Calculus of Variations and Optimal Control: Technion 1998 [1 ed.] 1584880244, 9781584880240
The calculus of variations is a classical area of mathematical analysis-300 years old-yet its myriad applications in sci
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English Pages 280 [278] Year 1999
Table of contents :
Cover
Half Title
Series Page
Title Page
Copyright Page
Preface
Contents
Variational limits constrained by measure-valued multifunctions
New fundamentals of Young measure convergence
A condition of Legendre type for optimal control problems, linear in the control
A characterization of Lipschitzian stability in optimal control
Some remarks on the time optimal control problem in infinite dimension
Hamilton-Jacobi equations for infinite horizon control problems with state constraints
Limits of control problems with weakly converging nonlocal input operators
Heavy balls minimizing convex function in conditional average
Calculus of variations and optimal control
Existence theorems in nonconvex optimal control
Second-order conditions for broken extremal
Critical points in relaxed deposit problems
Convex locally compact extensions of Lebesgue spaces and their applications
Problems with delayed and shifted controls
Cover
Half Title
Series Page
Title Page
Copyright Page
Preface
Contents
Variational limits constrained by measure-valued multifunctions
New fundamentals of Young measure convergence
A condition of Legendre type for optimal control problems, linear in the control
A characterization of Lipschitzian stability in optimal control
Some remarks on the time optimal control problem in infinite dimension
Hamilton-Jacobi equations for infinite horizon control problems with state constraints
Limits of control problems with weakly converging nonlocal input operators
Heavy balls minimizing convex function in conditional average
Calculus of variations and optimal control
Existence theorems in nonconvex optimal control
Second-order conditions for broken extremal
Critical points in relaxed deposit problems
Convex locally compact extensions of Lebesgue spaces and their applications
Problems with delayed and shifted controls
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