{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,4]],"date-time":"2024-06-04T17:11:22Z","timestamp":1717521082229},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1993,12,1]],"date-time":"1993-12-01T00:00:00Z","timestamp":754704000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Control Signal Systems"],"published-print":{"date-parts":[[1993,12]]},"DOI":"10.1007\/bf01211501","type":"journal-article","created":{"date-parts":[[2005,2,25]],"date-time":"2005-02-25T19:50:17Z","timestamp":1109361017000},"page":"341-362","source":"Crossref","is-referenced-by-count":7,"title":["Differential periodic Riccati equations: Existence and uniqueness of nonnegative definite solutions"],"prefix":"10.1007","volume":"6","author":[{"given":"Antonio","family":"Pastor","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vicente","family":"Hern\ufffdndez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"CR1","first-page":"141","volume-title":"Deterministic and Stochastic Linear Periodic Systems","author":"S. Bittanti","year":"1986","unstructured":"S. Bittanti,Deterministic and Stochastic Linear Periodic Systems (S. Bittanti, Ed.), Springer-Verlag, New York, 1986, pp. 141?182."},{"key":"CR2","first-page":"171","volume-title":"The Riccati Equation in Control Systems and Signals","author":"S. Bittanti","year":"1989","unstructured":"S. Bittanti, The Periodic Differential Riccati Equation: A Miscellaneous of Classical and Recent Results, inThe Riccati Equation in Control Systems and Signals (S. Bittanti, Ed.), Pitagora Editrice, Bologna, 1989, pp. 171?176."},{"key":"CR3","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/0167-6911(85)90083-0","volume":"6","author":"S. Bittanti","year":"1985","unstructured":"S. Bittanti and P. Bolzern, Stabilizability and Detectability of Linear Periodic Systems,Systems Control Lett.,6 (1985), 141?148.","journal-title":"Systems Control Lett."},{"key":"CR4","doi-asserted-by":"crossref","first-page":"706","DOI":"10.1109\/9.1286","volume":"33","author":"S. Bittanti","year":"1988","unstructured":"S. Bittanti, P. Colaneri, and G. De Nicolao, The Difference Riccati Equation for the Periodic Precision Problem,IEEE Trans. Automat. Control,33 (1988), 706?712.","journal-title":"IEEE Trans. Automat. Control"},{"key":"CR5","doi-asserted-by":"crossref","first-page":"706","DOI":"10.1007\/978-3-642-58223-3","volume-title":"The Riccati Equation","author":"S. Bittanti","year":"1991","unstructured":"S. Bittanti, P. Colaneri, and G. De Nicolao, The Periodic Riccati Equation, inThe Riccati Equation (S. Bittanti, A. J. Laub, and J. C. Willems, Eds.), Springer-Verlag, New York, 1991, pp. 706?712."},{"key":"CR6","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1109\/TAC.1984.1103465","volume":"29","author":"S. Chan","year":"1984","unstructured":"S. Chan, G. Goodwin, and K. Sin, Convergence Properties of the Riccati Difference Equation in Optimal Filtering of Nonstabilizable Systems,IEEE Trans. Automat. Control,29 (1984), 110?118.","journal-title":"IEEE Trans. Automat. Control"},{"key":"CR7","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1080\/00207178308933060","volume":"38","author":"H. Kano","year":"1983","unstructured":"H. Kano, Periodic Solutions of Matrix Riccati Equations in Discrete Time Invariant Systems,Internat. J. Control,38 (1983), 27?45.","journal-title":"Internat. J. Control"},{"key":"CR8","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1080\/00207177908922712","volume":"29","author":"H. Kano","year":"1979","unstructured":"H. Kano and T. Nishimura, Periodic Solutions of Matrix Riccati Equations with Detectability and Stabilizability,Internat. J. Control,29 (1979), 471?487.","journal-title":"Internat. J. Control"},{"key":"CR9","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1109\/TAC.1972.1099983","volume":"17","author":"V. Kuc?ra","year":"1972","unstructured":"V. Kuc?ra, A Contribution to Matrix Quadratic Equations,IEEE Trans. Automat. Control,17 (1972), 344?357.","journal-title":"IEEE Trans. Automat. Control"},{"key":"CR10","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/0005-1098(72)90100-8","volume":"8","author":"V. Kuc?ra","year":"1972","unstructured":"V. Kuc?ra, On Nonnegative Definite Solutions to Matrix Quadratic Equations,Automatica,8 (1972), 413?423.","journal-title":"Automatica"},{"key":"CR11","first-page":"430","volume":"8","author":"V. Kuc?ra","year":"1972","unstructured":"V. Kuc?ra, The Discrete Riccati Equation of Optimal Control,Kybernetica,8 (1972), 430?447.","journal-title":"Kybernetica"},{"key":"CR12","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1080\/00207178008922858","volume":"32","author":"P. Lancaster","year":"1980","unstructured":"P. Lancaster and L. Rodman, Existence and Uniqueness Theorems for the Algebraic Riccati Equation,Internat. J. Control,32 (1980), 285?309.","journal-title":"Internat. J. Control"},{"key":"CR13","volume-title":"The Theory of Matrices with Applications","author":"P. Lancaster","year":"1985","unstructured":"P. Lancaster and M. Tismenetsky,The Theory of Matrices with Applications, Academic Press, New York, 1985."