Certain types of adaptive algorithms used for repetitive control are input/output equivalent to linear time-invariant controllers. This paper concerns the consequences of this equivalence for analysis and design of these types of adaptive controllers. Specifically, the role of zero placement in the linear time-invariant equivalent is closely examined using root locus analysis, and a modificatio...

With the widespread application of junction transistors in switching applications, the need for a general method of analysis useful in the region of collector voltage saturation has become apparent. Linear equivalent circuits using lumped elements have long been used for small signal calculations of normally-biased transistors, but a comparable method for saturated transistors has been lacking....

Equivalent-linear analysis of earth dams with QUAD4 is a state-of-practice approach which incorporates a cumulative level of knowledge in soil dynamics that is still used today in many organizations. Nevertheless, today’s availability of more advanced nonlinear effective-stress analysis tools has improved significantly our estimates of shaking-induced permanent deformations of earth structures....

Q = (& is a symmetric negative semidefinite N x N matrix which has a $-dimensional nullspace X( 1 4 d < N) and Q%~ f 0; er = diag(v,), where the numbers (vJ are real and distinct; f is an N-tupIe of nice functions of x. The Navier-Stokes equations are the second in a hierarchy of approximate equations (the first being Euler) for the hydrodynamical moments of solutions of Eq. (1.1) with E = 1. F...

This paper analyses trading and banking of carbon emission rights. Within the framework of a modestly simple, integrated assessment model that brakes the world economy in just two regions, North and South, it can be shown: (1) There exists separability between environmental targets and the choice of instruments. Increasing the "when and where" flexibility in greenhouse gas abatement either thro...

The radio-frequency protection guidelines of Japan recommend the limits of contact current for contact hazard due to an ungrounded metallic object under an electromagnetic field in the frequency range from 10 kHz to 15 MHz. To arrange the standard measurement methods of contact current in Japan, the contact body impedance for the Japanese in the frequency range from 75 kHz to 15 MHz is obtained...

In this article we consider a system of equations related to the -primitive equations of the ocean and the atmosphere, linearized around a stratified flow, and we supplement the equations with transparent boundary conditions. We study the stability of different numerical schemes and we show that for each case, letting the vertical viscosity go to 0, the stability conditions are the same as the ...

The index of matrix A in Cn.n is equivalent to the dimension of largest Jor-dan block corresponding to the zero eigenvalue of A. In this paper, indicialequations and normal equations for solving inconsistent singular linear systemof equations are investigated.