Nonlinear small-gain theorems for discrete-time feedback systems and applications (Q705202)
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scientific article; zbMATH DE number 2131103
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear small-gain theorems for discrete-time feedback systems and applications |
scientific article; zbMATH DE number 2131103 |
Statements
Nonlinear small-gain theorems for discrete-time feedback systems and applications (English)
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26 January 2005
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In this work a local nonlinear small-gain theorem is established in the framework of input-to-state stability for discrete-time systems. As in the continuous-time context, these discrete-time nonlinear small-gain theorems are effective in stability analysis and synthesis for various classes of discrete-time control systems. Two converse Lyapunov theorems for discrete exponential stability are developed to assist these applications.
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discrete-time nonlinear systems
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input-to-state stability
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small-gain theorems
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stabilization
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