},{"key":"CR14","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/S0020-0255(71)80020-8","volume":"3","author":"K. M\u00e5rtensson","year":"1971","unstructured":"K. M\u00e5rtensson, On the Matrix Riccati Equation,Inform. Sci.,3 (1971), 17?49.","journal-title":"Inform. Sci."},{"key":"CR15","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1080\/00207178908559629","volume":"49","author":"T. Nishimura","year":"1989","unstructured":"T. Nishimura and H. Kano, Periodic Strong Solutions of Periodically Time-Varying Matrix Riccati Equations,Internat. J. Control,49 (1989), 193?205.","journal-title":"Internat. J. Control"},{"key":"CR16","first-page":"87","volume-title":"The Riccati Equation in Control Systems and Signals","author":"A. Pastor","year":"1989","unstructured":"A. Pastor and V. Hern\u00e1ndez, The Class of Hermitian and Nonnegative Definite Solutions of the Algebraic Riccati Equation, inThe Riccati Equation in Control Systems and Signals (S. Bittanti, Ed.), Pitagora Editrice, Bologna, 1989, pp. 87?92."},{"key":"CR17","first-page":"252","volume":"170","author":"A. Pastor","year":"1992","unstructured":"A. Pastor and V. Hern\u00e1ndez, The Hamiltonian Matrix Method for the Algebraic Riccati Equation, Synopsis,Linear Algebra Appl.,170 (1992), 252?257.","journal-title":"Linear Algebra Appl."},{"key":"CR18","unstructured":"A. Pastor and V. Hern\u00e1ndez, The Algebraic Riccati Equation: Existence and Uniqueness of Nonnegative Definite Solutions, Internal Repport GAMA\/1\/91."},{"key":"CR19","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1137\/0321021","volume":"21","author":"M. A. Shayman","year":"1983","unstructured":"M. A. Shayman, Geometry of the Algebraic Riccati Equations, I and II.SIAM J. Control Optim.,21 (1983), 375?409.","journal-title":"SIAM J. Control Optim."},{"key":"CR20","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1137\/0323045","volume":"23","author":"M. A. Shayman","year":"1985","unstructured":"M. A. Shayman, On the Phase Portrait of the Matrix Riccati Equation Arising from the Periodic Control Problems,SIAM J. Control Optim.,23 (1985), 717?751.","journal-title":"SIAM J. Control Optim."},{"key":"CR21","doi-asserted-by":"crossref","first-page":"1235","DOI":"10.1080\/00207178708933965","volume":"46","author":"C. Souza de","year":"1987","unstructured":"C. de Souza, Riccati Differential Equations in Optimal Filtering of Periodic Nonstabilizable Systems,Internat. J. Control,46 (1987), 1235?1250.","journal-title":"Internat. J. Control"},{"key":"CR22","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1109\/9.73566","volume":"36","author":"C. Souza de","year":"1991","unstructured":"C. de Souza, Periodic Strong Solutions for the Optimal Filtering Problem of Linear Discrete-Time Periodic Systems,IEEE Trans. Automat. Control,36 (1991), 333?338.","journal-title":"IEEE Trans. Automat. Control"},{"key":"CR23","doi-asserted-by":"crossref","first-page":"831","DOI":"10.1109\/TAC.1986.1104415","volume":"31","author":"C. Souza de","year":"1986","unstructured":"C. de Souza, M. Gevers, and G. Goodwin, Riccati Equations in Optimal Filtering of Nonstabilizable Systems Having Singular State Transition Matrices,IEEE Trans. Automat. Control,31 (1986), 831?838.","journal-title":"IEEE Trans. Automat. Control"},{"key":"CR24","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1016\/0024-3795(84)90224-6","volume":"58","author":"H. K. Wimmer","year":"1984","unstructured":"H. K. Wimmer, The Algebraic Riccati Equation: Conditions for the Existence and Uniqueness of Solutions,Linear Algebra Appl.,58 (1984), 441?452.","journal-title":"Linear Algebra Appl."}],"container-title":["Mathematics of Control, Signals, and Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211501.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01211501\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211501","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T09:45:08Z","timestamp":1556790308000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01211501"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,12]]},"references-count":24,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1993,12]]}},"alternative-id":["BF01211501"],"URL":"https:\/\/doi.org\/10.1007\/bf01211501","relation":{},"ISSN":["0932-4194","1435-568X"],"issn-type":[{"value":"0932-4194","type":"print"},{"value":"1435-568X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,12]]}}}