This self-contained monograph describes basic set-theoretic methods and provides a discussion of their links to fundamental problems in control. The work presents several established and potentially new applications, along with numerical examples and case studies. Mathematical language is kept to a minimum necessary for the adequate formulation and statement of main concepts. Numerical algorithms in MATLAB and C++ are available online.
Set-Theoretic Methods in Control is accessible to readers familiar with the basics of systems and control theory. The text provides a solid foundation of mathematical techniques and applications and also features avenues for further theoretical study. Aimed primarily at graduate students and researchers in applied mathematics and engineering, the book will also appeal to practitioners since it contains extensive references to the literature and supplies many recipes for solving significant control problems.