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On the uniform approximation of nonlinear discrete-time fading-memory systems using neural network models
| Content Provider | Semantic Scholar |
|---|---|
| Author | Matthews, Michael B. |
| Copyright Year | 1992 |
| Abstract | A fading-memory system is defined as a discrete-time system whose response map or external representation has unique asymptotic proper¬ ties over some set of input sequences. We consider the class of fadingmemory systems that have a continuous internal representation. We say that a system uniformly approximates another system if their out¬ puts remain within a uniform distance of each other over all time. We show that any fading-memory system can be uniformly approximated arbitrarily closely over a compact set of input sequences by uniformly approximating either its external or internal representation sufficiently closely. In other words, the uniform approximation of a fading-memory system reduces to the uniform approximation of continuous functions |
| File Format | PDF HTM / HTML |
| DOI | 10.3929/ethz-a-000625223 |
| Alternate Webpage(s) | https://www.research-collection.ethz.ch/bitstream/handle/20.500.11850/140592/eth-38532-01.pdf;jsessionid=DECC0BE5BC0175C71DC71ABEFF6A51EB?sequence=1 |
| Alternate Webpage(s) | https://www.research-collection.ethz.ch/bitstream/handle/20.500.11850/140592/eth-38532-01.pdf?isAllowed=y&sequence=1 |
| Alternate Webpage(s) | https://www.research-collection.ethz.ch/bitstream/handle/20.500.11850/140592/eth-38532-01.pdf;jsessionid=2A676EE3735C519137810E51C6E8DA5D?sequence=1 |
| Alternate Webpage(s) | https://doi.org/10.3929/ethz-a-000625223 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |