Abstract
This paper tackles important problems in stable discretization of commensurate fractional-order continuous-time LTI SISO systems based on the Grünwald-Letnikov (GL) difference. New, analytical stability/instability conditions are given for the GL-discretized systems governed by fractional-order transfer functions. A stability preservation analysis is also performed for a class of finite GL approximators.
Acknowledgements
The author is indebted to Prof. Krzysztof J. Latawiec for his stimulating discussions and to the anonymous reviewers for their instructive comments.
References
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© 2017 Diogenes Co., Sofia
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Articles in the same Issue
- Frontmatter
- Editorial
- FCAA related news, events and books (FCAA–volume 20–1–2017)
- Survey paper
- Ten equivalent definitions of the fractional laplace operator
- Research paper
- Consensus of fractional-order multi-agent systems with input time delay
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- A preconditioned fast finite difference method for space-time fractional partial differential equations
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- Computational solutions of the tempered fractional wave-diffusion equation
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- Research paper
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- A foundational approach to the Lie theory for fractional order partial differential equations
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- New results in stability analysis for LTI SISO systems modeled by GL-discretized fractional-order transfer functions
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- The stretched exponential behavior and its underlying dynamics. The phenomenological approach
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