V. I. Vorotnikov, Yu. G. Martyshenko, “On partial detectability of the nonlinear dynamic systems”, Avtomat. i Telemekh., 2009, no. 1, 25–38; Autom. Remote Control, 70:1 (2009), 20

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Avtomatika i Telemekhanika, 2009, Issue 1, Pages 25–38 (Mi at6)

This article is cited in 12 scientific papers (total in 12 papers)

Deterministic Systems

On partial detectability of the nonlinear dynamic systems

V. I. Vorotnikov^a, Yu. G. Martyshenko^b

^a Ural State Technical University
^b Nizhny Tagil Technological Institute (branch) of Ural State Technical University

Full-text PDF (297 kB) Citations (12)

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Abstract: Conditions were obtained under which the uniform stability (uniform asymptotic stability) in one part of the variables of the zero equilibrium position of the nonlinear nonstationary system of ordinary differential equations implies the uniform stability (uniform asymptotic stability) of this equilibrium position relative to another, larger part of variables. Conditions were also obtained under which the uniform stability (uniform asymptotic stability) in one part of variables of the “partial” (zero) equilibrium position of the nonlinear nonstationary system of ordinary differential equations implies the uniform stability (uniform asymptotic stability) of this equilibrium position. These conditions complement a number of the well-known results of the theory of partial stability and partial detectability of the nonlinear dynamic systems. Application of the results obtained to the problems of partial stabilization of the nonlinear control systems was considered.

Presented by the member of Editorial Board: L. B. Rapoport

Received: 04.06.2007

English version:
Automation and Remote Control, 2009, Volume 70, Issue 1, Pages 20–32
DOI: https://doi.org/10.1134/S0005117909010020

Bibliographic databases:

Document Type: Article

PACS: 02.30.Yy

Language: Russian

Citation: V. I. Vorotnikov, Yu. G. Martyshenko, “On partial detectability of the nonlinear dynamic systems”, Avtomat. i Telemekh., 2009, no. 1, 25–38; Autom. Remote Control, 70:1 (2009), 20–32

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/at6

https://www.mathnet.ru/eng/at/y2009/i1/p25

This publication is cited in the following 12 articles:

V. I. Vorotnikov, Yu. G. Martyshenko, “Approach to the Stability Analysis of Partial Equilibrium States of Nonlinear Discrete Systems”, J. Comput. Syst. Sci. Int., 61:3 (2022), 348
V. I. Vorotnikov, “On partial stability and detectability of functional differential systems with aftereffect”, Autom. Remote Control, 81:2 (2020), 199–210
V. I. Vorotnikov, Yu. G. Martyshenko, “On Problem of Partial Detectability for Nonlinear Discrete-Time Systems”, Mehatronika, avtomatizaciâ, upravlenie, 21:3 (2020), 136
V. I. Vorotnikov, Yu. G. Martyshenko, “On the partial stability in probability of nonlinear stochastic systems”, Autom. Remote Control, 80:5 (2019), 856–866
V. I. Vorotnikov, “On Problem of Partial Stability for Functional Differential Systems with Holdover”, Mehatronika, avtomatizaciâ, upravlenie, 20:7 (2019), 398
K. S. Lapin, “Higher-Order Derivatives of Lyapunov Functions and Partial Boundedness of Solutions with Partially Controllable Initial Conditions”, Math. Notes, 101:6 (2017), 1000–1008
Kao Y., Wang Ch., Zha F., Cao H., “Stability in Mean of Partial Variables for Stochastic Reaction-Diffusion Systems with Markovian Switching”, J. Frankl. Inst.-Eng. Appl. Math., 351:1 (2014), 500–512
Kao Y., Karimi H.R., “Stability in Mean of Partial Variables For Coupled Stochastic Reaction-Diffusion Systems on Networks: a Graph Approach”, Abstract Appl. Anal., 2014, 597502
Vorotnikov V.I., Martyshenko Yu.G., Feofanova V.A., “K nelineinoi igrovoi zadache trekhosnoi pereorientatsii trekhrotornogo girostata”, Sistemy upravleniya i informatsionnye tekhnologii, 47:1 (2012), 19–23
V. I. Vorotnikov, Yu. G. Martyshenko, “On the nonlinear uniaxial reorientation problem for a three-rotor gyrostat in the game noise model”, Autom. Remote Control, 73:9 (2012), 1469–1480
Vorotnikov V.I., Martyshenko Yu.G., “K zadache stabilizatsii zadannoi orientatsii asimmetrichnogo tverdogo tela”, Sistemy upravleniya i informatsionnye tekhnologii, 43:1 (2011), 56–60
Vorotnikov V.I., Martyshenko Yu.G., “K nelineinoi igrovoi zadache odnoosnoi pereorientatsii trekhrotornogo girostata”, Sistemy upravleniya i informatsionnye tekhnologii, 45:3 (2011), 59–63

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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