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Proof of the Pontryagin maximum principle
1991Abstract We now have to justify the PMP, which we stated in Chapter 6 and extended in Chapter 7. First we show that the PMP applied to linear autonomous time-optimal control problems is identical to the maximum principle TOP established in Part A. Then we outline the proof of the PMP in its basic form as defined in Chapter 6.
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Pontryagin’s Maximum Principle for Multidimensional Control Problems
1993A weak maximum principle is shown for general problems $${\text{minimize}}\,f\left( {x,{\text{ }}w} \right)\,\,{\text{on }}{X_0} \times {X_{\text{1}}}\,{\text{with respect to}}\,linear\,{\text{state constraints}}\,{A_0}x = {A_{\text{1}}}w$$ in Banach spaces X 0 and local convex topological vector spaces X 1, where f(x, •) is a convex functional ...
Rolf Klötzler, Sabine Pickenhain
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Proof of the maximum principle of Pontryagin
1993Abstract We now turn to the proof of Theorem 4.1, the Pontryagin maximum principle. The reader may find it helpful to read the outline proof in Chapter 4 before starting this chapter.
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An overview of precision oncology basket and umbrella trials for clinicians
Ca-A Cancer Journal for Clinicians, 2020Kristian Thorlund, Edward J Mills
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Defect activity in metal halide perovskites with wide and narrow bandgap
Nature Reviews Materials, 2021Yang Zhou +2 more
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Understanding ligand-protected noble metal nanoclusters at work
Nature Reviews Materials, 2023María Francisca Matus, Hannu Häkkinen
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Cancer, COVID-19 and the precautionary principle: prioritizing treatment during a global pandemic
Nature Reviews Clinical Oncology, 2020Timothy Hanna +2 more
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Covalent Organic Frameworks: Design, Synthesis, and Functions
Chemical Reviews, 2020Keyu Geng, Ting He, Ruoyang Liu
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Electroceramics for High-Energy Density Capacitors: Current Status and Future Perspectives
Chemical Reviews, 2021, Zhilun Lu, Linhao Li
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Regularizing properties of Pontryagin’s maximum principle
Russian Mathematics, 2008M. I. Sumin, E. V. Trushina
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