@ARTICLE{MR1629012,
   AUTHOR       = {E.D. Sontag},
   JOURNAL      = {Systems Control Lett.},
   TITLE        = {Comments on integral variants of ISS},
   YEAR         = {1998},
   OPTMONTH     = {},
   OPTNOTE      = {},
   NUMBER       = {1-2},
   PAGES        = {93--100},
   VOLUME       = {34},
   ADDRESS      = {Amsterdam, The Netherlands, The Netherlands},
   KEYWORDS     = {input-to-state stability},
   PUBLISHER    = {Elsevier Science Publishers B. V.},
   PDF          = {../../FTPDIR/iiss.pdf},
   ABSTRACT     = { This note discusses two integral variants of the 
      input-to-state stability (ISS) property, which represent nonlinear 
      generalizations of L2 stability, in much the same way that ISS 
      generalizes L-infinity stability. Both variants are equivalent to ISS 
      for linear systems. For general nonlinear systems, it is shown that 
      one of the new properties is strictly weaker than ISS, while the 
      other one is equivalent to it. For bilinear systems, a complete 
      characterization is provided of the weaker property. An interesting 
      fact about functions of type KL is proved as well. },
   DOI          = {http://dx.doi.org/10.1016/S0167-6911(98)00003-6}
}

{"_id":"bNhbjrTbcDgBGdyRk","bibbaseid":"sontag-commentsonintegralvariantsofiss-1998","downloads":0,"creationDate":"2018-10-18T05:07:06.410Z","title":"Comments on integral variants of ISS","author_short":["Sontag, E."],"year":1998,"bibtype":"article","biburl":"http://www.sontaglab.org/PUBDIR/Biblio/complete-bibliography.bib","bibdata":{"bibtype":"article","type":"article","author":[{"firstnames":["E.D."],"propositions":[],"lastnames":["Sontag"],"suffixes":[]}],"journal":"Systems Control Lett.","title":"Comments on integral variants of ISS","year":"1998","optmonth":"","optnote":"","number":"1-2","pages":"93–100","volume":"34","address":"Amsterdam, The Netherlands, The Netherlands","keywords":"input-to-state stability","publisher":"Elsevier Science Publishers B. V.","pdf":"../../FTPDIR/iiss.pdf","abstract":"This note discusses two integral variants of the input-to-state stability (ISS) property, which represent nonlinear generalizations of L2 stability, in much the same way that ISS generalizes L-infinity stability. Both variants are equivalent to ISS for linear systems. For general nonlinear systems, it is shown that one of the new properties is strictly weaker than ISS, while the other one is equivalent to it. For bilinear systems, a complete characterization is provided of the weaker property. An interesting fact about functions of type KL is proved as well. ","doi":"http://dx.doi.org/10.1016/S0167-6911(98)00003-6","bibtex":"@ARTICLE{MR1629012,\n AUTHOR = {E.D. Sontag},\n JOURNAL = {Systems Control Lett.},\n TITLE = {Comments on integral variants of ISS},\n YEAR = {1998},\n OPTMONTH = {},\n OPTNOTE = {},\n NUMBER = {1-2},\n PAGES = {93--100},\n VOLUME = {34},\n ADDRESS = {Amsterdam, The Netherlands, The Netherlands},\n KEYWORDS = {input-to-state stability},\n PUBLISHER = {Elsevier Science Publishers B. V.},\n PDF = {../../FTPDIR/iiss.pdf},\n ABSTRACT = { This note discusses two integral variants of the \n input-to-state stability (ISS) property, which represent nonlinear \n generalizations of L2 stability, in much the same way that ISS \n generalizes L-infinity stability. Both variants are equivalent to ISS \n for linear systems. For general nonlinear systems, it is shown that \n one of the new properties is strictly weaker than ISS, while the \n other one is equivalent to it. For bilinear systems, a complete \n characterization is provided of the weaker property. An interesting \n fact about functions of type KL is proved as well. },\n DOI = {http://dx.doi.org/10.1016/S0167-6911(98)00003-6}\n}\n\n","author_short":["Sontag, E."],"key":"MR1629012","id":"MR1629012","bibbaseid":"sontag-commentsonintegralvariantsofiss-1998","role":"author","urls":{},"keyword":["input-to-state stability"],"downloads":0,"html":""},"search_terms":["comments","integral","variants","iss","sontag"],"keywords":["input-to-state stability"],"authorIDs":["5bc814f9db768e100000015a"],"dataSources":["DKqZbTmd7peqE4THw"]}