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1.

図書
図書
1. 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：
2.

図書
図書
2. Optimal design of control systems : stochastic and deterministic problems
G.E. Kolosov
出版情報: New York : Marcel Dekker, c1999  x, 403 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 221
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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. Global methods in optimal control theory
Vadim F. Krotov
出版情報: New York : Marcel Dekker, c1996  xiv, 384 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 195
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Control Processes
Optimal Control
Problem Bounding and Solving
Functions Sufficient Conditions of Optimality
Some Special Optimal Control Problems
Direct Application of the Sufficient
Optimality Conditions
Sufficient Optimality Conditions and Basic Equations of the Variational Calculus and Optimal
Control Theory
Optimal Feeback Policy Hamilton-Jacobi Method Computer Methods for Successive
Improvements in a ControlProgram Dual Computational
Algorithms for Solving and Optimizing of
Control Processes
Optimal Control
Problem Bounding and Solving
5.

図書
図書
5. Stability and time-optimal control of hereditary systems
E.N. Chukwu
出版情報: Boston ; Tokyo : Academic Press, c1992  xii, 508 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 188
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6.

図書
図書
6. H[∞]-optimal control and related minimax design problems : a dynamic game approach (: us ; : sz)
Tamer Bașar, Pierre Bernhard
出版情報: Boston : Birkhäuser, 1991  xii, 224 p. ; 25 cm
シリーズ名: Systems & control
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7.

図書
図書
7. A unified computational approach to optimal control problems
K.L. Teo, C.J. Goh, and K.H. Wong
出版情報: Harlow, Essex, England : Longman Scientific and Technical , New York : Wiley, 1991  ix, 329 p. ; 25 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 55
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8.

図書
図書
8. Risk-sensitive optimal control
Peter Whittle
出版情報: Chichester ; New York : Wiley, c1990  x, 246 p. ; 24 cm
シリーズ名: Wiley-Interscience series in systems and optimization
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9.

図書
図書
9. Nonlinear controllability and optimal control
edited by H.J. Sussmann
出版情報: New York : M. Dekker, c1990  viii, 472 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 133
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Synthesis, presynthesis, sufficient conditions for optimality and subanalytic sets / H. J. Sussmann
upper and lower semicontinuous differential inclusions - a unified approach / Alberto Bressan
global controllability by nice controls / Kevin A. Grasse
integrability of certain distributions associated with actions on manifolds and applications to control problems / Eduardo D. Sontag
right and left invertibility of nonlinear control systems / Witold Respondek
Bressan
Synthesis, presynthesis, sufficient conditions for optimality and subanalytic sets / H. J. Sussmann
upper and lower semicontinuous differential inclusions - a unified approach / Alberto Bressan
global controllability by nice controls / Kevin A. Grasse
10.

図書
図書
10. Optimal control : linear quadratic methods
Brian D.O. Anderson, John B. Moore
出版情報: Englewood Cliffs, N.J. ; Tokyo : Prentice Hall, c1990  xi, 380 p. ; 25 cm
シリーズ名: Prentice-Hall information and system sciences series
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