Geodesic
On the zero dynamics of one class of distributed discrete systems
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 1, pp. 57-62
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For a class of two-parametric discrete systems with one-dimensional input and output variables, we construct a feedback and a subspace $L$ of initial conditions that is invariant under a closed system and such that all the solutio ns from this subspace make the output function vanish. We propose two methods of constructing equations with the phase space $L$ that determine such solutions.
Keywords: two-parameter discrete systems, zero dynamics. 
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I. V. Gaishun. On the zero dynamics of one class of distributed discrete systems. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 1, pp. 57-62. http://geodesic.mathdoc.fr/item/TIMM_2010_16_1_a5/

[1] Ilin A. V., Korovin S. K., Fomichev V. V., “Ob uravneniyakh i svoistvakh nulevoi dinamiki lineinykh upravlyaemykh statsionarnykh sistem”, Differents. uravneniya, 42:12 (2006), 1626–1636 | MR

[2] Gaishun I. V., “O nulevoi dinamike lineinykh nestatsionarnykh diskretnykh sistem s odnim vkhodom i skalyarnym vykhodom”, Differents. uravneniya, 44:5 (2008), 701–708 | MR

[3] Gaishun I. V., Mnogoparametricheskie sistemy upravleniya, Nauka i tekhnika, Minsk, 1996, 199 pp. | MR

[4] Krasovskii N. N., Teoriya upravleniya dvizheniem, Nauka, M., 1968, 476 pp. | MR

[5] Gaishun I. V., “Kanonicheskie formy lineinykh diskretnykh dvukhparametricheskikh sistem”, Differents. uravneniya, 35:7 (1999), 964–968 | MR

[6] Gantmakher R. F., Teoriya matrits, Nauka, M., 1988, 575 pp. | MR | Zbl