WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
Permanent URI for this collectionhttps://hdl.handle.net/11147/7150
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Article Citation - WoS: 12Citation - Scopus: 12Uniform Asymptotic and Input To State Stability by Indefinite Lyapunov Functions(Elsevier, 2024) Sahan, Gokhan; Ozdemir, DeryaIn this work, we study uniform, uniform asymptotic, and input -to -state stability conditions for nonlinear timevarying systems. We introduce an easily verifiable condition for uniform attractivity by utilizing an indefinite sign upper bound for the derivative of the Lyapunov function. With this bounding structure, we propose novel conditions that enable us to test uniform stability, uniform asymptotic stability, and ISS, easily. As a result, the constraints on the coefficients of the bound that identify uniformity for stability and attractivity, and many of the available conditions have been relaxed. The results are also used for the perturbation problem of uniformly stable and uniformly asymptotically stable linear time -varying systems. Consequently, we demonstrate that uniform asymptotic stability of nonlinear time -varying systems can be robust for perturbations, but with special time -varying coefficients.Conference Object Citation - WoS: 1Citation - Scopus: 4Uniform Asymptotic Stability by Indefinite Lyapunov Functions(IEEE, 2022) Sahan, Gokhan; Ozdemir, DeryaIn this work, we consider Uniform Asymptotic Stability (UAS) of nonlinear time-varying systems. We utilize an indefinite signed polynomial of Lyapunov Function (LF) for the upper bound of the derivative of LF. This special bound is especially useful for perturbation problems. Compared to the ones in the literature we improve the upper bound of the LF and its related properties. Since UAS is the first step for input to state stability (ISS) and integral ISS, it should be thought that these improvements will give rise to new advances in real-world applications as well.