{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:01:33Z","timestamp":1761487293481},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1993,10,1]],"date-time":"1993-10-01T00:00:00Z","timestamp":749433600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Multidim Syst Sign Process"],"published-print":{"date-parts":[[1993,10]]},"DOI":"10.1007\/bf00989651","type":"journal-article","created":{"date-parts":[[2005,1,9]],"date-time":"2005-01-09T16:24:19Z","timestamp":1105287859000},"page":"355-391","source":"Crossref","is-referenced-by-count":3,"title":["Stability tests and performance bounds for a class of 2D linear systems"],"prefix":"10.1007","volume":"4","author":[{"given":"E.","family":"Rogers","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D. H.","family":"Owens","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","unstructured":"D.H. Owens, ?Stability of Linear Multipass Processes,?Proceedings of the IEE, vol. 124, pp. 1079?1982.","DOI":"10.1049\/piee.1977.0220"},{"key":"CR2","doi-asserted-by":"crossref","unstructured":"E. Rogers and D.H. Owens,Stability Analysis for Linear Repetitive Processes, Lecture Notes in Control and Information Sciences, vol. 175, Springer-Verlag, 1992.","DOI":"10.1007\/BFb0007165"},{"key":"CR3","unstructured":"E. Rogers and K.J. Smyth, ?Modelling of Industrial Repetitive Processes,? Research Report No. DC 25, University of Strathclyde, 1990."},{"key":"CR4","first-page":"351","volume-title":"Realization and Modelling in Systems Theory","author":"E. Rogers","year":"1992","unstructured":"E. Rogers and D.H. Owens, ?2D Transfer Functions and Stability Tests for Discrete Linear Repetitive Processes,? inRealization and Modelling in Systems Theory, M. A. Kaashoek, et al., eds., Boston: Birkhauser, 1992, pp. 351?356."},{"key":"CR5","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1049\/ip-c.1980.0029","volume":"127","author":"F.M. Boland","year":"1980","unstructured":"F.M. Boland and D.H. Owens, ?Linear Multipass Processes?A Two Dimensional Interpretation,?Proceedings of the IEE, vol. 127, 1980, pp. 189?193.","journal-title":"Proceedings of the IEE"},{"key":"CR6","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1093\/imamci\/6.4.399","volume":"6","author":"E. Rogers","year":"1989","unstructured":"E. Rogers and D.H. Owens, ?Stability Analysis for Discrete Linear Multipass Processes with Non-Unit Memory,?IMA Journal of Mathematical Control and Information, vol. 6, 1989, pp. 399?409.","journal-title":"IMA Journal of Mathematical Control and Information"},{"key":"CR7","volume-title":"Inners and the Stability of Dynamic Systems","author":"E.I. Jury","year":"1974","unstructured":"E.I. Jury,Inners and the Stability of Dynamic Systems, New York: Wiley, 1974."},{"key":"CR8","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1016\/0016-0032(73)90193-2","volume":"295","author":"D.D. Siljak","year":"1973","unstructured":"D.D. Siljak, ?Algebraic Criterion for Positive Realness Relative to the Unit Circle,?Journal of the Franklin Institute, vol. 295, 1973, pp. 469?476.","journal-title":"Journal of the Franklin Institute"},{"key":"CR9","volume-title":"The Theory of Matrices, vols. I, II","author":"F.R. Gantmacher","year":"1959","unstructured":"F.R. Gantmacher,The Theory of Matrices, vols. I, II, New York: Chelsea, 1959."},{"key":"CR10","unstructured":"E. Rogers and D.H. Owens. ?Lyapunov Based Stability Tests for Repetitive Processes,? in Preparation."