Passivity{based feedback controllers are derived for the indirect stabilization of the average output voltage in Pulse{Width{Modulation (PWM) controlled dc{to{dc power converters of the \boost", \buck{boost" and \buck" types. The controller design is carried out on the basis of well known average PWM models of such circuits. These models are shown to be Euler{Lagrange systems corresponding to a...

Abstract We study the relation between the partition function of refined SU(N) and SO(2N) Chern-Simons on the 3-sphere and the universal Chern-Simons partition function in the sense of Mkrtchyan and Veselov. We find a four-parameter generalization of the integral representation of universal Chern-Simons that includes refined SU(N) and SO(2N) Chern-Simons for special values of parameters. The la...

Equations of motion of an axially symmetric sphere rolling and sliding on a plane are usually taken as model of the tippe top. We study these equations in the nonsliding regime both in the vector notation and in the Euler angle variables when they admit three integrals of motion that are linear and quadratic in momenta. In the Euler angle variables (θ, φ, ψ) these integrals give separation equa...

We study the dependence of entropy solutions in the large for hyperbolic systems of conservation laws whose flux functions depend on a parameter vector μ. We first formulate an effective approach for establishing the L-estimate pointwise in time between entropy solutions for μ 6= 0 and μ = 0, respectively, with respect to the flux parameter vector μ. Then we employ this approach and successfull...

The interfacial area per unit volume is one of the key parameters for the design of multiphase reactors. In this work a population balance approach is applied to calculate the interfacial area density in a bubble column. The resulting transport equation for the arithmetic bubble volume is coupled with the balance equations for mass and momentum. In addition the physical absorption of the gas ph...

The formulation of a bending vibration problem of an elastically restrained Bernoulli–Euler beam carrying a finite number of concentrated elements along its length is presented. In this study, the authors exploit the application of the differential evolution optimization technique to identify the torsional stiffness properties of the elastic supports of a Bernoulli–Euler beam. This hybrid strat...

The paper presents an interpolation scheme for G Hermite motion data, i.e., interpolation of data points and rotations at the points, with spatial quintic Pythagorean-hodograph curves so that the Euler-Rodrigues frame of the curve coincides with the rotations at the points. The interpolant is expressed in a closed form with three free parameters, which are computed based on minimizing the rotat...

The Euler math fonts are suitable for math typesetting in conjunction with a variety of popular text fonts which do not provide math character sets of their own. Euler-VM is a set of virtual fonts based on Euler and Computer Modern, accompanied by a macro package for easy use with LATEX. 302 TUGboat, Volume 23 (2002), No. 3/4 The Euler math fonts “With Donald Knuth’s assistance and encouragemen...

In this paper, a group consensus problem is investigated for the heterogeneous agents that are governed by the Euler–Lagrange system and the double-integrator system, respectively, and the parameters of the Euler–Lagrange system are uncertain. To achieve group consensus, a novel group consensus protocol and a time-varying estimator of the uncertain parameters are proposed. By combining algebrai...

the analytic signal method is a semiautomatic method for estimating the location of causative bodies in magnetic and gravity methods. the application of analytic signal for interpretation of two dimensional (2d) structures was introduced by nabighian (1972). the analytic signal is defined as a complex function in which the real and imaginary parts are a pair of hilbert transforms. in other word...