Titlebook: Nonsmooth Analysis and Control Theory; F. H. Clarke,Yu. S. Ledyaev,R. R. Wolenski Book 1998 Springer Science+Business Media New York 1998

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Proximal Calculus in Hilbert Space,al normals are direction vectors pointing outward from a set, generated by projecting a point onto the set. Proximal subgradients have a certain local support property to the epigraph of a function. It is a familiar device to view a function as a set (through its graph), but we develop the duality b

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Generalized Gradients in Banach Space,veloped in an arbitrary Banach space .. In this chapter we make a fresh start in such a setting, but this time, in contrast to Chapter 1, we begin with functions and not sets. We present the basic results for the class of . functions. Then the associated geometric concepts are introduced, including

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Special Topics,complement, those of the preceding chapters, and several of them address problems discussed in the Introduction. This is the case, for example, of the first section on constrained optimization. Some of the results of §§5 and 6 will be called upon in Chapter 4.

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A Short Course in Control Theory,en dynamical system. The goal can be either geometric (keep the state of the system in a given set, or bring it toward the set), or functional (find the trajectory that is optimal relative to a given criterion). More specific issues arise subsequently, such as the construction of feedback control me

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978-1-4757-7167-1Springer Science+Business Media New York 1998

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Nonsmooth Analysis and Control Theory978-0-387-22625-5Series ISSN 0072-5285 Series E-ISSN 2197-5612

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Special Topics,complement, those of the preceding chapters, and several of them address problems discussed in the Introduction. This is the case, for example, of the first section on constrained optimization. Some of the results of §§5 and 6 will be called upon in Chapter 4.

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Graduate Texts in Mathematicshttp://image.papertrans.cn/n/image/667874.jpg

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