Geodesic
Invariance defect of sets with respect to differential inclusion
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2011), pp. 98-111

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A differential inclusion generated by a control system on a finite time interval is considered. The invariance of sets with respect to differential inclusion is investigated. The invariance defect of non-invariant sets with respect to differential inclusion is introduced. An example is presented.
Keywords: control system, differential inclusion, Hamiltonian, invariance, invariance defect. 
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     author = {V. N. Ushakov and A. A. Zimovets},
     title = {Invariance defect of sets with respect to differential inclusion},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {98--111},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_2_a6/}
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V. N. Ushakov; A. A. Zimovets. Invariance defect of sets with respect to differential inclusion. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2011), pp. 98-111. http://geodesic.mathdoc.fr/item/VUU_2011_2_a6/