Sign-In
Cart
Fixed-Point Methods for Fractional-Order Systems: Nonlinear Estimation and Control
Hardcover
Series: Understanding Complex Systems
Technology & EngineeringGeneral MathematicsGeneral Science
ISBN13: 9783032309693
Publisher: Springer
Published: Sep 13 2026
Pages: 195
Language: English
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.
Also from
Martínez-Guerra, Rafael
Encryption and Decryption Algorithms for Plain Text and Images Using Fractional Calculus
Montesinos-García, Juan Javier
Flores-Flores, Juan Pablo
Martínez-Guerra, Rafael
Hardcover
Fault-Tolerant Control and Diagnosis for Integer and Fractional-Order Systems: Fundamentals of Fractional Calculus and Differential Algebra with Real-
Meléndez-Vázquez, Fidel
Trejo-Zúñiga, Iván
Martínez-Guerra, Rafael
Hardcover
Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint
Martínez-Guerra, Rafael
Cruz-Ancona, Christopher Diego
Hardcover
Encryption and Decryption Algorithms for Plain Text and Images Using Fractional Calculus
Flores-Flores, Juan Pablo
Martínez-Guerra, Rafael
Montesinos-García, Juan Javier
Paperback
Fault-Tolerant Control and Diagnosis for Integer and Fractional-Order Systems: Fundamentals of Fractional Calculus and Differential Algebra with Real-
Meléndez-Vázquez, Fidel
Trejo-Zúñiga, Iván
Martínez-Guerra, Rafael
Paperback
An Approach to Multi-Agent Systems as a Generalized Multi-Synchronization Problem
Flores-Flores, Juan Pablo
Martínez-Guerra, Rafael
Hardcover
Advances in Synchronization of Coupled Fractional Order Systems: Fundamentals and Methods
Pérez-Pinacho, Claudia Alejandra
Martínez-Guerra, Rafael
Hardcover
Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint
Martínez-Guerra, Rafael
Cruz-Ancona, Christopher Diego
Paperback
Synchronization of Integral and Fractional Order Chaotic Systems: A Differential Algebraic and Differential Geometric Approach with Selected Applicati
Pérez-Pinacho, Claudia A.
Gómez-Cortés, Gian Carlo
Martínez-Guerra, Rafael
Paperback
Advances in Synchronization of Coupled Fractional Order Systems: Fundamentals and Methods
Pérez-Pinacho, Claudia Alejandra
Martínez-Guerra, Rafael
Paperback
Algebraic and Differential Methods for Nonlinear Control Theory: Elements of Commutative Algebra and Algebraic Geometry
Martínez-Fuentes, Oscar
Montesinos-García, Juan Javier
Martínez-Guerra, Rafael
Paperback
Synchronization of Integral and Fractional Order Chaotic Systems: A Differential Algebraic and Differential Geometric Approach with Selected Applicati
Pérez-Pinacho, Claudia A.
Gómez-Cortés, Gian Carlo
Martínez-Guerra, Rafael
Hardcover
Also in
General Science
How It All Works: All Scientific Laws and Phenomena Illustrated & Demonstrated
Dant, Adam
Clegg, Brian
Hardcover
The Code Breaker: Jennifer Doudna, Gene Editing, and the Future of the Human Race
Isaacson, Walter
Hardcover
The Little Book of Big Explorations: Adventures Into the Unknown That Changed Everything
Osman, Jheni
Paperback
A Bird's IQ: Innovation, Intelligence, and Problem Solving in the Avian World
Lefebvre, Louis
Hardcover
Ancient Astrology in Theory and Practice: A Manual of Traditional Techniques, Volume I: Assessing Planetary Condition
George, Demetra
Paperback
5 Steps to a 5: AP Biology 2027: Practice AP Tests + AP Content Review + Digital Exams
Burris, Kelcey
Anestis, Mark
Paperback
The Quantum Power of GLP-1 Peptides: Unlocking the Science that Leads to Lasting Weight Loss and Optimal Healthspan
Seeds, William A.
Paperback
Reference Manual of Woody Plant Propagation: From Seed to Tissue Culture
Dirr, Michael A.
Heuser, Charles W., Jr.
Paperback
The Eureka Machine: Why AI Is the Key to Unlocking a New Era of Scientific Discoveries
Socher, Richard
Hardcover
Elledge's Nontrivial Trivia: The Seriously Enlightening Stories Behind Supposedly Simple Facts
Elledge, Jonn
Paperback
The Ultimate Guide to Rebuilding a Civilization: A Technical Manual for the Post-Collapse Era
Evans, James
Paperback
Force of Nature: Understanding Evolution's Deepest Logic-And Putting It to Use
Jones, Owen D.
Hardcover
Judas Dentistry: How Dentists Scorn Science, Break the Hippocratic Oath, and Wreck Their Patients' Minds and Bodies
Yoho, (Ret) Robert
Paperback
You Look Like a Thing and I Love You: How Artificial Intelligence Works and Why It's Making the World a Weirder Place
Shane, Janelle
Paperback
Liquid Rules: The Delightful and Dangerous Substances That Flow Through Our Lives
Miodownik, Mark
Paperback
The New Guys: The Historic Class of Astronauts That Broke Barriers and Changed the Face of Space Travel
Bagby, Meredith
Paperback
Science in Seconds for Kids: Over 100 Experiments You Can Do in Ten Minutes or Less
Potter, Jean
Stier, Samuel Cord
Paperback
Baked to Perfection: Winner of the Fortnum & Mason Food and Drink Awards 2022
Cermelj, Katarina
Hardcover
When the Forest Breathes: Renewal and Resilience in the Natural World (Large Print Edition)
Simard, Suzanne
Paperback
Stay Curious and Keep Exploring: 50 Amazing, Bubbly, and Creative Science Experiments to Do with the Whole Family
Calandrelli, Emily
Hardcover
Notes on Complexity: A Scientific Theory of Connection, Consciousness, and Being
Theise, Neil
Paperback
Designing for People: An Introduction to Human Factors Engineering
Boyle, Linda Ng
Wickens, Christopher D.
