Enhanced master–slave synchronization criteria for chaotic Lur’e systems based on time-delayed feedback control

Improvement master-slave robustly synchronous criteria of uncertain chaotic Lur'e systems via an augmented Lyapunov-Krasovskii functional

“…• To avoid quadratic terms h 2 (t), in [18], the components of the integrated vector of V 2 (t) of the LKF use ∫ b a ė(s)ds instead of the integral component. Indeed, ∫ b a ė(s)ds can be rewritten as e(b) − e(a), with virtually no information about the single integral component ∫ b a e(s)ds involved.…”

“…Just fix the corresponding synchronization controller gain K = col{6.0229, 1.3367, −2.1264} and calculate the corresponding MADUBs h, which can fully demonstrate that the stability margin obtained by the method in this paper is larger than some literatures under the same control weight. The corresponding results and those compared with some literatures [10,18,[23][24][25][26][27]34] are listed in Table 2.…”

“…So, for time-varying delay, more and more researchers pay high attention to the master-slave synchronization of chaotic Lur'e systems with time-varying delays. For instance, master-slave synchronization with timevarying delay feedback control [17,18], event-triggered synchronization of networked chaotic Lur'e systems [19], sampled-data synchronization of Markovian jump chaotic Lur'e systems [1,20,21], synchronization of chaotic Lur'e systems with time-delays via quantized output feedback control [22], and so on.…”

“…The analysis methods that make full use of linear time-delayed systems have become significant and spontaneous. For example, in the LKF construction, an LKF with delay decomposition [23][24][25], a proposed LKF consisting of a quadratic term and integral terms for the timevarying delays and the nonlinearities [26], an LKF related to a second-order Bessel-Legendre inequality [27], an LKF related to a delay-product-type function and two delay-dependent matrices [18,28,29], ect. ; In the application of inequality techniques, Bessel-Legendre inequality [30,31], reciprocally convex inequality [32], second order Bessel-Legendre inequality [33], Jensen-liked inequality [34][35][36], a matrixseparation-based inequality [37], and so on.…”

Enhanced Stability Criteria of Network-Based Load Frequency Control of Power Systems with Time-Varying Delays

“…Thus, there are many methods and techniques given to address these two aspects. For the construction of LKF, a LKF with the delay decomposition method [22][23][24], LKF with multiple integral items [25][26][27][28][29] and LKF with some augmented vectors [30,31] are proposed. On the other aspect, the Jensen inequality [32], B-L inequality [33] and relaxed integral inequality techniques [34][35][36][37][38] are used to estimate the upper bound of the derivative of LKF.…”