Asset Details
Do you wish to reserve the book?
Lyapunov-Based Analysis of Partial Practical Stability in Tempered Fractional Calculus
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Lyapunov-Based Analysis of Partial Practical Stability in Tempered Fractional Calculus
Do you wish to request the book?
Lyapunov-Based Analysis of Partial Practical Stability in Tempered Fractional Calculus
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
Lyapunov-Based Analysis of Partial Practical Stability in Tempered Fractional Calculus
2025
Overview
This study presents a comprehensive Lyapunov-based framework for analyzing partial practical stability in nonlinear tempered fractional-order systems (TFOS). We develop novel stability concepts including β*-practical uniform generalized Mittag–Leffler stability (β*-PUGMLS) and β*-practical uniform exponential stability (β*-PUES) with respect to system substates. Through carefully constructed Lyapunov functions, we establish sufficient conditions under which the system’s states converge to a predefined neighborhood of the origin. The theoretical framework provides Mittag–Leffler and exponential stability criteria for tempered fractional-order systems, extending classical stability theory to this important class of systems. Furthermore, we apply these stability results to design stabilizing feedback controllers for a specific class of triangular TFOS, demonstrating the practical utility of our theoretical developments. The efficacy of the proposed stability criteria and control strategy is validated through several illustrative examples, showing that system states converge appropriately under the derived conditions. This work contributes significantly to the stability theory of fractional-order systems and provides practical tools for controlling complex nonlinear systems in the tempered fractional calculus framework.
Publisher
MDPI AG
Subject
