Input to State Stability
The notion of input to state stability (ISS) qualitatively describes stability of the mapping from initial states and inputs to internal states (and more generally outputs). This entry focuses on the definition of ISS and a discussion of equivalent characterizations.
KeywordsInput to state stability Lyapunov functions Dissipation Asymptotic stability
- Khalil HK (1996) Nonlinear systems, 2nd edn. Prentice-Hall, Upper Saddle RiverGoogle Scholar
- Krstić M, Kanellakopoulos I, Kokotović PV (1995) Nonlinear and adaptive control design. Wiley, New YorkGoogle Scholar
- Sontag ED (1999) Stability and stabilization: discontinuities and the effect of disturbances. In: Nonlinear analysis, differential equations and control (Montreal, 1998). NATO science series C, Mathematical and physical sciences, vol 528. Kluwer Academic, Dordrecht, pp 551–598Google Scholar
- Sontag ED (2006) Input to state stability: basic concepts and results. In: Nistri P, Stefani G (eds) Nonlinear and optimal control theory. Springer, Berlin, pp 163–220Google Scholar