Norm-Based Stability Conditions for Neutral Systems with Discrete Delays


FAYDASIÇOK Ö., ARIK S.

5th International Conference on Robotics, Computer Vision and Intelligent Systems, ROBOVIS 2025, Porto, Portekiz, 25 - 27 Şubat 2025, cilt.2629 CCIS, ss.265-274, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2629 CCIS
  • Doi Numarası: 10.1007/978-3-032-00986-9_18
  • Basıldığı Şehir: Porto
  • Basıldığı Ülke: Portekiz
  • Sayfa Sayıları: ss.265-274
  • Anahtar Kelimeler: Discrete delays terms, Lyapunov theorems, Matrix theory, Neutral systems, Stability analysis
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

This research article deals with stability problems for neutral systems possessing discrete time delay terms in state variables and discrete neutral delay terms in time derivative of state variables. By analysing some suitable Lyapunov functional candidates, we derive a set of new norm-based conditions that determine global stability of neutral systems involving discrete delay terms. The proposed norm-based global asymptotic stability conditions impose some constraints on the norms of the constant system matrices independently of the delay parameters. We will give a numerical example of neutral systems to demonstrate the feasibility of proposed stability criteria. Since deriving sufficient stability criteria for linear neutral systems including discrete delay terms in the system equations is a difficult task to achieve, the stability conditions proposed in this research article can be considered as beneficial contributions to the topic of stability of neutral systems.