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作者 Schättler, Heinz M., 1956-
書名 Geometric optimal control : theory, methods and examples / Heinz Schättler, Urszula Ledzewicz
出版項 New York : Springer, c2012
國際標準書號 9781461438335
1461438330
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA402.3 S33 2012    在架上    30340200524258
說明 xix, 640 p. : ill. ; 24 cm
系列 Interdisciplinary applied mathematics ; 38
Interdisciplinary applied mathematics ; 38
附註 1. The calculus of variations: a historical perspective -- 2. The Pontryagin maximum principle: from necessary conditions to the construction of an optimal solution -- 3. Reachable sets of linear time-invariant systems: from convex sets to the bang-bang theorem -- 4. The high-order maximum principle: from approximations of reachable sets to high-order necessary conditions for optimality -- 5. The method of characteristics: a geometric approach to sufficient conditions for a local minimum -- 6. Synthesis of optimal controlled trajectories: from local to global solutions -- 7. Control-affine systems in low dimensions: from small-time reachable sets to time-optimal syntheses -- A: A review of some basic results from advanced calculus -- B: Ordinary differential equations -- C. An introduction to differentiable manifolds -- D: Some facts from real analysis
Includes bibliographical references and index
主題 Control theory
Control theory -- Mathematical models
Alt Author Ledzewicz, Urszula
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