Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems

Tunç O., Tunç C., Wang Y.

AXIOMS, cilt.10, sa.3, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3390/axioms10030138
  • Dergi Adı: AXIOMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: system of DDEs, uniformly asymptotically stability, integrability, boundedness at infinity, Lyapunov-Krasovskii functional, multiple time-varying delay, EQUATIONS, BOUNDEDNESS
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This paper deals with non-perturbed and perturbed systems of nonlinear differential systems of first order with multiple time-varying delays. Here, for the considered systems, easily verifiable and applicable uniformly asymptotic stability, integrability, and boundedness criteria are obtained via defining an appropriate Lyapunov-Krasovskii functional (LKF) and using the Lyapunov-Krasovskii method (LKM). Comparisons with a former result that can be found in the literature illustrate the novelty of the stability theorem and show new contributions to the qualitative theory of solutions. A discussion of two illustrative examples and the obtained results are presented.