This paper examines saturated control of a general class of uncertain nonlinear systems with timedelayed actuation and additive bounded disturbances. The bound on the control is known a priori and can be adjusted by changing the feedback gains. A Lyapunov-based stability analysis utilizing Lyapunov–Krasovskii (LK) functionals is provided to prove uniformly ultimately bounded tracking despite un...

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...

This study examines the causal relationship between international public relations expenditure and its economic returns at the country level. In order to overcome the limitations of previous studies that have attempted to quantify the outcomes of public relations efforts and investments using correlations, this study conducted a more rigorous causality test by measuring the relationship between...

Purpose: This study is the first to examine the effect of extreme weather on mortality in Cyprus. It aims to investigate the individual effect of meteorological indicators on mortality, as well as the role of air pollution as a potential confounder of heat related health effects. Methods: The analysis concentrated on the warm periods (April to September) of the years 2007-2009. A Generalized Li...

Prediction of global temperatures and sea level rise (SLR) is important for sustainable development planning of coastal regions of the world and the health and safety of communities living in these regions. In this study, climate change effects on sea level rise is investigated using a dynamic system model (DSM) with time lag on historical input data. A time-invariant (TI-DSM) and time-variant ...

Many microbes when grown on a mixture of two carbon sources utilise first and exclusively the preferred sugar, before switching to the less preferred carbon source. This results in two distinct exponential growth phases, often interrupted by a lag-phase of reduced growth termed the lag-phase. While the lag-phase appears to be an evolved feature, it is not clear what drives its evolution, as it ...

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...