Directional switching in a self-propelled particle model with delayed interactions is investigated. It is shown that the average switching time is an increasing function of time delay. The presented results are applied to studying collective animal behavior. It is argued that self-propelled particle models with time delays can explain the state-dependent diffusion coefficient measured in experi...

In this paper, the comparison theorem of stochastic differential delay equations with Markovian switching has been investigated. In order to develop our theory, a new proof of existence and uniqueness of stochastic differential equations with Markovian switching is given.

Internally buffered multistage interconnection network (MIN) architectures have been widely used in parallel computer systems and large switching fabrics. Migration from electrical domain to optical domain has raised the necessity of developing node architectures with optical buffers. Cascaded optical delay line (COD) emulates output buffering in a 2x2 switching element. Two versions of COD are...

We study a variant of online optimization in which the learner receives k-round delayed feedback about hitting cost and there is multi-step nonlinear switching cost, i.e., costs depend on multiple previous actions manner. Our main result shows that novel Iterative Regularized Online Balanced Descent (iROBD) algorithm has constant, dimension-free competitive ratio O(L2k), where L Lipschitz const...

This paper reviews different encoding schemes for reduction of power dissipation, crosstalk noise and delay. Crosstalk is aggravated by enhanced switching activity which is often main cause for the malfunctioning of any VLSI chip. Consequently, delay and power dissipation also increases due to enhanced crosstalk. Reduction in switching activities through coupled transmission line results in eno...