{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T14:19:58Z","timestamp":1775053198081,"version":"3.50.1"},"reference-count":28,"publisher":"Pleiades Publishing Ltd","issue":"5","license":[{"start":{"date-parts":[[2008,5,1]],"date-time":"2008-05-01T00:00:00Z","timestamp":1209600000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2008,5,1]],"date-time":"2008-05-01T00:00:00Z","timestamp":1209600000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Autom Remote Control"],"published-print":{"date-parts":[[2008,5]]},"DOI":"10.1134\/s0005117908050068","type":"journal-article","created":{"date-parts":[[2008,5,26]],"date-time":"2008-05-26T10:15:00Z","timestamp":1211796900000},"page":"788-800","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Invariance for impulsive control systems"],"prefix":"10.1134","volume":"69","author":[{"given":"F. Lobo","family":"Pereira","sequence":"first","affiliation":[]},{"given":"G. Nunes","family":"Silva","sequence":"additional","affiliation":[]},{"given":"V.","family":"Oliveira","sequence":"additional","affiliation":[]}],"member":"137","published-online":{"date-parts":[[2008,5,27]]},"reference":[{"key":"5006_CR1","doi-asserted-by":"publisher","first-page":"727","DOI":"10.1006\/jmaa.1996.0344","volume":"202","author":"G.N. Silva","year":"1996","unstructured":"Silva, G.N. and Vinter, R.B., Measure Differential Inclusions, J. Math. Anal. Appl., 1996, vol. 202, pp. 727\u2013746.","journal-title":"J. Math. Anal. Appl."},{"key":"5006_CR2","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1016\/S0167-6911(00)00027-X","volume":"40","author":"F.L. Pereira","year":"2000","unstructured":"Pereira, F.L. and Silva, G.N., Necessary Conditions of Optimality for Vector-Valued Impulsive Control Problems, Syst. & Control Lett., 2000, vol. 40, pp. 205\u2013215.","journal-title":"Syst. & Control Lett."},{"key":"5006_CR3","doi-asserted-by":"publisher","first-page":"25","DOI":"10.2307\/1912344","volume":"47","author":"C. Clark","year":"1979","unstructured":"Clark, C., Clarke, F., and Munro, G., The Optimal Exploitation of Renewable Stocks, Econometrica, 1979, vol. 47, pp. 25\u201347.","journal-title":"Econometrica"},{"key":"5006_CR4","unstructured":"Baumeister, J., On Optimal Control of a Fishery, in NOLCOS\u201901\u20145th IFAC Symposium on Nonlinear Control Systems, 2001."},{"key":"5006_CR5","volume-title":"Modeli upravleniya prirodnymi resursami","author":"V.I. Gurman","year":"1981","unstructured":"Gurman, V.I., Modeli upravleniya prirodnymi resursami (Models of Natural Resources Control), Moscow: Nauka, 1981."},{"key":"5006_CR6","volume-title":"Lect. Notes Control Inform. Sci.","author":"B. Brogliato","year":"1996","unstructured":"Brogliato, B., Nonsmooth Impact Mechanics: Models, Dynamics and Control, Lect. Notes Control Inform. Sci., Berlin: Springer-Verlag, 1996, vol. 220."},{"key":"5006_CR7","volume-title":"Optimal Space Trajectories","author":"J.P. Marec","year":"1979","unstructured":"Marec, J.P., Optimal Space Trajectories, New York: Elsevier, 1979."},{"key":"5006_CR8","doi-asserted-by":"crossref","unstructured":"Arutyunov, A., Jacimovic, V., and Lobo Pereira F., Second Order Necessary Conditions for Optimal Impulsive Control Problems, European Control Conference, 2001.","DOI":"10.23919\/ECC.2001.7076348"},{"issue":"1","key":"5006_CR9","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1007\/BF00940040","volume":"71","author":"A. Bressan","year":"1991","unstructured":"Bressan, A. and Rampazzo, F., Impulsive Control Systems with Commutative Vector Fields, J. Optim. Theory Appl., 1991, vol. 71, no. 1, pp. 67\u201383.","journal-title":"J. Optim. Theory Appl."},{"issue":"3","key":"5006_CR10","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1007\/BF02193094","volume":"81","author":"A. Bressan","year":"1994","unstructured":"Bressan, A. and Rampazzo, F., Impulsive Control Systems without Commutativity Assumptions, J. Optim. Theory Appl., 1994, vol. 81, no. 3, pp. 435\u2013457.","journal-title":"J. Optim. Theory Appl."},{"key":"5006_CR11","first-page":"103","volume":"8","author":"V. Dykhta","year":"1990","unstructured":"Dykhta, V., Impulse-trajectory Extension of Degenerate Optimal Control Problems, IMACS Ann. Comput. Appl. Math., 1990, vol. 8, pp. 103\u2013109.","journal-title":"IMACS Ann. Comput. Appl. Math."},{"key":"5006_CR12","volume-title":"Optimal Impulse Control with Applications","author":"V.A. Dykhta","year":"2000","unstructured":"Dykhta, V.A. and Samsonyuk, O.N., Optimal Impulse Control with Applications, Moscow: Nauka, 2000."},{"key":"5006_CR13","first-page":"14","volume":"17","author":"V.I. Gurman","year":"1972","unstructured":"Gurman, V.I., On Optimal Processes with Unbounded Derivatives, Autom. Remote Control, 1972, vol. 17, pp. 14\u201321.","journal-title":"Autom. Remote Control"},{"key":"5006_CR14","unstructured":"Kolokolnikova, G.A., Discontinuous Trajectories Optimality in the Nonlinear Optimal Control Problems, Proc. 13th World Congress of the IFAC, 1996, pp. 353\u2013357."