Title :
On robust stability of time-variant discrete-time nonlinear systems with bounded parameter perturbations
Author :
Mandic, Danilo P. ; Chambers, Jonathon A.
Author_Institution :
Sch. of Inf. Syst., East Anglia Univ., Norwich, UK
fDate :
2/1/2000 12:00:00 AM
Abstract :
The upper and lower bounds for asymptotic stability (AS) of a time-variant discrete-time nonlinear system with bounded parameter perturbations are provided. The analysis is undertaken for a class of nonlinear relaxation systems with the saturation nonlinearity of sigmoid type. Based upon the theory of convex polytopes and underlying linear relaxation equation, the bounds of the stability region for such a nonlinear system are derived for every time instant
Keywords :
asymptotic stability; discrete time systems; nonlinear control systems; robust control; time-varying systems; asymptotic stability; bounded parameter perturbations; convex polytopes; linear relaxation equation; nonlinear relaxation systems; robust stability; saturation nonlinearity; sigmoid type; time instant; time-variant discrete-time nonlinear systems; Asymptotic stability; Biomedical signal processing; Convergence; Difference equations; Information systems; Linear systems; Linearity; Nonlinear equations; Nonlinear systems; Robust stability;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
