251. STABILITY THEORY, NONLINEAR.
- Author
-
Khalil, Hassan K. and Shaw, Steven W.
- Subjects
NONLINEAR systems ,SYSTEMS engineering ,NONLINEAR theories ,SYSTEM analysis ,EIGENVALUES ,SYSTEMS design - Abstract
The article focuses on nonlinear stability theory. Stability analysis plays a central role in systems engineering. There are two general notions of stability that arise in the study of dynamical systems: input-output stability and stability of a particular response or a set of responses. The steady-state behavior of a system is described by the asymptotic nature of solutions as time becomes large. For nonlinear systems, this will depend on the system as well as on the initial conditions provided. Before leaving the topic of local bifurcations it should be noted that if several parameters are being simultaneously varied, one can encounter situations in which several eigenvalues simultaneously have zero real parts.
- Published
- 1999