Title :
Further Input-to-State Stability Subtleties for Discrete-Time Systems
Author :
Lazar, Mircea ; Heemels, W.P.M.H. ; Teel, A.R.
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands
Abstract :
This technical note considers input-to-state stability analysis of discrete-time systems using continuous Lyapunov functions. The main result reveals a relation between existence of a continuous Lyapunov function and inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K∞-continuous, the result applies to unbounded sets as well.
Keywords :
Lyapunov methods; continuous systems; discrete time systems; perturbation techniques; stability; K∞-continuous; compact set; continuous Lyapunov function; discrete-time system; inner perturbation; input-to-state stability subtlety; outer perturbation; Asymptotic stability; Cognition; Control systems; Lyapunov methods; Predictive control; Robustness; Stability analysis; Discontinuous systems; Lyapunov methods; discrete-time; input-to-state stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2012.2231611
