Characterization of Quasi L ∞ /L 2 Hankel Norms of Sampled-Data Systems

Structural Properties of Multirate Sampled-Data Systems

The application of Networked Control Systems (NCS) in which sensory and control signals are transmitted via shared data communication networks, is growing significantly and these systems have been the subject of research during the last decade. On the other hand, multirate sampled data systems have been investigated since a long time. In this paper, conditions under which a networked control sy...

Induced norms for sampled-data systems

-In this paper, we consider a general linear interconnection of a continuous-time plant and a discretetime controller via sample and hold devices. When the closed loop sampled-data feedback system is internally stable, bounded inputs produce bounded outputs. We present some explicit formulae for the induced norm of the closed loop system with ~ (i.e. peak value) and ~1 (i.e. integral absolute) ...

2 × 2 Systems of Conservation Laws with L ∞ Data

Consider a hyperbolic system of conservation laws with genuinely nonlinear characteristic fields. We extend the classical Glimm-Lax result [11, Theorem 5.1] proving the existsnce of solution for L∞ initial datum, relaxing the assumptions taken therein on the geometry of the shock–rarefaction curves. 2000 Mathematics Subject Classification: 35L65

L norms of trigonometric polynomials

L∞-induced norm analysis of sampled-data systems via piecewise constant and linear approximations

This paper deals with the L1 analysis of linear sampled-data systems, by which we mean the computation of the L∞induced norm of linear sampled-data systems. Two computation methods based on piecewise constant and piecewise linear approximations are provided through fast-lifting, by which the sampling interval [0, h) is divided into M subintervals with an equal width. Even though the central par...