Titlebook: Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control; Piermarco Cannarsa,Carlo Sinestrari Textbook 2004 Birkhäuser Boston

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1421-1750 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..978-0-8176-4336-2978-0-8176-4413-0Series ISSN 1421-1750 Series E-ISSN 2374-0280

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Hamilton-Jacobi Equations, in Chapter 1 how the dynamic programming approach leads to the analysis of a Hamilton–Jacobi equation and other examples will be considered in the remainder of the book. However, our point of view in this chapter will be to study Hamilton–Jacobi equations for their intrinsic interest without referring to specific applications.

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1421-1750 imal control problems, by leading experts in the field.A cen.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 semicon

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Semiconcave Functions,f the definition and some basic examples, while the next chapters deal with generalized differentials and singularities. At this stage we study semiconcave functions without referring to specific applications; later in the book we show how the results obtained here can be applied to Hamilton–Jacobi

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Hamilton-Jacobi Equations,her fields of mathematics. Our interest in these equations lies mainly in the connection with calculus of variations and optimal control. We have seen in Chapter 1 how the dynamic programming approach leads to the analysis of a Hamilton–Jacobi equation and other examples will be considered in the re