The goal of this article is to present the minimal time needed for null controllability and finite-time stabilization one-dimensional first-order 2 × linear hyperbolic systems. main technical point show that we cannot obtain a better time. proof combines backstepping method with Titchmarsh convolution theorem.

Perception is an intentional action by which the finite brain explores the infinite world. By acting, the brain thrusts its body into the future spacetime of the world while predicting the sensory consequences. By perceiving its actions and their results, it remembers its predictions. To perform these operations the brain, through chaotic dynamics, constructs and uses finite perceptual matrices...

1 Time-dependent perturbation theory 1 1.1 Rotating frame . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Perturbation expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 NMR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.4 Periodic perturbations . . . . . . . . . . . . . . . . . ....

{ A single chip system for real{time MPEG{2 decoding can be created by integrating a dual{issue RISC processor with a small dedicated hardware for the variable length decoding (VLD) and block loading processes; a 32KB instruction RAM; and a 16KB data RAM. The VLD hardware performs the Huuman decoding on the input data. The block loader performs the half{sample prediction for motion compensation...

(PUBLISHED AT ICASSP'95) Nelson Luiz Passos and Edwin Hsing-Mean Sha Dept. of Computer Science & Engineering University of Notre Dame Notre Dame, IN 46556 ABSTRACT Two-dimensional lters are commonly used in digital image processing applications. These lters have the characteristic of processing recursive sets of instructions requiring high computational speed. In this paper, these sets are mode...