Abstract. This paper focuses on consensus problems for a class of linear systems with distributed delay that are encountered in modeling traffic flow dynamics. The distributed delay, whose kernel is a gamma-distribution with a gap, represents the human drivers’ behavior in the average. The aim of the paper is to give a characterization of the regions in the corresponding delay parameter space, ...

At this turn of the century the objectoriented (OO) distributed real-time (RT) programming movement is growing rapidly along with the networked embedded systems market. The motivations are reviewed and then a brief overview is given of the particular programming scheme which this author and his collaborators have been establishing. The scheme is called the time-triggered message triggered objec...

We study delay-independent stability in nonlinear models with a distributed delay which have a positive equilibrium. Such models frequently occur in population dynamics and other applications. In particular, we construct a relevant difference equation such that its stability implies stability of the equation with a distributed delay and a finite memory. This result is, generally speaking, incor...

The discretized Lyapunov functional method is extended to linear systems with both, discrete and distributed delays, and to H1 control. The coefficients associated with the distributed delay are assumed to be piecewise constant. A new Bounded Real Lemma (BRL) is derived in terms of Linear Matrix Inequalities (LMIs) via descriptor approach. In three numerical examples considered for retarded typ...