{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T03:49:34Z","timestamp":1648957774298},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J CIRCUIT SYST COMP"],"published-print":{"date-parts":[[1992,12]]},"abstract":"<jats:p> In this letter we consider nonlinear maps G(\u00b7) that are shift invariant and have \u201capproximately-finite memory\u201d in a certain very reasonable sense. These maps, which are assumed to satisfy a mild continuity condition, take a subset S of R into R, where R is the set of real-valued maps defined on \u01b5n (as usual, \u01b5 is the set of integers and n is an arbitrary positive integer). We describe results which show that all such maps can be approximated arbitrarily well, in the sense of uniform approximation, by the maps of certain special nonlinear structures. This is of interest in connection with nonlinear filtering, system identification, and the general understanding of nonlinear systems. <\/jats:p>","DOI":"10.1142\/s0218126692000234","type":"journal-article","created":{"date-parts":[[2004,11,25]],"date-time":"2004-11-25T00:50:24Z","timestamp":1101343824000},"page":"383-388","source":"Crossref","is-referenced-by-count":4,"title":["MULTIDIMENSIONAL NONLINEAR SYSTEMS AND STRUCTURE THEOREMS"],"prefix":"10.1142","volume":"02","author":[{"given":"IRWIN W.","family":"SANDBERG","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, Texas 78712, U.S.A"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"container-title":["Journal of Circuits, Systems and Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218126692000234","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T02:46:47Z","timestamp":1565146007000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218126692000234"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,12]]},"references-count":0,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1992,12]]}},"alternative-id":["10.1142\/S0218126692000234"],"URL":"https:\/\/doi.org\/10.1142\/s0218126692000234","relation":{},"ISSN":["0218-1266","1793-6454"],"issn-type":[{"value":"0218-1266","type":"print"},{"value":"1793-6454","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,12]]}}}