Special Issue “Advanced Symmetry Methods for Dynamics, Control, Optimization and Applications”

Abstract

Nonlinear systems described by differential equations are of great theoretical significance and do frequently arise in practice [...]

Sufficient conditions on finite‐time input‐to‐state stability of nonlinear stochastic impulsive time‐varying systems

“…Using the Lyapunov function, approach and Lambert function, we have obtained the satisfactory properties. On the other hand, delay is an important factor to affect the stability, 37‐40 and so it is interesting for our future work to consider our results to the delay case.…”

Mean-Square Stability of Uncertain Delayed Stochastic Systems Driven by G-Brownian Motion

“…In view of the widespread applications of time delay in various technical domains such as engineering technology, mechanics, cybernetics and biomedicine, the research scope of TDS has gained prominence among researchers. Specifically, comprehensive research on TDS stability revealed a critical issue pertaining to control theory, which has been assessed in various monographs [1][2][3][4][5][6][7][8][9][10][11][12][13]. For example, in [14], Zhao and Zhu discussed a neutral stochastic highly nonlinear time-delay system with a nonlinear growth condition.…”

“…Consider the following two-dimensional G-SDDE. Let ϕ 1 (t) = −0.05 + 0.1 sin(10t), ϕ 2 (t) = 0.05 − 0.1 sin(10t), τ(t) = 0.5 sin(t), ε = 1 and the corresponding coefficient matrices be as follows:[4,5], O 12 ∈ [1, 2], O 22 ∈[4,5] …”