小缺点
发表于 2025-3-21 17:31:50
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不能妥协
发表于 2025-3-21 22:23:22
The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solut= .(.), is linked in time to the application of a control function, . = .(.), by means of the solution to an ordinary differential equation whose right-hand side is shaped by the control. We now consider multidimensional systems in which both the state and the control variables no longer need to be
公理
发表于 2025-3-22 00:38:30
The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Con setting. It is somewhat technical, but provides a uniform treatment of .. As a result, we not only prove Theorem 2.2.1, but obtain a general high-order version of the maximum principle (e.g., see ) from which we then derive the high-order necessary conditions for optimality that were introduce
Cervical-Spine
发表于 2025-3-22 08:14:53
The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum,m the first-order necessary conditions for optimality of a controlled trajectory (aside from the much stronger minimum condition on the Hamiltonian that generalizes the Weierstrass condition of the calculus of variations). Clearly, as in ordinary calculus, first-order conditions by themselves are no
ATOPY
发表于 2025-3-22 10:10:15
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capillaries
发表于 2025-3-22 14:36:20
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capillaries
发表于 2025-3-22 17:08:18
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朦胧
发表于 2025-3-22 21:39:57
,Ideenintensivierung und -fortführung,sfies the Hamilton–Jacobi–Bellman equation in regions where this flow covers an open set of the state injectively (.-space in the time-invariant case, respectively (., .)-space in the time-dependent case).
Ligneous
发表于 2025-3-23 03:52:22
Stephan Güsken,Gero Ritzenhöfer a point. If the reachable sets are known exactly, not only necessary conditions, but complete solutions can be obtained for related optimal control problems (e.g., the time-optimal control problem). In general, determining these sets is as difficult a problem as solving an optimal control problem.
圆桶
发表于 2025-3-23 09:32:54
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