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- Title
Asymptotical stabilization of fuzzy semilinear dynamic systems involving the generalized Caputo fractional derivative for q∈(1,2).
- Authors
An, Truong Vinh; Lupulescu, Vasile; Hoa, Ngo Van
- Abstract
In this study, the asymptotical stabilization problem of fuzzy fractional dynamic systems (FFDSs) with the semilinear form under the granular Caputo fractional derivative for the case q ∈ (1 , 2) is investigated. To tackle this, we propose a linear feedback controller aimed at stabilizing the unstable states of FFDSs. Taking advantage of the generalized fractional Laplace-like transform (GFLT) and the Gronwall-Bellman inequality, we provide a simple method to evaluate the stability of fractional dynamical systems. Finally, we validate the effectiveness of our approach through examples and corresponding simulations.
- Subjects
DYNAMICAL systems; GRONWALL inequalities; CAPUTO fractional derivatives; STABILITY of linear systems
- Publication
Fractional Calculus & Applied Analysis, 2024, Vol 27, Issue 3, p1186
- ISSN
1311-0454
- Publication type
Article
- DOI
10.1007/s13540-024-00268-2