Powers of SPR functions and preservation properties (Q1873143)
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scientific article; zbMATH DE number 1912414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Powers of SPR functions and preservation properties |
scientific article; zbMATH DE number 1912414 |
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Powers of SPR functions and preservation properties (English)
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19 May 2003
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Some properties of strictly positive real (SPR) functions are studied. Conditions are derived under which strict positive realness of specific rational transfer functions is preserved under composition, substitution of variables or exponentiation to integer powers. The authors claim that the results may have applications in robust or adaptive control of linear systems, but the very few examples provided in the paper are hardly convincing.
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linear systems
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adaptive and robust stabilization
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strictly positive real functions
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rational transfer functions
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composition
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substitution of variables
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exponentiation of integer powers
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adaptive control
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0.8709548711776733
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0.8276336789131165
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