Abstract. The authors use Lyapunov–Krasovsky functionals to investigate the stability in probability, asymptotic stability in probability, stability in the mean square, exponential stability in the mean square in the whole of stochastic dynamic systems of random structure with Markov switchings and perturbation.
Keywords: stochastic dynamic systems, asymptotic stability, exponential stability, stability over probability, stability in the mean square.
1 Yu. Fed’kovych Chernivtsi National University, Chernivtsi, Ukraine,
e-mail: t.lukashiv@gmail.com.
2 Yu. Fed’kovych Chernivtsi National University, Chernivtsi, Ukraine,
e-mail: yasinsk@list.ru.