Abstract:
We solve the complete controllability problem for linear autonomous systems of neutral type with many commensurable delays in the case when a system solution is required to be an absolutely continuous functions. We propose a control method for the said objects if they do not have the complete controllability property.
Citation:
V. E. Khartovskii, A. T. Pavlovskaya, “Complete controllability and controllability for linear autonomous systems of neutral type”, Avtomat. i Telemekh., 2013, no. 5, 59–79; Autom. Remote Control, 74:5 (2013), 769–784
\Bibitem{KhaPav13}
\by V.~E.~Khartovskii, A.~T.~Pavlovskaya
\paper Complete controllability and controllability for linear autonomous systems of neutral type
\jour Avtomat. i Telemekh.
\yr 2013
\issue 5
\pages 59--79
\mathnet{http://mi.mathnet.ru/at4983}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3219965}
\zmath{https://zbmath.org/?q=an:1269.93011}
\transl
\jour Autom. Remote Control
\yr 2013
\vol 74
\issue 5
\pages 769--784
\crossref{https://doi.org/10.1134/S0005117913050032}
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Linking options:
https://www.mathnet.ru/eng/at4983
https://www.mathnet.ru/eng/at/y2013/i5/p59
This publication is cited in the following 30 articles:
A. V. Metel'skii, “Spectrum Assignment for a System of Neutral
Type”, Diff Equat, 60:1 (2024), 101
V. E. Khartovskii, “Finite Stabilization and Finite Spectrum Assignment
by a Single Controller Based on Incomplete Measurements for Linear Systems of the Neutral
Type”, Diff Equat, 60:5 (2024), 655
Metel'skii V A., Khartovskii V.E., “Exact Reconstruction of the Solution For Linear Neutral Type Systems”, Differ. Equ., 57:2 (2021), 251–271
Hancer E., Hodashinsky I., Sarin K., Slezkin A., “A Wrapper Metaheuristic Framework For Handwritten Signature Verification”, Soft Comput., 25:13 (2021), 8665–8681
V. E. Khartovskii, “O nekotorykh zadachakh upravlyaemosti i nablyudaemosti dlya differentsialno-algebraicheskikh sistem s posledeistviem”, Tr. In-ta matem., 29:1-2 (2021), 126–137
Rabah Rabah, “On exact controllability and complete stabilizability for linear systems”, MAMM, 2021, no. 94, 4
Pavel Barkhayev, Rabah Rabah, Grigory Sklyar, SEMA SIMAI Springer Series, 2, Stabilization of Distributed Parameter Systems: Design Methods and Applications, 2021, 1
Khartovskii V.E., “Synthesis of Observers For Linear Systems of Neutral Type”, Differ. Equ., 55:3 (2019), 404–417
A. V. Metel'skii, V. E. Khartovskii, “Finite observer design for linear systems of neutral type”, Autom. Remote Control, 80:12 (2019), 2152–2169
Davies I. Haas O.C.L., “Absolute Stability Results For Low Gain Integral Control Problem of Neutral Type in the Presence of Quantization”, 2019 25Th IEEE International Conference on Automation and Computing (Icac), ed. Yu H., IEEE, 2019, 28–34
Khartovskii V.E., “Asymptotic Estimates of Solutions of Linear Time-Invariant Systems of the Neutral Type With Commensurable Delays”, Differ. Equ., 55:12 (2019), 1649–1664
Bardamova M., Hodashinsky I., Konev A., Shelupanov A., “Application of the Gravitational Search Algorithm For Constructing Fuzzy Classifiers of Imbalanced Data”, Symmetry-Basel, 11:12 (2019), 1458
I Davies, O. C. L. Haas, 2019 25th International Conference on Automation and Computing (ICAC), 2019, 1
Zh. Liu, C. Gao, H. Xiao, Y. Kao, “Non-fragile observer-based H∞H∞ control for uncertain neutral-type systems via sliding mode technique”, Asian J. Control, 19:2 (2017), 659–671
V. E. Khartovskii, “Modal controllability for systems of neutral type in classes of differential-difference controllers”, Autom. Remote Control, 78:11 (2017), 1941–1954
R. Rabah, G. Sklyar, P. Barkhayev, “Exact null controllability, complete stabilizability and continuous final observability of neutral type systems”, Int. J. Appl. Math. Comput. Sci., 27:3 (2017), 489–499
V. E. Khartovskii, “Spectral reduction of linear systems of the neutral type”, Differ. Equ., 53:3 (2017), 366–381
A. V. Metel'skii, V. E. Khartovskii, “Synthesis of damping controllers for the solution of completely regular differential-algebraic delay systems”, Differ. Equ., 53:4 (2017), 539–550
R. Rabah, G. M. Sklyar, “Exact observability and controllability for linear neutral type systems”, Syst. Control Lett., 89 (2016), 8–15
R. Rabah, G. M. Sklyar, P. Yu. Barkhayev, “On exact controllability of time-delay systems of neutral type”, Ukr. Math. J., 68:6 (2016), 910–927