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Sets and Stability Domains: Time-Varying Nonlinear Systems de Lyubomir T. Gruyitch

Sets and Stability Domains: Time-Varying Nonlinear Systems

Autor Lyubomir T. Gruyitch
en Limba Engleză Hardback – 23 iul 2026
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.
  1. Contributes new concepts, definitions of sets and system features
  2. 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.
  3. 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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Specificații

ISBN-13: 9781041251446
ISBN-10: 1041251440
Pagini: 232
Ilustrații: 40
Dimensiuni: 156 x 234 mm
Ediția:2. Auflage
Editura: CRC Press
Colecția CRC Press

Public țintă

General

Cuprins

1 Introduction  2. Time  3. Sets  4. Systems  5. Stability, time and sets  6. Stability domains concept  7. Stability and domains  8. Attraction and domains  9. Asymptotic stability and domains  10. General consideration  11. Time-invariant sets and functions  12. Consistent stability methodology basis  13. Asymptotic stability criteria  

Notă biografică

Mr. Lyubomir T. Gruyitch is Certified Mechanical Engineer (Dipl. M. Eng.), Master of Electrical Engineering Sciences (M. E. E. Sc.), and Doctor of Engineering Sciences (D. Sc.) (All with the University of Belgrade, Serbia). He started to work at the Faculty of Mechanical Engineering (FME) in Belgrade as Instructor (1964), continued as Assistant (1964), Assistant Professor (1974), Associate Professor (1979) and (Full) Professor (1992); in USA as visiting Research associate (University of Santa Clara, 1971), as invited Visiting Professor (Notre Dame University, 1988/1989), as elected Visiting Professor (Louisiana State University, 1989/1990). He became AЕCI Professor in Durban, South Africa (University of Natal, 1992), and in France as Professor of French Universities (Ecole Nationale d`Ingénieures, 1993), University of Technology Belfort-Montbéliard 1999 – 2007). \

Descriere

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.