With the fast advance of VLSI process technology, interconnect delay increasingly dominates the circuit performance. Buffer insertion plays a crucial role in dealing with this problem. However, excessive insertion might cause additional problems and counteract its advantages. In this paper, we propose a gate replacement method to extract essential inverters from positive unate gates. The basic ...

To provide better customer service, NCJRS has made this Federally-funded grant final report available electronically in addition to traditional paper copies. Opinions or points of view expressed are those of the author(s) and do not necessarily reflect the official position or policies of the U.S. The causes of delay in the youth justice system are complex. No single approach is likely to be ef...

A new direct method is presented which reduces a given high-order representation of a control system with delays to a firstorder form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann’s strict system ...

Whenever there is a time delay in a dynamical system, the study of stability becomes an infinite-dimensional problem. The centre manifold theorem, together with the classical Hopf bifurcation, is the most valuable approach for simplifying the infinite-dimensional problem without the assumption of small time delay. This dimensional reduction is illustrated in this paper with the delay versions o...

The Laser Interferometer Space Antenna (LISA) is a European Agency mission that aims to measure gravitational waves in the millihertz range. three-spacecraft constellation forms nearly equilateral triangle, which experiences flexing along its orbit around Sun. These time-varying and unequal armlengths require process measurements with time-delay interferometry (TDI) synthesize virtual equal-arm...