Fixed-Point Methods for Fractional-Order Systems
Nonlinear Estimation and Control
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Beschreibung
This book presents recent advances in the estimation and control of nonlinear fractional‑order systems, viewed through the lens of fixed‑point theory. Fractional‑order models have gained importance for their ability to represent memory, hereditary properties, and complex system behavior with greater fidelity than classical integer‑order 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 fixed‑point 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 real‑world 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 self‑contained and accessible introduction to contemporary methods for analyzing and controlling nonlinear fractional‑order systems.
This book presents recent advances in the estimation and control of nonlinear fractional‑order systems, viewed through the lens of fixed‑point theory. Fractional‑order models have gained importance for their ability to represent memory, hereditary properties, and complex system behavior with greater fidelity than classical integer‑order 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 fixed‑point 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 real‑world 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 self‑contained and accessible introduction to contemporary methods for analyzing and controlling nonlinear fractional‑order systems.
Provides a self‑contained introduction that minimizes the need for additional background research Concludes most chapters with real‑world applications, including examples from engineering and biological systems Presents all chapters in a consistent, reader‑friendly style to support clear understanding
Autor*in
Rafael Martínez-Guerra
Themen in »Fixed-Point Methods for Fractional-Order Systems«
Nonlinear fractional‑order systems Fractional‑order control theory Fractional‑order numerical methods Fixed‑point theory in control Fractional‑order estimators and observers Fixed‑point state estimation Stability analysis of fractional systems Fractional‑order chaotic dynamics Nonlinear dynamics and chaos Fractional‑order controllers