By using comparison principle and Lyapunov method, several sufficient conditions have been derived to realize multi-quasi-synchronization.
The update laws of the coupling strengths were derived to realize the synchronization based on Lassalle-Yoshizawa theorem.
The proposed scheme demands for two separate duty ratios and novel switching scheme has been derived to realize the combined duty ratios in one switching cycle.
Second, by using Razumikhin-type stability theory and fractional integral inequality, some sufficient conditions have been derived to realize synchronization of fractional-order complex networks with time-varying delay.
First, by using the fractional Lyapunov method and generalized Barbalat's lemma, several sufficient conditions have been derived to realize synchronization of fractional-order complex networks without time-varying delay.
Under the framework of Filippov solutions, several new and effective criteria are derived to realize finite-time stabilization of discontinuous DNNs based on the famous finite-time stability theory.
First, an effective criterion is derived to realize synchronization of complex dynamical networks with general bounded delay controller in finite-time, since it is difficult to implement in practical applications, adaptive delay bounded feedback controller is proposed to compensate this defect, and adaptive time-varying delay bounded feedback controller is also be discussed.
It is derived from realizing that you are clever enough to figure out how to get these myriad objects inside such a snug, small hole.
Then, system requirements were derived and technically realized, to iteratively evaluate their usability.
The author constructs an explicit intertwinig operator from derived functor modules, realized in the Langlands classification, into Dolbeault cohomology on G/L.
The authors give a nonzero integral intertwining operator from derived functor modules, realized in the Langlands classification, to the Dolbeault cohomology representations, under the assumption that L and G have the same real rank.
