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01104 am a22001333u 4500 |
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203213 |
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|a dc
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|a Laila, Dina Shona
|e author
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|a Nesic, Dragan
|e author
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|a Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form
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|c 2005-11.
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|z Get fulltext
|u https://eprints.soton.ac.uk/203213/1/dslaa_auto_2005.pdf
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|a Input-to-state stability (ISS) of a parameterized family of discrete-time time-varying nonlinear systems is investigated. A converse Lyapunov theorem for such systems is developed. We consider parameterized families of discrete-time systems and concentrate on a semiglobal practical type of stability that naturally arises when an approximate discrete-time model is used to design a controller for a sampled-data system. An application of our main result to time-varying periodic systems is presented, and this is used to solve a robust stabilization problem, namely to design a control law for systems in power form yielding semiglobal practical ISS (SP-ISS).
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