Based on the fuzzy Lyapunov-Krasovskii functional, combined with a reciprocally convex combination lemma, two types of bounded real lemma, which guarantees the stability and the (H_{infty}) attenuation level of the filter error system, are obtained.
Then, a mode-dependent Lyapunov Krasovskii functional combined with some novel integral inequalities are adopted to reduce the conservatism.
The maximal Lyapunov functional, combined with the Razumikhin methodology, was utilized to give a non-ellipsoidal description of the reachable set in [10].
This is based on the construction of an improved Lyapunov-Krasovskii functional combined with the Leibniz-Newton formula and the technique of dealing with some integral terms.
Using the parameter-dependent Lyapunov-Krasovskii functional combined with LMI techniques, we propose new criteria for the robust stability of the nonlinear uncertain system.
Using an improved Lyapunov Krasovskii functional combined with Newton Leibniz formula, a memoryless switched controller design for exponential stabilization of switched systems is proposed.
The equilibrium geometries of the molecules in the electronic ground state were determined with the Becke three-parameter hybrid functional combined with Lee Yang Parr correlation functional (B3LYP) [29, 29].
Density function theory (DFT) calculations have been performed using the Gauss view and Gaussian03 by B3LYP (beck three-parameter hybrid functional combined with Lee-Yang-Parr correlation functional) method and 6-31G (d) standard basis set.
By constructing a Lyapunov functional combined with the LMI technique, we propose new criteria for the mean square exponential stability of switched stochastic systems with interval time-varying delay.
By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the mean square exponential stability of switched stochastic systems with time-varying delay are first established in terms of LMIs.
