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The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin's maximum principle. [PDF]
J Math Biol, 2016 This paper should be read as addendum to Dieckmann et al. (J Theor Biol 241:370–389, 2006) and Parvinen et al. (J Math Biol 67: 509–533, 2013). Our goal is, using little more than high-school calculus, to (1) exhibit the form of the canonical equation of
Metz JAJ, Staňková K, Johansson J.
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Geometric Approach to Pontryagin’s Maximum Principle [PDF]
Acta Applicandae Mathematicae, 2008 Since the second half of the 20th century, Pontryagin’s Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, finance, engineering, astronomy.
M. Barbero-Liñán, M. Muñoz-Lecanda
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Testing a General Theory for Optimal Flowering Time in Deciduous Perennial Plants as a Function of Growing Season Length. [PDF]
Ecol LettClimate change affects both the start and duration of growing seasons, creating complex effects on optimal flowering timing that go beyond simple responses to earlier springs. Using optimal energy allocation theory, we found a nonlinear relationship between growing season length and optimal flowering time which was supported by two experiments with ...
Park JS +3 more
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Pontryagin’s maximum principle for constrained impulsive control problems
Nonlinear Analysis: Theory, Methods & Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Arutyunov, D. Karamzin, F. Pereira
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Application of Pontryagin's maximum principle to quantum metrology in dissipative systems [PDF]
Physical Review A, 2022 Optimal control theory, also known as Pontryagin’s Maximum Principle, is applied to the quantum parameter estimation in the presence of decoherence. An efficient procedure is devised to compute the gradient of quantum Fisher information with respect to the
Chungwei Lin, Yanting Ma, Dries Sels
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Mathematics, 2022 In this work, we consider robotic systems for which the mass tensor is identified to be the metric in a Riemannian manifold. Cost functional invariance is achieved by constructing it with the identified metric.
Juan Antonio Rojas-Quintero +2 more
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Mean-Field Pontryagin Maximum Principle [PDF]
Journal of Optimization Theory and Applications, 2017 We derive a Maximum Principle for optimal control problems with constraints given by the coupling of a system of ODEs and a PDE of Vlasov-type. Such problems arise naturally as $Γ$-limits of optimal control problems subject to ODE constraints, modeling, for instance, external interventions on crowd dynamics.
Bongini, Mattia +3 more
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Pontryagin maximum principle and Stokes theorem [PDF]
Journal of Geometry and Physics, 2019 We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer problem. This approach is crucially based on the Stokes Theorem and yields to a necessary and sufficient condition that characterizes the optimal solutions, from which the classical Pontryagin Maximum Principle is derived in a new insightful way.
Cardin F., Spiro A.
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Optimal Control and Pontryagin's Maximum Principle
Encyclopedia of Systems and Control, 2015 R. Vinter
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Pontryagin Maximum Principle for Distributed-Order Fractional Systems [PDF]
Mathematics, 2021 We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove a strong necessary optimality condition of Pontryagin type. The possibility that admissible controls are subject to pointwise constraints is new and requires more sophisticated techniques to include a maximality condition ...
Faïçal Ndaïrou, Delfim F. M. Torres
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