A memoryless state sequence governing the behavior of a state-dependent channel is to be described causally an encoder wishing communicate over said channel. Given maximal-allowed description rate, we seek that maximizes Shannon capacity. It shown maximum need not achieved by (symbol-by-symbol) description. Such descriptions are, however, optimal when receiver cognizant or allowed depend on mes...

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...

Abstract: Recently, nonlinear H∞ control theory has been paid attention for the powerful design method for a robust stabilization. The solvable condition of nonlinear H∞ control problem is given by the Hamilton Jacobi Inequality (HJI). The HJI is the partial differential inequality which is quite difficult to solve, so some numerical approaches have been researched. The approach to solve the HJ...