Course Content
Introduction to nonlinear systems; analysis by phase plane and describing function methods. Lyapunov stability theory. The Lure problem: Popov`s method, circle criterion. Hyperstability. Hamiltonian, Lagrangian and gradient systems: physical examples and analysis. Stability of Hamiltonian systems. Periodic systems: Floquet-Lyapunov theory, Krein`s stability theorem.
Text / References
- 1 011V. M. Popov : Hyperstability of control systems. Springer Grundleheren series, 1970.2.011M. Vidyasagar, Nonlinear systems analysis. 2nd Edition. Prentice Hall, 1993.3.011Y. A. Yakubovitch and V. M. Starzhinskii, Linear differential equations with periodic coefficients. Wiley, 1975.