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The Pontryagin Maximum Principle
Theorem (PontryaginMaximum Principle). Suppose a final time T and controlstate pair (û, x̂) on [τ, T ] give the minimum in the problem above; assume that û is piecewise continuous. Then there exist a vector of Lagrange multipliers (λ0, λ) ∈ R × R with λ0 ≥ 0 and a piecewise smooth function p: [τ, T ] → R n such that the function ĥ(t) def =H(t, x̂(t), p(t), û(t)) is piecewise smooth, and one has ̇̂ ...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1997
ISSN: 0022-0396
DOI: 10.1006/jdeq.1996.3211