A mixed sensitivity H∞ problem is solved for dead-time systems. It is shown that for a given bound on the H∞-norm there exist causal stabilizing controllers that achieve this bound if and only if a related finite-dimensional Riccati equation has a solution with a certain nonsingularity property. In the case of zero time-delay the Riccati equation is a standard Riccati equation and the nonsingul...

A wealth of knowledge and research results exist for control of systems with state delays and input delays. Problems with long input delays, for unstable plants, represent a particular challenge. In fact, they were the first challenge to be dealt with, in Otto J. M. Smith’s article (Smith, 1959), where a compensator, now known as the Smith predictor, was introduced five decades ago. The Smith p...

In this paper, we present a study of the destabilizing effects of delay in communications networks. We the apply results from a companion paper to find the range of delays for which a Smith predictor controller guarantees the stability of an ATM/ABR network.

In this article we consider the cerebellum in the vertebrate motor control system. Analyzing the delays in this control loop as well as the complexity of the dynamics of the skeletomuscular system, we £nd that two well-known interpretations of the function of the cerebellum—that of a Smith predictor, or of an inverse model controller—are insuf£cient to solve the control problem at hand.

We examine the stability properties of a predictor-corrector implementation of a class of implicit linear multistep methods. The method has recently been described in the literature as suitable for the efficient integration of stiff systems and as having stability regions similar to well known implicit methods. A more detailed analysis reveals that this is not the case.

The maximum principle for the space and time-space fractional partial differential equations is still an open problem. In this paper, we consider a multi-term time-space Riesz-Caputo fractional differential equations over an open bounded domain. A maximum principle for the equation is proved. The uniqueness and continuous dependence of the solution are derived. Using a fractional predictor-corr...

A class of one-step methods which obtain a block of r new values at each step are studied. The asymptotic behavior of both implicit and predictor-corrector procedures is examined.

This paper explores the role of branch predictor organization in power/energy/performance tradeoffs for processor design. We find that as a general rule, to reduce overall energy consumption in the processor it is worthwhile to spend more power in the branch predictor if this results in more accurate predictions that improve running time. Two techniques, however, provide substantial reductions ...

A new method for robust fixed-order H∞ controller design for uncertain time-delay systems is presented. It is shown that the H∞ robust performance condition can be represented by a set of convex constraints with respect to the parameters of a linearly parameterized primary controller in the Smith predictor structure. Systems with uncertain dead-time and with multimodel and frequency-domain unce...