In this paper it is shown that every continuous LTI (linear time-invariant) system L defined either on L or on D Lp (1 6 p 6 ∞) admits an impulse response ∆ ∈ D Lp′ (1 6 p ′ 6 ∞, 1/p+ 1/p′ = 1). Schwartz’ extension to D Lp distributions of the usual notion of convolution product for L functions is used to prove that (apart some restrictions for p =∞) for every f either in L or in D Lp we have L...

Swin,,ory.-A genenil time-domsin definition of reo'pmdry ir given in terms of network-pon vxiables, and this dcfmilion i? npptied to eoncludc the symmetry of ncnvork mnuicrr, even in the ua~. of amvc, nonfrrurc networks. A new proof is presented of the rmpraclry of Gnllr. nrworkr composed of ttrnc-invarimt rnirtors, apantors, inductors and transformma, and this proof is also applied to show the...

In this paper, we show how Floquet theory may be combined with a technique known as Lifting to cast a linear periodically time-varying system subject to structured linear time invariant uncertainty in the form of a linear fractional transformation. The stability and performance robustness of the resulting system may then be analysed using standard μ-analysis methods. A significant advantage of ...

We address the problem of state estimation in linear time invariant systems when the measurements are subject to unknown random delays. In cases where the measurements are “time stamped” the delays can be computed on-line. In such cases, the estimation problem reduces to a standard Kalman Filtering problem. Here we will study the more challenging case when the measurements are not time stamped....

This paper discusses the approximate and feedback relevant parametric identi cation of the radial servo system present in a Compact Disc player. In this application the problem of approximate identi cation based on data from closed loop experiments will be analyzed to nd a nite dimensional linear time invariant discrete time model, suitable for model-based control design. The feedback relevant ...

Algorithms for observation, identification and fault detection of linear time-invariant strongly observable systems with unknown inputs are developed, based on high order sliding modes. The possibility of their extension is discussed to strongly detectable and nonlinear systems. Some applications of the proposed algorithms are presented.

This paper is concerned with the fault detection filter design problem for linear time-invariant systems subject to disturbance and possible faults. To make a tradeoff between fault sensitivity and disturbance sensitivity, frameworks such as H−/H∞, H2/H∞, and H∞/H∞ are considered. It is shown that for H−/H∞ and H∞/H∞ frameworks, all optimal fault detection filters can be characterized by an env...