Nonsmooth Analysis and Control Theory

✍ Scribed by Francis H. Clarke, Yuri S. Ledyaev, Ronald J. Stern, Peter R. Wolenski

Publisher: Springer
Year: 1997
Tongue: English
Leaves: 293
Series: Graduate Texts in Mathematics
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

A clear and succinct presentation of the essentials of this subject, together with some of its applications and a generous helping of interesting exercises. Following an introductory chapter with a taste of what is to come, the next three chapters constitute a course in nonsmooth analysis and identify a coherent and comprehensive approach to the subject, leading to an efficient, natural, and powerful body of theory. The whole is rounded off with a self-contained introduction to the theory of control of ordinary differential equations. The authors have incorporated a number of new results which clarify the relationships between the different schools of thought in the subject, with the aim of making nonsmooth analysis accessible to a wider audience. End-of-chapter problems offer scope for deeper understanding.

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