We study the temporal formation of quantum-mechanical bound states within a one-dimensional attractive square-well potential by first solving time-independent Schr\"odinger equation and then studying time-dependent system with an external potential. For this we introduce Gaussian potentials different spatial extensions generalize description also for subsequent pulses random noisy potentials. O...

This paper addresses the problem of grouping machines in order to design cellular manufacturing ceils, with an objective to minimize inter-cell flow. This problem is related to one of the major aims of group technology (GT): to decompose the manufacturing system into manufacturing cells that are as independent as possible. This problem is NP-hard. Thus, nonheuristic methods cannot address probl...

Formation stability is now analyzed under a new prism using input-to-state stability. Formation ISS relates leader input to internal state of the formation and characterizes the way this input affects stability performance. Compared to other notions of stability for interconnected systems, formation ISS does not require attenuation of errors as they propagate, but instead quantifies the amplifi...