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

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A Geometric Approach to the Optimal Control of Nonholonomic Mechanical Systems,r, we aim to minimize a cost functional, given initial and final conditions where the controlled dynamics are given by a nonholonomic mechanical system. In our paper, the controlled equations are derived using a basis of vector fields adapted to the nonholonomic distribution and the Riemannian metri

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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 ex

教唆

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 equatio

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完整

Second-Order Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Conmissible 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

拋射物

Optimal Control of Cancer Treatments: Mathematical Models for the Tumor Microenvironment,ccount. 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

宴會(huì)

C. García-Mateo,D. Docampo-Amoedoad to the correct dynamics. Application of the theory is demonstrated through several examples including optimal control of the Chaplygin sleigh, a continuously variable transmission, and a problem of motion planning for obstacle avoidance.

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https://doi.org/10.1007/978-3-540-72613-5 embedding of the problem into a class of infinite dimensional mathematical programming type problems. As an application we derive new second-order necessary conditions for a free end-time optimal control problem in the case when an optimal control is piecewise Lipschitz.