When and, the global exponential stability criteria for (2.2) have been established in [18] by utilizing the Lyapunov functional method.
By utilizing the basic functional modules, one can quickly build production lines with different configurations and maintenance policies.
By utilizing the Lyapunov Krasovskii functional method, sufficient synchronization criteria are first established in terms of linear matrix inequalities (LMIs).
In [23], by utilizing the Lyapunov functional method combined with the inequality techniques, a sufficient condition was given to ensure that the proposed coupled chaos reaction-diffusion NNs with hybrid coupling was synchronized.
By utilizing the Lyapunov functional method, Jensen's inequality, Wirtinger's inequality and lower bounds theorem, we establish a sufficient criterion such that, for all admissible parameter uncertainties, the complex dynamical network is robustly synchronized.
By utilizing the Lyapunov functional method, a robust dissipative controller is designed such that the corresponding closed-loop system is asymptotically mean-square stable and strict (Q, S, R -dissipative.
By utilizing the Lyapunov Krasovskii functional method, a novel delay-dependent passivity criterion is established in terms of linear matrix inequalities to guarantee the Markov jump genetic regulatory networks to be passive.
By utilizing the Lyapunov Krasovskii functional, sector conditions, Lipschitz inequality, and Wirtinger-based inequality and by employing the range of input lags, time-derivative bound of delay, and L2 gain reduction for exogenous input, sufficient conditions are derived in order to ensure global and local stability of the overall closed-loop system.
Another interesting property of their network growing algorithm is that it facilities growing modular networks (utilizing the functional modularity measure introduced by the authors).
In this section, global synchronization of the MSCN (1) is investigated by utilizing the Lyapunov-Krasovskii functional method, the stochastic analysis techniques and the delay-partition approach.
