A Class-E/Fodd high power amplifier (PA) using the distributed active transformer (DAT) is demonstrated at 29MHz. The DAT combines the output power from four VDMOS push-pull pairs. The zero voltage switching (ZVS) condition is investigated and modified for the Class-E/Fodd amplifier with a non-ideal output transformer. All lumped elements including the DAT and the transistor package are modeled...

The adaptive control problem of a class of stochastic time-delay systems is investigated. Firstly we consider a simple class of stochastic systems with time-varying delays and design the corresponding adaptive controller based on the solution of linear matrix inequalities (LMIs), which can render the closed-loop asymptotically stable in probability. Then we apply the adaptive idea to the interc...

Let X be a Banach space. Suppose that for all p ∈ (1,∞) a constant Cp,X depending only on X and p exists such that for any two Xvalued martingales f and g with tangent martingale difference sequences one has E‖f‖ ≤ Cp,XE‖g‖ p (∗). This property is equivalent to the UMD condition. In fact, it is still equivalent to the UMD condition if in addition one demands that either f or g satisfy the so-ca...

This paper considers bifurcation at the principal eigenvalue of a class of gradient operators which possess the Palais-Smale condition. The existence of the bifurcation branch and the asymptotic nature of the bifurcation is verified by using the compactness in the Palais Smale condition and the order of the nonlinearity in the operator. The main result is applied to estimate the asyptotic behav...

Sharp bounds are derived for the derivative of analytic functions of class .P,, defined by the condition |/>(z) —l/2a|<: l/2a, O^a^l, p(f>) = \. These results are improved for the class of functions with missing terms. Application is made to the class of functions with derivative G Px and the radius of convexity is determined for this class.

We show that the class of preferences satisfying the Gross Substitutes condition of Kelso and Crawford (1982) is strictly larger than the class of Endowed Assignment Valuations of Hatfield and Milgrom (2005), thus resolving the open question posed by the latter paper. In particular, our result implies that not every valuation function that satisfies the Gross Substitutes condition can be “decom...

We investigate the structure of conformal C-spaces, a class of Riemmanian man-ifolds which naturally arises as a conformal generalisation of the Einstein condition. A basic question is when such a structure is closed, or equivalently locally conformally Cotton. In dimension 4 we obtain a full answer to this question and also investigate the incidence of the Bach condition on this class of metri...

By imposing a structural criterion on a graph, we generalize the well-known Chvátal’s sufficient condition for hamiltonicity (J. Combin. Theory Ser. B 12 (1972) 163–168). Using this result, we describe a new class of hamiltonian degree sequenceswhich contains the sequences given byChvátal’s condition, as well as a class of degree sequences described by Fan and Liu (J. Systems Sci. Math. Sci. 4 ...

Let X be a Banach space. Suppose that for all p ∈ (1,∞) a constant Cp,X depending only on X and p exists such that for any two X-valued martingales f and g with tangent martingale difference sequences one has E‖f‖ ≤ Cp,XE‖g‖ p (∗). This property is equivalent to the UMD condition. In fact, it is still equivalent to the UMD condition if in addition one demands that either f or g satisfy the so-c...