We present results on changing supply rates for input-output to state stable (IOSS) discrete-time nonlinear systems. Our results can be used to combine two Lyapunov functions, none of which can be used to verify that the system has a certain property, into a new Lyapunov function from which the property of interest can be concluded. We present two applications of our results to discrete-time systems, i.e. a LaSalle criterion for input to state stability (ISS) and input to state stability with positive semidefinite Lyapunov functions.
|Publication status||Published - 2002|
|Event||15th World Congress of the International Federation of Automatic Control: IFAC 2002 - Barcelona, Spain|
Duration: 21 Jul 2002 → 26 Jul 2002
Conference number: 15
|Conference||15th World Congress of the International Federation of Automatic Control|
|Abbreviated title||IFAC 2002|
|Period||21/07/02 → 26/07/02|
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- Discrete-time systems
- Sampled-data systems
- Lyapunov function
- Nonlinear control
- Cascade control