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Sets and Stability Domains: Time-Varying Nonlinear Systems
Hardcover
Technology & EngineeringGeneral Mathematics
ISBN13: 9781041251446
Publisher: CRC Press
Published: Oct 29 2026
Pages: 230
Language: English
The book establishes a unified stability theory for general time-varying nonlinear systems, based on the consistent stability methodology. This theoretical work broadens and generalizes stability theory beyond the existing Lyapunov stability framework, permitting the dependence of stability properties on the initial instant of the system. The book focuses on the stability domains of positive invariant sets, which can include equilibrium states, limit cycles, or any positive invariant set of the system.
- Contributes new concepts, definitions of sets and system features
- Aims to open new directions for research in the stability theory as an essential introduction to the tracking theory and enables new various engineering applications.
- Includes time-varying and nonlinear nature of the systems which ensures the generality of the concepts, definitions, conditions and criteria
This book is aimed towards professors, researchers, engineers and advanced students in mathematics, physics, dynamical systems science, control science and engineering.
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