Geodesic
On differential inclusions with positional discontinuous and pulse controls
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 284-299

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The sliding and pulse sliding modes of the controlled systems submitted in the form of differential inclusions are studied. By the method of equivalent control the differential inclusion to which satisfies a limiting pulse sliding mode is obtained. Conditions while this mode is a usual sliding mode for some system with discontinuous positional controls of relay type are received. The example is considered.
Keywords: differential inclusion, discontinuous positional control, sliding mode, impulse sliding mode. 
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     author = {I. A. Finogenko and D. V. Ponomariov},
     title = {On differential inclusions with positional discontinuous and pulse controls},
     journal = {Trudy Instituta matematiki i mehaniki},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a27/}
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I. A. Finogenko; D. V. Ponomariov. On differential inclusions with positional discontinuous and pulse controls. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 284-299. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a27/