2nd Edition

Sets and Stability Domains Time-Varying Nonlinear Systems

By Lyubomir T. Gruyitch Copyright 2026
248 Pages 20 B/W Illustrations
by CRC Press

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... Read more

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  

Biography

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). \