In this article, an H∞ filtering problem for continuous-time Takagi-Sugeno fuzzy systems with multiple time-varying delays in state variables is addressed. Based on Lyapunov-Krasovskii approach, a delay-dependent sufficient conditions is obtained. Unlike the existing results requiring the information on derivative of delay time, the condition we proposed is free from derivative information on d...

most cardiovascular diseases need to be treated by more than a simple drug and the use of combination products diminishes noncompliance. advicor ® as a combination product of a vitamin and a fat lowering agent has no monograph in official pharmacopeias for its quality control purposes. in this study, first and third derivative signals for na and lv quantitation at the two pairs of wavelengths, ...

The direct reactions of PI(3) with -H or -C(6)H(5) substituted diiminopyridine ligands yield the N,N',N''-chelated P(I) cations. The analogous chemistry with the ubiquitous -CH(3) substituted derivative produces a complex mixture of products underscoring the importance of the substitution on the α-carbon atom. The I(3)(-) counteranion of the compounds could be easily exchanged with the more rob...

We will use the variational approach to (0.1) as described in [2] and we will stick to the notations of that paper. Given the complex n-dimensional Hermitian space (C, 〈·, ·〉), for any m ∈ N let H m := H(J,C) be the Sobolev space of all H-maps from J := [0, 1] into C. A derivative dependent Hermitian form is the form Ω(x)[u] = Pm i,j=0〈D u(x), ωi,j(x)D u(x)〉, where, each ωi,j is a smooth path o...

• Connections in Rn . We have by now defined a number of different notions of differentiation: the differential of maps between manifolds, the exterior derivative of differential forms, and the Lie derivative. To begin to see the need for a new notion of differentiation (which will turn out to be the most fundamental and will apply to general tensor fields) consider first the problem of definin...

This paper focuses on the fuzzy Volterra integro-differential equation of nth order of the second-kind with nonlinear fuzzy kernel and initial values. The derived integral equations are solvable, the solutions of which are unique under certain conditions. The existence and uniqueness of the solutions are investigated in a theorem and an upper boundary is found for solutions. Comparison of the e...

In the title compound, C(7)H(9)NO, a derivative of benzyl alcohol, the endocyclic C-C-C angles are in the range 119.50 (12)-121.04 (12)°. In the crystal, mol-ecules are linked by N-H⋯O hydrogen-bond inter-actions, forming an extended two-dimensional framework parallel to ab. O-H⋯N inter-actions are also observed.

The whole mol-ecule of the title coumarin derivative, C(11)H(10)O(3), is approximately planar, with a maximum deviation of 0.116 (3) Å from the least-squares plane defined by all non-H atoms. In the crystal, adjacent mol-ecules are linked into chains along [011] via inter-molecular C-H⋯O hydrogen bonds.