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CHANGING SUPPLY RATES FOR INPUT-OUTPUT TO STATE STABLE DISCRETE-TIME SYSTEMS
Dina Shona Laila and Dragan Nešić
The Department of Electrical and Electronic Engineering,
The University of Melbourne, Parkville, 3010, Victoria, Australia
E-mail: {dsl, d.nesic}@ee.mu.oz.au.
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.
Keywords: Discrete-time systems; Sampled-data systems; Lyapunov function; Nonlinear control; Stability; Cascade control
Session slot T-Th-A07: Nonlinear Discrete Time Systems I/Area code 2c : Non-linear Systems
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