The Hankel operator of the system with single control input delay is established by using state-space formulation in this paper. In general, this type of operator is not a compact one. Singular values of this type of operator are studied. Two examples are used to illustrate the computation of Hankel singular value by the theoretical method proposed in this paper.

This paper is concerned with the robustness of the predictor feedback control of linear systems with input delays. By applying certain equivalent transformations on the characteristic equation associated with the closed-loop system, we first transform the robustness problem of a predictor feedback control system into the stability problem of a neutral time-delay system containing an integral op...

The conversion from discrete-time to continuous-time models is sometimes quite troublesome. This paper answers related pending questions concerning z-domain poles at the origin, and relating them to s-domain models with time delay. Special attention is devoted to the tradeoff between fractional delay and direct feed-through. The paper places these questions into a general framework of model map...

S AbstractWe analyze the robust stability of Inverse LQ regulators for single-input linear systems with uncertain input delay. Unlike the usual LQ regulator, the Inverse LQ regulator has a gain tuning parameter that can be chosen freely to some extent without losing its LQ optimality. Utilizing this freedom we seek the range of tuning parameter that ensures the robust stability against the unce...

Sliding Mode Control (SMC) in the presence of small, unavoidable input delay as may be present in controller implementation is studied. Linear systems with bounded matched disturbances and uncertain systemmatrices are considered,where input delay in the SMCwill produce oscillations or potentially even unbounded solutions.Without a priori knowledge of the bounds on the state-dependent terms as r...

We recently introduced a design methodology for the stabilization of nonlinear systems with input and state delays that depend on the current state of the plant. In the present paper we consider nonlinear horizon and the delay depend on the state of the plant, the key design challenges are how to compute the predictor state and the delay (since the delay needs to be available in order to comput...

ÐThis paper presents a design methodology for high-speed Booth encoded parallel multiplier. For partial product generation, we propose a new modified Booth encoding (MBE) scheme to improve the performance of traditional MBE schemes. For final addition, a new algorithm is developed to construct multiple-level conditional-sum adder (MLCSMA). The proposed algorithm can optimize final adder accordi...

Sleep disturbances are an all-too-familiar symptom of jet lag and a prime source of complaints for transmeridian travelers and flight crews alike. They are the result of a temporary loss of synchrony between an abruptly shifted sleep period, timed in accordance with the new local day-night cycle, and a gradually reentraining circadian system. Scheduled exposure to bright light can, in principle...