Lorenz Oliva-Gonzalez: Fixed-Point Methods for Fractional-Order Systems, Gebunden

Klappentext

This book presents recent advances in the estimation and control of nonlinear fractionalorder systems, viewed through the lens of fixedpoint theory. Fractionalorder models have gained importance for their ability to represent memory, hereditary properties, and complex system behavior with greater fidelity than classical integerorder approaches. Yet the nonlinear nature of these systems introduces analytical and numerical challenges.

The authors address these challenges by developing a unified framework grounded in fixedpoint theory, offering practical tools for stability analysis, numerical approximation, control design, and state estimation. Each chapter explains key concepts using a consistent structure and concludes with realworld examples, including applications in engineering, physics, and biological systems.

Designed for graduate students, researchers, and engineers working in control theory, applied mathematics, and nonlinear dynamics, this book provides a selfcontained and accessible introduction to contemporary methods for analyzing and controlling nonlinear fractionalorder systems.