Nonsmooth Analysis and Control Theory

The book "Nonsmooth Analysis and Control Theory" provides a comprehensive introduction to nonsmooth analysis, a field that has gained significance in recent decades. It highlights the relevance of non-differentiable phenomena across various disciplines such as functional analysis, optimization, mechanics, and control theory. The content is clearly structured and encompasses both theoretical foundations and practical applications. The authors present the essential concepts of nonsmooth analysis in an understandable manner and offer numerous interesting exercises that deepen comprehension. The introductory section provides an overview of the topics that will be addressed later and illustrates the relevance of the field. The subsequent chapters offer a coherent and comprehensive approach to nonsmooth analysis, concluding with an independent introduction to the control of ordinary differential equations. The integration of new findings and the clarification of relationships between different schools of thought make this work a valuable resource for students and professionals engaged in functional analysis.