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By constructing an augmented Lyapunov Krasovskii functional (LKF) taking fully the information time-varying-delay range into account, less conservative delay-dependent synchronization criteria are established in the form of linear matrix inequalities (LIMs).
First, by constructing an augmented system, an asynchronous proportional-integral (PI) controller is designed such that the probability density functions (PDFs) of the system output can track the target one.
The improved optimal SM controller is designed by constructing an augmented optimal sliding mode manifold function, which includes all of the information of the structure and expected performance of the suspension.
An online adaptive critic design method is proposed to learn the solution of OTCP by constructing an augmented system associated with a discounted performance function, which is composed of the tracking errors and reference trajectory dynamics.
By constructing an augmented Lyapunov functional with slack variables, new delay-dependent DOBC and H ∞ controller are obtained in terms of linear inequality matrices.
By constructing an augmented Lyapunov-Krasovskii functional and introducing some analysis techniques, some novel delay-distribution-dependent mean square stability conditions for the DSSN, which are to be robustly globally exponentially stable, are derived.
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By constructing a newly augmented Lyapunov Krasovskii functional, a less conservative criterion for the existence of the estimator of discrete-time neural networks without disturbances is introduced in Theorem 1 with the framework of linear matrix inequalities (LMIs).
By constructing a newly augmented Lyapunov-Krasovskii functional, [3] established less conservative stability criteria in the form of LMIs.
By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative sufficient stability conditions of the concerned systems are introduced within the framework of linear matrix inequalities (LMIs).
By constructing a newly augmented Lyapunov-Krasovskii functional and using the extended Wirtinger inequality and a reciprocally convex method, several sufficient criteria are derived to guarantee the stability of the proposed model.
By constructing a newly augmented Lyapunov-Krasovskii functional and using the convex polyhedron method, several sufficient criteria are derived to guarantee the stability of the proposed model for all admissible parameter uncertainties.
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Justyna Jupowicz-Kozak
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