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In this article, positivity and global exponential stability for a class of timescale-type differential-difference equations with bounded time-varying delay are considered. At first, a sufficient and necessary condition for the positivity of matrix-valued timescale-type exponential function is obtained. Based on this, an explicit criterion for the positivity of coupled timescale-type differential-difference equations with delays bounded above is acquired by timescale-type induction method. Besides, a sufficient and necessary condition of its positivity is obtained when the delay is both bounded above and below by two positive reals. Then, a concise criterion that guarantees the global exponential stability of the considered system is derived based upon analytical techniques of time scales and positivity constraint. On top of that, the theoretical results are applied to investigate the positivity and stability for a class of timescale-type neutral linear systems with bounded time-varying delays. Two numerical examples are given to illustrate the validity of the results. [ABSTRACT FROM AUTHOR]

This note develops new containment control algorithms for two classes of heterogeneous multiagent systems. In a first scenario, the controls are zero during portions of successive time intervals, while in a second scenario, the system follows constant-velocity trajectories during portions of successive intervals. Some sufficient conditions are derived for the two classes of intermittent containment control. Finally, several illustrative examples are provided to show the effectiveness of the obtained results. [ABSTRACT FROM AUTHOR]