{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,6]],"date-time":"2022-04-06T02:27:37Z","timestamp":1649212057917},"reference-count":33,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2005,10]]},"abstract":"<jats:p>In this paper, a nonlinear system aiming at reducing the signal transmission rate in a networked control system is constructed by adding nonlinear constraints to a linear feedback control system. Its stability is investigated in detail. It turns out that this nonlinear system exhibits very interesting dynamical behaviors: in addition to local stability, its trajectories may converge to a nonorigin equilibrium or be periodic or just be random. Furthermore it exhibits sensitive dependence on initial conditions \u2014 a sign of chaos. Complicated bifurcation phenomena are exhibited by this system. After that, control of the chaotic system is discussed. All these are studied under scalar cases in detail. Some difficulties involved in the study of this type of systems are analyzed. Finally an example is employed to reveal the effectiveness of the scheme in the framework of networked control systems.<\/jats:p>","DOI":"10.1142\/s0218127405014040","type":"journal-article","created":{"date-parts":[[2005,12,22]],"date-time":"2005-12-22T10:26:18Z","timestamp":1135247178000},"page":"3075-3101","source":"Crossref","is-referenced-by-count":6,"title":["NETWORKED CONTROL SYSTEMS: A PERSPECTIVE FROM CHAOS"],"prefix":"10.1142","volume":"15","author":[{"given":"GUOFENG","family":"ZHANG","sequence":"first","affiliation":[{"name":"Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"TONGWEN","family":"CHEN","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2V4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.809782"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/9.867021"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/9.62267"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-3037-6"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/9.58500"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/9.948466"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.816982"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2003.9.1607"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(99)00020-1"},{"key":"rf13","volume-title":"Linear Algebra in Systems and Control","author":"Huang L.","year":"1984"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(02)00076-6"},{"key":"rf15","first-page":"793","volume":"39","author":"Ishii H.","journal-title":"Automatica"},{"key":"rf16","volume-title":"Nonlinear Systems","author":"Khalil H.","year":"1996"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2000.6.299"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1080\/00207179408923111"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1973-0335758-1"},{"key":"rf20","first-page":"183","volume":"185","author":"Li T.","journal-title":"Trans. Amer. Math. Soc."},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1109\/87.987076"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(02)00285-6"},{"key":"rf26","volume-title":"Computer Networks: A Systems Approach","author":"Peterson L.","year":"2000"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1109\/6.284793"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1115\/1.3143869"},{"key":"rf29","volume-title":"Dynamical Systems: Stability, Symbolic Dynamics and Chaos","author":"Robinson C.","year":"1995"},{"key":"rf30","volume-title":"An Introduction to Dynamical Systems: Continuous and Discrete","author":"Robinson C.","year":"2004"},{"key":"rf31","doi-asserted-by":"crossref","first-page":"298","DOI":"10.1109\/ISIE.1999.801802","volume":"1","author":"Safaric R.","journal-title":"Proc. IEEE Symp. Indust. Elect."},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.1002\/3527607455"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1016\/S0141-9331(96)01109-X"},{"key":"rf34","volume-title":"High Performance Communication Networks","author":"Walrand J.","year":"1996"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1109\/9.935062"},{"key":"rf37","doi-asserted-by":"publisher","DOI":"10.1109\/87.998034"},{"key":"rf38","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00195-9"},{"key":"rf39","doi-asserted-by":"publisher","DOI":"10.1109\/9.763226"},{"key":"rf41","doi-asserted-by":"publisher","DOI":"10.1109\/37.898794"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127405014040","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,11]],"date-time":"2020-04-11T19:00:45Z","timestamp":1586631645000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127405014040"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,10]]},"references-count":33,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2005,10]]}},"alternative-id":["10.1142\/S0218127405014040"],"URL":"https:\/\/doi.org\/10.1142\/s0218127405014040","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,10]]}}}