Set-valued, convex, and nonsmooth analysis are relatively modern branches of mathematical analysis and increasingly relevant in current control theory and control engineering literature. The first book of this scope and at this level, Set-Valued, Convex, and Nonsmooth Analysis in Dynamics and Control serves as a broad introduction to the field and to applications in dynamical and control systems. Continuous-time and discrete-time multivalued dynamics, modeled by differential and difference inclusions, are treated next to one another and often interchangeably.
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Rafal Goebel is Professor in the Department of Mathematics and Statistics at Loyola University Chicago, which he joined in 2008. He has held postdoctoral positions in the Departments of Mathematics at University of British Columbia and Simon Fraser University in Vancouver and in the Electrical and Computer Engineering Department of University of California Santa Barbara. His research interests include convex, set-valued, and nonsmooth analysis; dynamical and control systems theory, including hybrid dynamical systems and optimal control; mountains; and optimisation.
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