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Published on: November 24, 2021
Formal modeling and verification of fractional order linear systems
Chunna Zhao1, Likun Shi2, Yong Guan2
1School of Information Science and Engineering, Yunnan University, Kunming 650091, China.
Abstract:
This paper presents a formalization of a fractional order linear system in a higher-order logic (HOL) theorem proving system. Based on the formalization of the Grünwald-Letnikov (GL) definition, we formally specify and verify the linear and superposition properties of fractional order systems. The proof provides a rigor and solid underpinnings for verifying concrete fractional order linear control systems. Our implementation in HOL demonstrates the effectiveness of our approach in practical applications.
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