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# Formal proof of the small-gain theorem by interactive theorem proving

software

posted on 2020-02-04, 12:01 authored by Omar Ahmad Jasim, Sandor VeresThis is source code of the formal proof of the Small-gain theorem in Isabelle/HOL theorem prover. This code is part of the paper "Towards Formal Proofs of Feedback Control Theory" presented in System Theory, Control and Computing (ICSTCC) conference published in IEEE - DOI: 10.1109/ICSTCC.2017.8107009

Note: Put both files "L2Norm_Integral.thy" and
"Minkowski_Integral_Inequality.thy" in the main Isabelle's directory
before loading the main theorem file "Small_Gain_Theorem.thy".

## Funding

### EP/L024942/1

## History

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## Data description

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## Methodology, headings and units

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