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Titlebook: Analysis and Geometry in Control Theory and its Applications; Piernicola Bettiol,Piermarco Cannarsa,Franco Rampa Book 2015 Springer Intern

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Signals and Communication Technologyntroduced a Riemannian metric associated to the energy minimizing orbital transfer with low propulsion. The aim of this article is to study the deformation of this metric due to a standard perturbation in space mechanics, the lunar attraction. Using Hamiltonian formalism, we describe the effects of
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https://doi.org/10.1007/978-3-662-06728-4m of a differential inclusion. Our first result is a sensitivity relation which guarantees the propagation of the proximal subdifferential of . along any optimal trajectory. Then, we obtain the local .. regularity of the minimum time function along optimal trajectories by using such a relation to ex
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https://doi.org/10.1007/978-3-540-72613-5missible controls are supposed to be measurable and essentially bounded. Using second order tangents to ., we first show that if . is an optimal control, then an associated quadratic functional should be nonnegative for all elements in the second order jets to . along .. Then we specify the obtained
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https://doi.org/10.1007/978-3-540-72613-5ccount. The significance of treatment protocols that administer agents at less than maximum tolerated dose rates is analyzed in this context. When angiogenic signaling or tumor immune system interactions are included in the model, singular controls that administer therapeutic agents at less than max
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Conjugate Times and Regularity of the Minimum Time Function with Differential Inclusions,m of a differential inclusion. Our first result is a sensitivity relation which guarantees the propagation of the proximal subdifferential of . along any optimal trajectory. Then, we obtain the local .. regularity of the minimum time function along optimal trajectories by using such a relation to exclude the presence of conjugate times.
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Weak Solutions for First Order Mean Field Games with Local Coupling,tion can be used to devise .−Nash equilibria for deterministic differential games with a finite (but large) number of players. For smooth data, the first component of the weak solution of the MFG system is proved to satisfy (in a viscosity sense) a time-space degenerate elliptic differential equation.
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