Stability of perturbed dynamic system on time scales with initial time difference | Zendy

Coşkun Yakar | Zendy; Bülent Oğur | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stability of perturbed dynamic system on time scales with initial time difference

Author(s) -

Coşkun Yakar,

Bülent Oğur

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1307-67

Subject(s) - stability (learning theory) , mathematics , instability , exponential stability , control theory (sociology) , lyapunov function , dynamic equation , mathematical analysis , physics , computer science , mechanics , nonlinear system , control (management) , quantum mechanics , machine learning , artificial intelligence

The behavior of solutions of a perturbed dynamic system with respect to an original unperturbed dynamic system, which have initial time difference, are investigated on arbitrary time scales. Notions of stability, asymptotic stability, and instability with initial time difference are introduced. Sufficient conditions of stability properties are given with the help of Lyapunov-like functions.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research