By constructing a delay-dependent Lyapunov Krasovskii functional and using a two-term approximation of the time-varying delay, sufficient conditions of finite-time stability are derived and expressed in terms of linear matrix inequalities (LMIs).
By constructing a novel delay graph, the problem can be solved optimally by employing the M node-disjoint paths algorithm under FDMA channel model.
When the switching signal of the switched controller involves delay, by constructing a novel Lyapunov functional which is allowed to increase during the running time of active subsystems with the mismatched controller, sufficient conditions for exponential stability are developed for a class of switching signals based on the average dwell time method.
By constructing a suitable augmented Lyapunov functional, a delay-dependent criterion is derived in terms of linear matrix inequalities (LMIs) and the integral inequality approach (IIA), which can be solved efficiently by using the generalized eigenvalue problem (GEVP).
Wang et al. [6] investigated the mean-square exponential stability of stochastic GRNs with time-varying delays by constructing a Lyapunov-Krasovskii functional.
By constructing a modified Lyapunov Krasovskii functional, some novel delay-dependent exponential stability criteria for uncertain neutral stochastic systems with mixed delays are established in terms of linear matrix inequality.
(2) Based on the Lyapunov stability theory, differential inclusion theory and some matrix inequality techniques, and by constructing a novel Lyapunov functional, a sufficient delay-dependent condition is proposed, under which the error system is globally asymptotically stable.
By constructing a new Lyapunov Krasovskii functional, some novel delay-dependent mean-square exponential stability criteria are obtained in terms of linear matrix inequalities.
In [13], the problem of robust stability of uncertain systems with interval time-varying delay was considered by constructing a Lyapunov functional with uncorrelated augmented matrix items and a tighter bounding technology.
Then, based on the criterion, some delay-independent and delay-dependent conditions on the FTS are derived for the nonlinear time-delay Hamiltonian systems by constructing a suitable Lyapunov function.
Based on these new summation inequalities and the reciprocally convex combination inequality, a novel sufficient criterion on asymptotical stability of discrete-time systems with variable delays is obtained by constructing a new Lyapunov-Krasovskii functional.