Liu, Yili
Paperback
Kobuk the Destroyer: And Other Tales from the Wild, Unseen World of Test Engineering
Davies, Alex
Hardcover
Gray's Anatomy (Deluxe Leatherbound Edition): Anatomy Descriptive and Surgical
Gray, Henry, Frs
Hardcover
The Next Big Thing: Innovations for a Better, Smarter, Stronger Tomorrow
Trefil, James
Marciano, Rob
Hardcover
180 Days(tm) Science for Sixth Grade: Practice, Assess, Diagnose
Homayoun, Lauren
Bayne, Bebra
Paperback
Think in Systems: The Art of Strategic Planning, Effective Problem Solving, And Lasting Results
McKey, Zoe
Paperback
Why Nobody Understands Quantum Physics: The Story of the Science That Shapes Our World
Verstraete, Frank
Broeckaert, Céline
Hardcover
Stuff Matters: Exploring the Marvelous Materials That Shape Our Man-Made World
Miodownik, Mark
Paperback
The Salmon Cannon and the Levitating Frog: And Other Serious Discoveries of Silly Science
York, Carly Anne
Hardcover
The Physics of Wall Street: A Brief History of Predicting the Unpredictable
Weatherall, James Owen
Paperback
Outer Space Is Closer Than Antarctica: And Other Things I Learned While Falling in Love at the Bottom of the World
Ott, Michelle
Hardcover
They Had Names: Tracing the History of the North American Indigenous People
Jeanson, Nathaniel
Hardcover
Allies for Awakening: Guidelines for productive and safe experiences with entheogens
Metzner, Ralph
Paperback
The Peptide Protocols: Exploring the Science for Human Optimization: Exploring the
Smith, W. T.
Paperback
Pseudoscience: An Amusing History of Crackpot Ideas and Why We Love Them
Kang, Lydia
Pedersen, Nate
Hardcover
The Theoretical Minimum: What You Need to Know to Start Doing Physics
Hrabovsky, George
Susskind, Leonard
Paperback
The Autobiography of Nikola Tesla and Other Works (Deluxe Leatherbound Edition)
Tesla, Nikola
Martin, Thomas Commerford
Hardcover
The Radioactive Boy Scout: The Frightening True Story of a Whiz Kid and His Homemade Nuclear Reactor
Silverstein, Ken
Paperback
Counterclockwise: Using Peptides to Renew, Rejuvenate, and Rediscover (Large Print Edition)
Ferree, Suzanne J.
Hardcover
Signals from the Subatomic World: How to Build a Proton Precession Magnetometer
Hollos, Richard
Hollos, Stefan
Paperback
Labwork to Leadership: A Concise Guide to Thriving in the Science Job You Weren't Trained for
Heemstra, Jen
Hardcover
The One Thing You Need to Know: The Simple Way to Understand the Most Important Ideas in Science
Chown, Marcus
Paperback
The Pale Blue Data Point: An Earth-Based Perspective on the Search for Alien Life
Willis, Jon
Hardcover
Is This an Agate?: An Illustrated Guide to Lake Superior's Beach Stones Michigan
Robinson, Susan
Paperback
Elementary Science Education: Building Foundations of Scientific Understanding, Vol. II, grades 3-5, 2nd ed.
Nebel, Bernard J.
Paperback
Avoiding the Great Filter: Illuminating Pathways to Humanity's Future in the Cosmos
Jiang, Jonathan H.
Rosen, Philip E.
Hardcover
GED Test Prep - Science & Social Studies: A Quickstudy Laminated Reference Guide
Berg Scherer, Rachel
Miskevich, Frank
Other
Middle School Science Education: Building Foundations of Scientific Understanding, Vol. III, Grades 6-8
Nebel, Bernard J.
Paperback
Life in Sync: The Science of Internal Clocks and How We're Disrupting Them
Gander, Philippa
Hardcover
Ether Day: The Strange Tale of America's Greatest Medical Discovery and the Haunted Men Who Made It
Fenster, J. M.
Paperback
Lottery Manifestation: HOW TO WIN THE LOTTERY 100% GUARANTEED Or Your Money Back!!!: Lottery Books: Proven Methods And Strategies Using THE L
Secrets, Powerball Money
Paperback
Physics of the Impossible: A Scientific Exploration Into the World of Phasers, Force Fields, Teleportation, and Time Travel
Kaku, Michio
Paperback
180 Days(tm) Geography for Fourth Grade: Practice, Assess, Diagnose
Aracich, Chuck
Aracich, Charles
Paperback
Science and Cooking: Physics Meets Food, from Homemade to Haute Cuisine
Brenner, Michael
Sörensen, Pia
Weitz, David
Hardcover
Hunt for the Skinwalker: Science Confronts the Unexplained at a Remote Ranch in Utah
Knapp, George
Kelleher, Colm A.
Paperback
Art-Science Undisciplined: A Playbook for Transformative Collaboration
Balasubramanian, Janani
Gosnell, Natalie
Paperback
Reactions: An Illustrated Exploration of Elements, Molecules, and Change in the Universe
Gray, Theodore
Paperback
Storytime Stem: Nursery Rhymes: 10 Favorite Rhymes with Hands-On Investigations
Rhodes, Immacula
Rhodes, Immacula A.
Paperback
The Forgotten Sense: The New Science of Smell--And the Extraordinary Power of the Nose
Olofsson, Jonas
Hardcover