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Piermarco Cannarsa
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دانلود کتاب Semiconcave functions, Hamilton-Jacobi equations, and optimal control
by Piermarco Cannarsa|
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عنوان فارسی: توابع Semiconcave، معادلات هامیلتون-ژاکوبی، و کنترل بهینه |
دانلود کتاب
جزییات کتاب
Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications. This text is the first comprehensive exposition of the theory of semiconcave functions, and of the role they play in optimal control and Hamilton-Jacobi equations. The first part covers the general theory, encompassing all key results and illustrating them with significant examples. The latter part is devoted to applications concerning the Bolza problem in the calculus of variations and optimal exit time problems for nonlinear control systems. The exposition is essentially self-contained since the book includes all prerequisites from convex analysis, nonsmooth analysis, and viscosity solutions.
کتاب های مرتبط
Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control
Piermarco Cannarsa, Carlo Sinestrari (auth.), 2004 
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