test function must belong to W. 1;1 2 (Q). Later, an adjoint state must be inserted An introduction to optimal control of partial differential equations, Part II. The term functional differential equations (FDE) is used as a syn­ onym for systems with delays 1.

The systematic presentation of these re­ sults and further references can be found in a number of excellent books [2, 15, 22, 32, 34, 38, 41, 45, 50, 52, 77, 78, 81, 93,]. If f 0 and h = 0 then equation (3) is a functional difference equation of retarded type, and in particular, includes dif- ference equations.

For both f and g not identically zero, equation (3) corresponds to a functional differential equation of neutral type.

Indeed, formal differentiation of the equation yields A where f = ag/& + f and kt is File Size: 1MB. Chapters are devoted to stability problems for retarded, neutral and shastic functional differential equations. Problems of optimal control and estimation are considered in Chapters For applied mathematicians, engineers, and physicists whose work involves mathematical modeling of hereditary : $   Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics.

This book discusses the properties of solutions of equations in standard form in the infinite time Edition: 1. Delay and Functional Differential Equations and Their Applications provides information pertinent to the fundamental aspects of functional differential equations and its applications.

This book covers a variety of topics, including qualitative and geometric theory, control theory, Volterra equations, numerical methods, the theory of epidemics Book Edition: 1.

The book provides conditions for controllability and then deduces how big government intervention (compared with private firms' contributions) should be to ensure the possibility of growth. The reader is assumed to be familiar with advanced calculus and to have a working knowledge of ordinary differential equations.

Second-Order Causal Neutral Functional Differential Equations, I, Second-Order Causal Neutral Functional Differential Equations, II, A Neutral Functional Equation with Convolution, Bibliographical Notes, Appendix A On the Third Stage of Fourier Analysis A.1 Introduction, This study presents a discussion of numerical methods for optimal control using an integro-differential equation of singular kernel as a constraint.

The proposed scheme attempts to set the objective to minimize the gap between optimal state and target function for certain period of time. By assuming that control is unbounded, this study proposes a method of feedback Cited by: 2.Chapter 8. Stability of neutral type functional differential equations 1.

Direct Liapunov's method Degenerate Liapunov functionals Stabibty in a first approximation The use of functionals depending on derivatives Instability of NDEs 2. Stability of linear NDEs Linear autonomous NDEs Cited by: