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1.

図書
図書
1. Convex analysis and variational problems (: us ; : ne)
Ivar Ekeland, Roger Temam
出版情報: Amsterdam : North-Holland Pub. Co. , New York : distributors for the U.S.A., American Elsevier Pub. Co., 1976  ix, 402 p. ; 23 cm
シリーズ名: Studies in mathematics and its applications ; v. 1
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2.

図書
図書
2. Infinite dimensional optimization and control theory (: pbk)
H.O. Fattorini
出版情報: Cambridge : Cambridge University Press, 1999  xv, 798 p. ; 25 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 62
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目次情報: 続きを見る
Finite Dimensional Control Problems / Part I：
Calculus of variations and control theory / 1：
Optimal control problems without target conditions / 2：
Abstract minimization problems: the minimum principle for the time optimal problem / 3：
Abstract minimization problems: the minimum principle for general optimal control problems / 4：
Infinite Dimensional Control Problems / Part II：
Differential equations in Banach spaces and semigroup theory / 5：
Abstract minimization problems in Hilbert spaces: applications to hyperbolic control systems / 6：
Abstract minimization problems in Banach spaces: abstract parabolic linear and semilinear equations / 7：
Interpolation and domains of fractional powers / 8：
Linear control systems / 9：
Optimal control problems with state constraints / 10：
Optimal control problems with state constraints: The abstract parabolic case / 11：
Relaxed Controls / Part III：
Spaces of relaxed controls: topology and measure theory / 12：
Relaxed controls in finite dimensional systems: existence theory / 13：
Relaxed controls in infinite dimensional spaces: existence theory / 14：
Finite Dimensional Control Problems / Part I：
Calculus of variations and control theory / 1：
Optimal control problems without target conditions / 2：
3.

図書
図書
3. Calculus of variations and optimal control
A.A. Milyutin, N.P. Osmolovskii
出版情報: Providence, R.I. : American Mathematical Society, c1998  xii, 372 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 180
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First order conditions: First order conditions
Theory of a weak minimum for the problem on a fixed time interval
Theory of the maximum principle
Extremals and the Hamiltonian of a control system
Hamilton-Jacobi equation and field theory
Transformations of problems and invariance of extremals
Quadratic conditions: Quadratic conditions and conjugate points for broken extremals
Quadratic conditions for a Pontryagin minimum and sufficient conditions for a strong minimum: Proofs
Quadratic conditions in the general problem of the calculus of variations and related optimal control problems
Investigation of extremals by quadratic conditions: Examples
Bibliography
First order conditions: First order conditions
Theory of a weak minimum for the problem on a fixed time interval
Theory of the maximum principle
4.

図書
図書
4. Relaxation in optimization theory and variational calculus
Tomáš Roubiček
出版情報: Berlin ; New York : Walter de Gruyter, 1997  xiv, 474 p. ; 25 cm
シリーズ名: De Gruyter series in nonlinear analysis and applications ; 4
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5.

図書
図書
5. Recent developments in well-posed variational problems
edited by Roberto Lucchetti and Julian Revalski
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1995  viii, 266 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 331
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6.

図書
図書
6. Stories about maxima and minima
V.M. Tikhomirov ; translated from the Russian by Abe Shenitzer
出版情報: Providence, R.I. : American Mathematical Society, c1990  xi, 187 p. ; 26 cm
シリーズ名: Mathematical world ; v. 1
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目次情報: 続きを見る
Ancient maximum and minimum problems / Part 1：
Why do we solve maximum and minimum problems?
The oldest problem-Dido's problem Maxima and minima in nature ( optics$)$
Maxima and minima in geometry
Maxima and minima in algebra and in analysis Kepler's problem
The brachistochrone Newton's aerodynamical problem
Methods of solution of extremal problems / Part 2：
What is a function?
What is an extremal problem?
Extrema of functions of one variable
Extrema of functions of many variables
Lagrange's principle More problem solving
What happened later in the theory of extremal problems?
More accurately, a discussion
Ancient maximum and minimum problems / Part 1：
Why do we solve maximum and minimum problems?
The oldest problem-Dido's problem Maxima and minima in nature ( optics$)$
7.

図書
図書
7. Optimization theory : the finite dimensional case
Magnus R. Hestenes
出版情報: New York : Wiley, 1975  xiii, 447 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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8.

図書
図書
8. Optimization by variational methods
[by] Morton M. Denn
出版情報: New York : McGraw-Hill, [1969]  xvi, 419 p. ; 23 cm
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9.

図書
図書
9. Infinite-dimensional optimization and convexity (pbk.)
Ivar Ekeland, Thomas Turnbull
出版情報: Chicago : University of Chicago Press, 1983  viii, 166 p. ; 21 cm
シリーズ名: Chicago lectures in mathematics
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目次情報: 続きを見る
Foreword
The Caratheodory Approach / Chapter I：
Optimal Control Problems / 1：
Hamiltonian Systems / 2：
Infinite-dimensional Optimization / Chapter II：
The Variational Principle
Strongly Continuous Functions on LP-spaces
Smooth Optimization in L2 / 3：
Weak Topologies / 4：
Existence Theory for the Calculus of Variations / 5：
Duality Theory / Chapter III：
Convex Analysis
Subdifferentiability
Necessary Conditions and Duality Theory
Non-convex Duality Theory
Applications of Duality to the Calculus of Variations
Relaxation / 6：
Theory Notes
References
Foreword
The Caratheodory Approach / Chapter I：
Optimal Control Problems / 1：
10.

図書
図書
10. Optimization, theory and applications : problems with ordinary differential equations (: us ; : gw)
Lamberto Cesari
出版情報: New York : Springer-Verlag, c1983  xiv, 542 p. ; 24 cm
シリーズ名: Applications of mathematics ; 17
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