{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,19]],"date-time":"2025-11-19T06:30:39Z","timestamp":1763533839623},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540251088"},{"type":"electronic","value":"9783540319542"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/978-3-540-31954-2_6","type":"book-chapter","created":{"date-parts":[[2011,1,14]],"date-time":"2011-01-14T02:45:07Z","timestamp":1294973107000},"page":"86-102","source":"Crossref","is-referenced-by-count":15,"title":["A Homology Theory for Hybrid Systems: Hybrid Homology"],"prefix":"10.1007","author":[{"given":"Aaron D.","family":"Ames","sequence":"first","affiliation":[]},{"given":"Shankar","family":"Sastry","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"6_CR1","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-38117-4","volume-title":"Homotopy Limits, Completions and Localizations","author":"A.K. Bousfield","year":"1972","unstructured":"Bousfield, A.K., Kan, D.M.: Homotopy Limits, Completions and Localizations. Lecture Notes in Mathematics, vol.\u00a0304. Springer, Heidelberg (1972)"},{"key":"6_CR2","series-title":"Lecture Notes in Computer Science","first-page":"332","volume-title":"Computer Aided Systems Theory - EUROCAST \u201993","author":"R.W. Thomason","year":"1994","unstructured":"Thomason, R.W.: First quadrant spectral sequences in algebraic K-theory. In: Moreno-D\u00edaz, R., Pichler, F. (eds.) EUROCAST 1993. LNCS, vol.\u00a0763, pp. 332\u2013355. Springer, Heidelberg (1994)"},{"key":"6_CR3","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1007\/BF01219090","volume":"134","author":"R.M. Vogt","year":"1973","unstructured":"Vogt, R.M.: Homotopy limits and colimits. Mathematische Zeitschrift\u00a0134, 11\u201352 (1973)","journal-title":"Mathematische Zeitschrift"},{"key":"6_CR4","doi-asserted-by":"crossref","unstructured":"Ames, A.D., Sastry, S.: Characterization of Zeno behavior in hybrid systems using homological methods. Submitted to ACC (2005)","DOI":"10.1109\/ACC.2005.1470118"},{"key":"6_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1007\/3-540-46430-1_35","volume-title":"Hybrid Systems: Computation and Control","author":"S. Simic","year":"2000","unstructured":"Simic, S., Johansson, K.H., Sastry, S., Lygeros, J.: Towards a geometric theory of hybrid systems. In: Lynch, N.A., Krogh, B.H. (eds.) HSCC 2000. LNCS, vol.\u00a01790, pp. 421\u2013436. Springer, Heidelberg (2000)"},{"key":"6_CR6","series-title":"Graduate Texts in Mathematics","volume-title":"Categories for the Working Mathematician","author":"S.M. Lane","year":"1998","unstructured":"Lane, S.M.: Categories for the Working Mathematician, 2nd edn. Graduate Texts in Mathematics, vol.\u00a05. Springer, Heidelberg (1998)","edition":"2"},{"key":"6_CR7","series-title":"Graduate Texts in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-21752-9","volume-title":"Introduction to Smooth Manifolds","author":"J.M. Lee","year":"2003","unstructured":"Lee, J.M.: Introduction to Smooth Manifolds. Graduate Texts in Mathematics, vol.\u00a0218. Springer, Heidelberg (2003)"},{"key":"6_CR8","doi-asserted-by":"crossref","unstructured":"Ames, A.D., Sastry, S.: A categorical theory of hybrid systems. Technical Report (2004)","DOI":"10.1007\/978-3-540-24743-2_2"},{"key":"6_CR9","doi-asserted-by":"crossref","unstructured":"Haghverdi, E., Tabuada, P., Pappas, G.J.: Bisimulation relations for dynamical, control, and hybrid systems. Submitted to Theoretical Computer Science (2003)","DOI":"10.1016\/S1571-0661(04)80562-0"},{"key":"6_CR10","series-title":"Ergenbnisse der Mathematik und Ihrer Grenzgebiete","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-85844-4","volume-title":"Calculus of Fractions and Homotopy Theory","author":"P. Gabriel","year":"1967","unstructured":"Gabriel, P., Zisman, M.: Calculus of Fractions and Homotopy Theory. Ergenbnisse der Mathematik und Ihrer Grenzgebiete, vol.\u00a035. Springer, Heidelberg (1967)"},{"key":"6_CR11","doi-asserted-by":"publisher","first-page":"1589","DOI":"10.1080\/00927878208822794","volume":"10","author":"R.W. Thomason","year":"1982","unstructured":"Thomason, R.W.: First quadrant spectral sequences in algebraic K-theory via homotopy colimits. Communications in Algebra\u00a010, 1589\u20131668 (1982)","journal-title":"Communications in Algebra"},{"key":"6_CR12","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139644136","volume-title":"An Introduction to Homological Algebra","author":"C.A. Weibel","year":"1994","unstructured":"Weibel, C.A.: An Introduction to Homological Algebra. Cambridge University Press, Cambridge (1994)"},{"key":"6_CR13","doi-asserted-by":"crossref","DOI":"10.1515\/9781400881802","volume-title":"Morse Theory","author":"J. Milnor","year":"1963","unstructured":"Milnor, J.: Morse Theory. Princeton University Press, Princeton (1963)"},{"key":"6_CR14","volume-title":"From Calculus to Cohomology: De Rahm Cohomology and Characteristic Classes","author":"I. Madsen","year":"1997","unstructured":"Madsen, I., Tornehave, J.: From Calculus to Cohomology: De Rahm Cohomology and Characteristic Classes. Cambridge University, Cambridge (1997)"}],"container-title":["Lecture Notes in Computer Science","Hybrid Systems: Computation and Control"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-31954-2_6.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,18]],"date-time":"2020-11-18T23:30:45Z","timestamp":1605742245000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-31954-2_6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540251088","9783540319542"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-31954-2_6","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}