Geodesic
On stability of linear systems with impulsive action at the matrix
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 29-32

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We discuss properties of stability and asymptotic stability of solutions to linear systems of differential equations with generalized actions in matrices of systems. We obtain sufficient conditions that guarantee the stability and asymptotic stability of solutions to these system. A distinctive feature of systems considered is the fact that the right-hand sides of systems contain the ill-posed operation of multiplication of discontinuous functions by generalized functions.
Keywords: differential equation, stability, asymptotic stability.
Mots-clés : impulsive action 
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     author = {N. I. Zhelonkina and A. N. Sesekin},
     title = {On stability of linear systems with impulsive action at the matrix},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {29--32},
     publisher = {mathdoc},
     volume = {132},
     year = {2017},
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N. I. Zhelonkina; A. N. Sesekin. On stability of linear systems with impulsive action at the matrix. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 29-32. http://geodesic.mathdoc.fr/item/INTO_2017_132_a6/