},{"key":"CR11","first-page":"61","volume":"CAS 32","author":"W.S. Lu","year":"1985","unstructured":"W.S. Lu and E.B. Lee, ?Stability Analysis for Two-Dimensional Filters via a Lyapunov Approach,?IEEE Transactions on Circuits and Systems, vol. CAS 32, 1985, pp. 61?68.","journal-title":"IEEE Transactions on Circuits and Systems"},{"key":"CR12","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/978-1-4612-3462-3_33","volume-title":"Realization and Modelling in Systems Theory","author":"P. Agathoklis","year":"1990","unstructured":"P. Agathoklis, E.I. Jury, and M. Mansour, ?An Algebraic Test for Internal Stability of 2D Discrete Systems,? inRealization and Modelling in Systems Theory, M.A. Kaashoek et al. eds., Boston: Birkhauser, 1990, pp. 303?310."},{"key":"CR13","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1109\/TCS.1986.1085912","volume":"CAS 33","author":"B.D.O. Anderson","year":"1986","unstructured":"B.D.O. Anderson, P. Agathoklis, E.I. Jury, and M. Mansour, ?Stability and the Matrix Lyapunov Equation for Discrete 2-Dimensional Systems,?IEEE Transactions on Circuits and Systems, vol. CAS 33, 1986, pp. 261?266.","journal-title":"IEEE Transactions on Circuits and Systems"},{"key":"CR14","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1109\/31.1813","volume":"CAS 35","author":"P. Agathoklis","year":"1988","unstructured":"P. Agathoklis, ?Lower Bounds for the Stability Margin of Discrete Two-Dimensional Systems Based on the Two-Dimensional Lyapunov Equation,?IEEE Transactions on Circuits and Systems, vol. CAS 35, 1988, pp. 745?749.","journal-title":"IEEE Transactions on Circuits and Systems"},{"key":"CR15","unstructured":"K.J. Smyth and E. Rogers, ?Requirements for Controller Design for Linear Repetitive Processes,? Research Report No. D.C. 37, University of Strathclyde, 1990."},{"key":"CR16","unstructured":"K.J. Smyth, ?Computer Aided Analysis for Linear Repetitive Processes,? Ph.D. thesis, University of Strathclyde, 1991."},{"key":"CR17","doi-asserted-by":"crossref","unstructured":"D.H. Owens and A. Chotai, ?Robust Controller Design for Linear Dynamic Systems Using an Approximate Model,?Proceedings of the IEE, vol. 130, pp. 45?56.","DOI":"10.1049\/ip-d.1983.0009"},{"key":"CR18","volume-title":"Multivariable and Optimal Systems","author":"D.H. Owens","year":"1981","unstructured":"D.H. Owens,Multivariable and Optimal Systems, London: Academic Press, 1981."},{"key":"CR19","unstructured":"E. Rogers and D.H. Owens, ?Multivariable Controller Design for Industrial Repetitive Processes,?Proc. Control 91, IEE, Edinburgh, 1991, pp. 1267?1270."},{"key":"CR20","unstructured":"E. Rogers and P. Rocha, ?Non-unit Memory Linear Repetitive Processes?A 2D Systems Approach to Analysis and Control,? in preparation."},{"issue":"3","key":"CR21","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1177\/014233129201400302","volume":"14","author":"D.H. Owens","year":"1992","unstructured":"D.H. Owens and E. Rogers, ?391-1 Norm Minimization and the Stabilization of Systems with Repetitive Dynamics, Trans. Inst. M.C., vol. 14, 3, pp. 126?129, 1992.","journal-title":"Trans. Inst. M.C."}],"container-title":["Multidimensional Systems and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00989651.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF00989651\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00989651","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,26]],"date-time":"2019-04-26T21:02:08Z","timestamp":1556312528000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF00989651"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,10]]},"references-count":21,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1993,10]]}},"alternative-id":["BF00989651"],"URL":"https:\/\/doi.org\/10.1007\/bf00989651","relation":{},"ISSN":["0923-6082","1573-0824"],"issn-type":[{"value":"0923-6082","type":"print"},{"value":"1573-0824","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,10]]}}}