},{"key":"5006_CR15","doi-asserted-by":"crossref","unstructured":"Miller, B.M., The Generalized Solutions of Nonlinear Optimization Problems with Impulse Control, SIAM J. Control Optim., 1996, vol. 34.","DOI":"10.1137\/S0363012994263214"},{"key":"5006_CR16","doi-asserted-by":"crossref","unstructured":"Motta, M. and Rampazzo, F., Space-time Trajectories of Nonlinear Systems Driven by Ordinary and Impulse Controls, Diff. Integral Equat., 1995.","DOI":"10.57262\/die\/1369083469"},{"key":"5006_CR17","first-page":"191","volume":"3","author":"R. Rishel","year":"1965","unstructured":"Rishel, R., An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures, SIAM J. Control, 1965, vol. 3, pp. 191\u2013205.","journal-title":"SIAM J. Control"},{"key":"5006_CR18","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1137\/0326013","volume":"26","author":"R.B. Vinter","year":"1988","unstructured":"Vinter, R.B. and Pereira, F.M., A Maximum Principle for Optimal Processes with Discontinuous Trajectories, SIAM J. Control Optim., 1988, vol. 26, pp. 205\u2013229.","journal-title":"SIAM J. Control Optim."},{"key":"5006_CR19","doi-asserted-by":"publisher","first-page":"1829","DOI":"10.1137\/S0363012995281857","volume":"35","author":"G.N. Silva","year":"1997","unstructured":"Silva, G.N. and Vinter, R.B., Necessary Conditions for Optimal Impulsive Control Problems, SIAM J. Control Optim., 1997, vol. 35, pp, 1829\u20131846.","journal-title":"SIAM J. Control Optim."},{"key":"5006_CR20","first-page":"59","volume":"2","author":"V. Dykhta","year":"1994","unstructured":"Dykhta, V. and Derenko, N., Numerical Methods based on Generalized Stationary Condition for Impulsive Control Problems, in Proc. Workshop Comput. Logics, Algebra Intelligence Control, Irkutsk, 1994, vol. 2, pp. 59\u201370.","journal-title":"Proc. Workshop Comput. Logics, Algebra Intelligence Control"},{"key":"5006_CR21","unstructured":"Baturin, V. and Goncharova, E., Improvement Method based on Approximate Representation of Reachable Set, Autom. Remote Control, 1999, no. 11, pp. 19\u201329."},{"key":"5006_CR22","volume-title":"Approximate Optimal Control Methods based on Extension Principle","author":"V. Baturin","year":"1997","unstructured":"Baturin, V. and Ourbanovich, D., Approximate Optimal Control Methods based on Extension Principle, Novosibirsk: Nauka, 1997."},{"key":"5006_CR23","volume-title":"Methods of Improvement in Computational Experiments","author":"V.I. Gurman","year":"1988","unstructured":"Gurman, V.I., Baturin, V.A., Moskalenko, A.I., et al., Methods of Improvement in Computational Experiments, Novosibirsk: Nauka, 1988."},{"issue":"4","key":"5006_CR24","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1080\/1468936031000075151","volume":"17","author":"F.L. Pereira","year":"2002","unstructured":"Pereira, F.L. and Silva, G.N., Stability for Impulsive Control Systems, Dynam. Syst., 2002, vol. 17, no. 4, pp. 421\u2013434.","journal-title":"Dynam. Syst."},{"issue":"8","key":"5006_CR25","first-page":"1059","volume":"40","author":"F.L. Pereira","year":"2004","unstructured":"Pereira, F.L. and Silva, G.N., Lyapunov Stability of Measure Driven Differential Inclusions, Diff. Uravn., 2004, vol. 40, no. 8, pp. 1059\u20131067.","journal-title":"Diff. Uravn."},{"key":"5006_CR26","volume-title":"Impulse Differential Equations and Hybrid Systems: A Viability Approach","author":"J.-P. Aubin","year":"2000","unstructured":"Aubin, J.-P., Impulse Differential Equations and Hybrid Systems: A Viability Approach, Berkeley: Univ. of California, 2000."},{"issue":"1","key":"5006_CR27","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1109\/9.654885","volume":"43","author":"M. Branicky","year":"1998","unstructured":"Branicky, M., Borkar, V.S., and Mitter, S.K., A Unified Framework for Hybrid Control: Model and Optimal Control Theory, IEEE Trans. Automat. Control, 1998, vol. 43, no. 1, pp. 31\u201345.","journal-title":"IEEE Trans. Automat. Control"},{"key":"5006_CR28","unstructured":"Clarke, F.H., Ledyaev, Yu., Stern, R., and Wolenski, P., Nonsmooth Analysis and Control Theory, Graduate Texts in Mathematics, Springer-Verlag, 1998, vol. 178."}],"container-title":["Automation and Remote Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117908050068.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0005117908050068","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117908050068","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117908050068.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T22:16:39Z","timestamp":1773612999000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0005117908050068"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,5]]},"references-count":28,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2008,5]]}},"alternative-id":["5006"],"URL":"https:\/\/doi.org\/10.1134\/s0005117908050068","relation":{},"ISSN":["0005-1179","1608-3032"],"issn-type":[{"value":"0005-1179","type":"print"},{"value":"1608-3032","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,5]]},"assertion":[{"value":"16 January 2007","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 May 2008","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}