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 K8-continuous, the result applies to unbounded sets as well.
Original language | English |
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Article number | 6376100 |
Pages (from-to) | 1609-1613 |
Number of pages | 5 |
Journal | IEEE Transactions on Automatic Control |
Volume | 58 |
Issue number | 6 |
DOIs | |
Publication status | Published - Jun 2013 |