The discrete nonlinear nonstationary lossless systems: Stabilization and feedback equivalence (Q2784673)
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scientific article; zbMATH DE number 1732903
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The discrete nonlinear nonstationary lossless systems: Stabilization and feedback equivalence |
scientific article; zbMATH DE number 1732903 |
Statements
16 October 2002
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passive systems
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nonstationary systems
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stabilizability
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discrete systems
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limiting equations
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limiting Lyapunov functions
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feedback equivalence
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lossless system
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The discrete nonlinear nonstationary lossless systems: Stabilization and feedback equivalence (English)
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The author is interested in nonlinear, nonstationary, discrete systems of the form NEWLINE\[NEWLINE\begin{cases} x(k+1)= f\bigl(k,x(k)\bigr)+ g\bigl( k,x(k)\bigr) u(k)\\ y(k)=h\bigl( k,x(k)\bigr)+ J\bigl(k,x(k)\bigr) u(k). \end{cases}NEWLINE\]NEWLINE Under the assumption that the system is passive (more precisely, lossless), and using the method of limiting equations and limiting Lyapunov functions, he gives a result about asymptotic equi- and uniform-stabilizability. Then he solves the problem of characterizing feedback equivalence between an arbitrary system and a lossless system with the same structure.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00016].
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