1 Introduction

Francesco Viti ∗ , Delft University of Technology, Department of Civil Engineering, Section Transport and Planning, Stevinweg 1, 2628CN Delft, The Netherlands and Katholieke Universiteit Leuven, Department of Civil Engineering, Section Traffic and Infrastructure, Kasteelpark Arenberg 40, 3001 Heverlee, Belgium. Henk J. Van Zuylen, Delft University of Technology, Department of Civil Engineering,...

This paper investigates the exponential stability of a class neutral inertial neural networks with multi-proportional delays and leakage delays. By utilizing Lyapunov theory, approach parametric variation, differential inequality technique, some criteria are acquired that can guarantee all solutions addressed system converge exponentially to equilibrium point. In particular, term, delays, incor...

This brief presents new theoretical results on the global exponential stability of neural networks with time-varying delays and Lipschitz continuous activation functions. These results include several sufficient conditions for the global exponential stability of general neural networks with time-varying delays and without monotone, bounded, or continuously differentiable activation function. In...

The issue of adaptive finite-time cluster synchronization corresponding to neutral-type coupled complex-valued neural networks with mixed delays is examined in this research. A network more general than that a traditional network, since it considers distributed delays, state and coupling delays. In research, new control technique developed synchronize finite time. To stabilize the resulting clo...

In this paper, the problem on globally exponentially stability in the Lagrange sense for cellular neural networks (CNNs) with both mixed delays and general activation functions is dealt with. Here, the mixed delays consist of time-varying delays and finite distribute delays. Based on assuming that the activation functions are neither bounded nor monotonous or differentiable, several algebra cri...

In 1986 Warga proposed a “weak” relaxation procedure applicable to fully nonlinear problems with delays in the control variables and showed that the resulting relaxed problem has a solution. However, in the event of commensurate delays, several examples were found for which weakly relaxed controls cannot be approximated with original controls, so that this extension fails to be “proper.” Althou...

In this paper, the optimal filtering problem for linear systems with state and observation delays is treated proceeding from the general expression for the stochastic Ito differential of the optimal estimate, error variance, and various error covariances. As a result, the optimal estimate equation similar to the traditional Kalman-Bucy one is derived; however, the resulting system of equations ...

In 1986, the total profits of the U.S. airline industry were of the order of $800 million, while its total delay costs due to congestion approached the figure of $2 billion. Motivated by this important problem of congestion costs and observing that ground delays are far more preferable than airborne delays, we have formulated and studied generic integer programming models in order to assign opt...

A non-linear model for the description of packet-switched communication networks is presented. This model is combined with a model of an additive increase, multiplicative decrease end-to-end controller to obtain a global description of a controlled packet switched network with buffering delays. The global stability of this general model is then analysed using singular perturbation analysis. It ...