{"_id":"s8d8xWzqBvMmvPs3W","bibbaseid":"krichman-sontag-wang-inputoutputtostatestability-2001","downloads":0,"creationDate":"2018-10-18T05:07:06.331Z","title":"Input-output-to-state stability","author_short":["Krichman, M.","Sontag, E.","Wang, Y."],"year":2001,"bibtype":"article","biburl":"http://www.sontaglab.org/PUBDIR/Biblio/complete-bibliography.bib","bibdata":{"bibtype":"article","type":"article","author":[{"firstnames":["M."],"propositions":[],"lastnames":["Krichman"],"suffixes":[]},{"firstnames":["E.D."],"propositions":[],"lastnames":["Sontag"],"suffixes":[]},{"firstnames":["Y."],"propositions":[],"lastnames":["Wang"],"suffixes":[]}],"journal":"SIAM J. Control Optim.","title":"Input-output-to-state stability","year":"2001","optmonth":"","optnote":"","number":"6","pages":"1874–1928","volume":"39","address":"Philadelphia, PA, USA","keywords":"input to state stability","publisher":"Society for Industrial and Applied Mathematics","pdf":"../../FTPDIR/ioss_input_output_to_state_krichman_sontag_wang_reprint_siam2001.pdf","abstract":"This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard zero-detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the input-output-to-state stability property and the existence of a certain type of smooth Lyapunov function. As corollaries, one shows the existence of \"norm-estimators\", and obtains characterizations of nonlinear detectability in terms of relative stability and of finite-energy estimates. ","doi":"http://dx.doi.org/10.1137/S0363012999365352","bibtex":"@ARTICLE{krichman_sontag_wang_IOSS_01,\n AUTHOR = {M. Krichman and E.D. Sontag and Y. Wang},\n JOURNAL = {SIAM J. Control Optim.},\n TITLE = {Input-output-to-state stability},\n YEAR = {2001},\n OPTMONTH = {},\n OPTNOTE = {},\n NUMBER = {6},\n PAGES = {1874--1928},\n VOLUME = {39},\n ADDRESS = {Philadelphia, PA, USA},\n KEYWORDS = {input to state stability},\n PUBLISHER = {Society for Industrial and Applied Mathematics},\n PDF = {../../FTPDIR/ioss_input_output_to_state_krichman_sontag_wang_reprint_siam2001.pdf},\n ABSTRACT = { This work explores Lyapunov characterizations of the \n input-output-to-state stability (IOSS) property for nonlinear \n systems. The notion of IOSS is a natural generalization of the \n standard zero-detectability property used in the linear case. The \n main contribution of this work is to establish a complete equivalence \n between the input-output-to-state stability property and the \n existence of a certain type of smooth Lyapunov function. As \n corollaries, one shows the existence of \"norm-estimators\", and \n obtains characterizations of nonlinear detectability in terms of \n relative stability and of finite-energy estimates. },\n DOI = {http://dx.doi.org/10.1137/S0363012999365352}\n}\n\n","author_short":["Krichman, M.","Sontag, E.","Wang, Y."],"key":"krichman_sontag_wang_IOSS_01","id":"krichman_sontag_wang_IOSS_01","bibbaseid":"krichman-sontag-wang-inputoutputtostatestability-2001","role":"author","urls":{},"keyword":["input to state stability"],"downloads":0,"html":""},"search_terms":["input","output","state","stability","krichman","sontag","wang"],"keywords":["input to state stability"],"authorIDs":["5bc814f9db768e100000015a"],"dataSources":["DKqZbTmd7peqE4THw"]}