Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form
Laila, Dina Shona and Nesic, Dragan (2005) Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form. Automatica, 41, (11), 1891-1903. (doi:10.1016/j.automatica.2005.06.003).
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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).
|Subjects:||T Technology > TK Electrical engineering. Electronics Nuclear engineering|
|Divisions:||Faculty of Engineering and the Environment > Engineering Sciences > Electro-Mechanical Research Group
|Date Deposited:||15 Nov 2011 16:26|
|Last Modified:||10 May 2012 15:33|
|Contributors:||Laila, Dina Shona (Author)
Nesic, Dragan (Author)
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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