Adaptive Nussbaum Design for Nonlinear Dynamical Systems - Hardcover

Yang, Yongliang; Liu, Guilong; Li, Qing

Hardcover

ISBN 10: 9819549965 ISBN 13: 9789819549962

Publisher: Springer, 2026

Synopsis

This book focuses on the challenges of stability analysis and control synthesis for nonlinear dynamical systems, including stochastic systems, multi-agent systems, and nonholonomic systmes. With the adaptive Nussbaum design, this book investigates the asymptotic stabilization problem for nonlinear systems, addressing practical constraints such as physical limitations on system states to ensure safety. Furthermore, this book develops fixed-time stable design to enhance the dynamic performance, with strategies compensating for modeling inaccuracies and external disturbances. In addition, the adaptive Nussbaum design is extended to distributed bipartite consensus design for multi-agent systems and resilient feedback design for nonholonomic systems subject to false data injection. Given the scope, the book offers an essential reference guide for researchers and engineers working on advanced nonlinear system control, as well as a valuable resource for upper-level undergraduate and graduate students.

About this title

About the Author

Yongliang Yang received the B.S. degree in electrical engineering from Hebei University, Baoding, China, in 2011, and the Ph.D. degree in control theory and control engineering from the University of Science and Technology Beijing (USTB), Beijing, China, in 2018. From 2015 to 2017, he was a Visiting Scholar with the Missouri University of Science and Technology, Rolla, MO, USA, sponsored by China Scholarship Council. He was an Assistant Professor with USTB from 2018 to 2020. From 2020, he was UM Macao Fellow with the State Key Laboratory of Internet of Things for Smart City, Faculty of Science and Technology, University of Macau. He was the Marie Skłodowska-Curie Research Fellow with the School of Engineering, University of Warwick from 2023. He is currently an Associate Professor with USTB. His research interests include reinforcement learning theory, robotics, distributed optimization and control for cyber-physical systems. He was a recipient of the Best Ph.D. Dissertation of the China Association of Artificial Intelligence, the Best Ph.D. Dissertation of USTB, Chancellor's Scholarship in USTB, Excellent Graduates Awards in Beijing, UM Macao Talent Program in Macau, and MSCA Fellowship in Europe. He is an Associate Editor for IEEE Transactions on Neural Networks and Learning Systems.

Guilong Liu received the B.E. degree in automation in 2022 and the M.E. degree in control science and technology in 2025 from University of Science and Technology Beijing, Beijing, China. His current research interests include intelligent control for robots.

 

Qing Li received the B.E. degree in industrial electrical automation from the North China University of Science and Technology, Tangshan, China, in 1993, and the Ph.D. degree in control theory and its applications from the University of Science and Technology Beijing, Beijing, China, in 2000. He is currently a Professor with the School of Automation and Electrical Engineering, University of Science and Technology Beijing. He has been a Visiting Scholar with Ryerson University, Toronto, ON, Canada, from February 2006 to February 2007. His research interests include intelligent control and intelligent optimization.

From the Back Cover

This book focuses on the challenges of stability analysis and control synthesis for complex nonlinear dynamical systems, including stochastic systems, multi-agent systems, and nonholonomic motion planning.  With Nussbaum design,  it introduces readers to the asymptotic stability problem for nonlinear systems, addressing practical constraints such as physical limitations on system states to ensure robustness. Furthermore, It presents readers with fixed-time stability for enhancing dynamic performance, with strategies that compensate for modeling inaccuracies and external disturbances. Then, the results are extended to multi-agent coordination, including consensus and bipartite consensus, and advanced feedback designs for nonholonomic systems to overcome motion constraints and ensure stability. Given its scope, the book offers an essential reference guide for researchers and engineers working on advanced nonlinear system control, as well as a valuable resource for upper-level undergraduate and graduate students.

Edition details

• Publisher: Springer
• Publication date: 2026
• Language: English
• ISBN 10: 9819549965
• ISBN 13: 9789819549962
• Binding: Hardcover
• Number of pages: 215