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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Po-Ling Loh Hongchao Zhou Bruck, J. |
| Copyright Year | 2009 |
| Description | Author affiliation: Department of Mathematics, California Institute of Technology, Pasadena, 91125, USA (Po-Ling Loh) || Department of Electrical Engineering, California Institute of Technology, Pasadena, 91125, USA (Hongchao Zhou; Bruck, J.) |
| Abstract | Many natural systems, including chemical and biological systems, can be modeled using stochastic switching circuits. These circuits consist of stochastic switches, called pswitches, which operate with a fixed probability of being open or closed. We study the effect caused by introducing an error of size. to each pswitch in a stochastic circuit. We analyze two constructions.simple series-parallel and general series-parallel circuits.and prove that simple series-parallel circuits are robust to small error perturbations, while general series-parallel circuits are not. Specifically, the total error introduced by perturbations of size less than ∈ is bounded by a constant multiple of ∈ in a simple series-parallel circuit, independent of the size of the circuit. However, the same result does not hold in the case of more general series-parallel circuits. In the case of a general stochastic circuit, we prove that the overall error probability is bounded by a linear function of the number of pswitches. |
| Starting Page | 2066 |
| Ending Page | 2070 |
| File Size | 879100 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781424443123 |
| DOI | 10.1109/ISIT.2009.5205379 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-06-28 |
| Publisher Place | South Korea |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Robustness Stochastic processes Switching circuits Chemicals Biological systems Biological system modeling Stochastic systems Switches Circuit analysis Error probability |
| Content Type | Text |
| Resource Type | Article |
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