𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Sample Stability of Periodically Correlated Pulse Trains

✍ Scribed by Robert Lugannani

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
676 KB
Volume
296
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

✦ Synopsis

The sample stability of an important class of pulse trains is considered. Because the pulse trains may not be stationary, the classical results concerning stability are not applicable; however, by using the fact that the moments of the pulse trains are periodic, it can be shown that the sample average always converges in stochastic mean. and that, under suitable additional restrictions the convergence may be taken to be with probability 1. The limit in both cases is a well-dejined random variable for which an explicit expression is given. These results extend some earlier work in which a more restricted class of pulse trains has been treated.

πŸ“œ SIMILAR VOLUMES

Two-photon correlation of squeezed pulse
Two-photon correlation of squeezed pulse train
✍ Takahiro Kuga; Takuya Hirano; Yoko Miyamoto; Masahiro Matsuoka πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 335 KB
On the stability of surface acoustic pul
On the stability of surface acoustic pulse trains in coated elastic media
✍ C. Eckl; J. SchΓΆllmann; A.P. Mayer; A.S. Kovalev; G.A. Maugin πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 285 KB

Coating a planar surface of a homogeneous elastic halfspace by a thin film gives rise to dispersion of Rayleigh waves that, together with the second-order nonlinearity of the substrate or surface nonlinearities, leads to the existence of surface acoustic solitary pulses. Their shapes are computed an

Stability of periodic solutions for an S
Stability of periodic solutions for an SIS model with pulse vaccination
✍ Yicang Zhou; Hanwu Liu πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 701 KB

vaccination is an important strategy for the elimination of infectious diseases. A mathematical SIS model with pulse vaccination is formulated in this paper. The dynamical behavior of the model is studied, and the basic reproductive number & is defined. It is proved that the disease-free periodic so

A bound of conservativeness in sampled-d
A bound of conservativeness in sampled-data robust stabilization and its dependence on sampling periods
✍ Yasuaki Oishi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 682 KB

This paper investigates conservativeness of the AΒ°2-induced norm in a sampled-data robust stabilization problem. Namely, it is shown that possible conservativeness of the ~2-induced norm can be bounded by the difference between the best achievable performance of time-invariant continuous-time contro