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Fixed-Point Methods for Fractional-Order Systems: Nonlinear Estimation and Control.
・ISBN 978-3-032-30969-3 hard EUR 149.99
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| 著者・編者 | Martinez-Guerra, Rafael / Oliva-Gonzalez, Lorenz, |
|---|---|
| シリーズ | (Understanding Complex Systems) |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2026 |
| ページ数 | 195 pp. |
| 言語 | ENG |
| ニュース番号 | <A05-76258> |
解説
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.