Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Volume 68, Issue 10, Pages 3246-3250Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2021.3063914
Keywords
Asymptotic stability; Stability criteria; Lyapunov methods; Circuit stability; Laplace equations; Circuits and systems; Numerical stability; Nabla fractional order systems; Lyapunov method; asymptotic stability; boundedness; attractiveness; nabla Laplace transform
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Funding
- National Natural Science Foundation of China [61601431]
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The Lyapunov method is a powerful tool for studying the stability of dynamic systems. This paper focuses on the boundedness of nonlinear nabla fractional order systems and derives two stability criteria using the nabla Laplace transform. Two numerical examples are provided to evaluate the effectiveness and practicability of the theoretical results.
Lyapunov method is a powerful tool for studying the stability of dynamic systems while existing work mainly focuses on the asymptotic stability and rarely concerns the boundedness. Under this background, this brief aims to discuss the boundedness of nonlinear nabla fractional order systems. By employing the nabla Laplace transform, two stability criteria in form of Lyapunov theorem are derived. Finally, two numerical examples are provided to evaluate the effectiveness and practicability of the theoretical results.
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