Viability theory

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Published 2009 by Birkhäuser in Boston .
Written in

Subjects:

• Differential inclusions,
• Set-valued maps,
• Feedback control systems

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Edition Notes

Statement	Jean-Pierre Aubin.
Series	Modern Birkhäuser classics
Classifications
LC Classifications	QA371 .A95 2009
The Physical Object
Pagination	xxvii, 543 p. ;
Number of Pages	543
ID Numbers
Open Library	OL23941568M
ISBN 10	9780817649098
LC Control Number	2009926481

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Introduction

If you are a legal professional seeking to broaden your understanding of differential inclusions, set-valued maps, and feedback control systems, then the book Viability Theory by Jean Pierre Aubin is an essential resource. Published in 2009, this groundbreaking book delves into the theoretical foundations of viability theory and its applications. In this article, we will explore the key concepts covered in this book and how it can benefit legal professionals.

Overview

Viability Theory provides a comprehensive exploration of differential inclusions, a mathematical concept used to describe dynamic systems that evolve over time. The book presents the theory and applications of these inclusions, with an emphasis on providing rigorous mathematical foundations. By leveraging set-valued maps and feedback control systems, Aubin offers a fresh perspective on tackling complex problems related to viability and sustainability.

Key Concepts

The book delves into the key concepts of viability theory, including:

• Differential inclusions: These are mathematical expressions used to describe the evolution of dynamic systems.
• Set-valued maps: These maps extend traditional single-valued maps to handle more complex relationships between variables.
• Feedback control systems: Aubin explores the role of feedback in maintaining system viability and achieving stable outcomes.

Aubin provides detailed explanations and examples to ensure readers grasp the fundamental principles behind these concepts. With a strong focus on mathematical rigor, the book equips legal professionals with the tools necessary to apply viability theory to real-world legal challenges.

Benefits for Legal Professionals

Viability Theory offers numerous benefits for legal professionals, including:

• Enhanced problem-solving capabilities: By understanding the concepts presented in the book, legal professionals can approach complex legal problems with a fresh perspective and develop innovative solutions.
• Better decision-making: Using viability theory, legal professionals can make informed decisions based on a deeper understanding of the dynamic systems at play.
• Improved risk assessment: The book provides insights into assessing the viability and sustainability of legal strategies, allowing professionals to identify potential risks and take appropriate actions.

Overall, Viability Theory serves as a valuable resource for legal professionals seeking to expand their expertise and gain a deeper understanding of differential inclusions, set-valued maps, and feedback control systems.

Conclusion

With its comprehensive exploration of viability theory, Viability Theory by Jean Pierre Aubin is an indispensable resource for legal professionals looking to enhance their problem-solving capabilities and make more informed decisions. Whether you are a legal professional interested in the theory itself or are looking to apply it to real-world legal challenges, this book provides the necessary foundation for success.