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Found 110 Documents (Results 1–100)

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Kuptsov, M. I.; Minaev, V. A.; Faddeev, A. O.; Yablochnikov, S. L.

On the stability of integral manifolds of a system of ordinary differential equations in the critical case. (English. Russian original) Zbl 1500.34033

J. Math. Sci., New York 262, No. 6, 825-834 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 61-70 (2019).
MSC:  34C45 34D35 34D20 34C20 34C05
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\textit{M. I. Kuptsov} et al., J. Math. Sci., New York 262, No. 6, 825--834 (2022; Zbl 1500.34033); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 61--70 (2019)
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Vorotnikov, V. I.; Martyshenko, Yu. G.

On the partial stability problem for nonlinear discrete-time stochastic systems. (English. Russian original) Zbl 1475.93114

Autom. Remote Control 82, No. 9, 1554-1567 (2021); translation from Avtom. Telemekh. 2021, No. 9, 116-132 (2021).
MSC:  93E15 93D30 93C10 93C55
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\textit{V. I. Vorotnikov} and \textit{Yu. G. Martyshenko}, Autom. Remote Control 82, No. 9, 1554--1567 (2021; Zbl 1475.93114); translation from Avtom. Telemekh. 2021, No. 9, 116--132 (2021)
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Lapin, K. S.

Vector Lyapunov functions, complete sets of guiding functions, and the existence of Poisson bounded solutions. (English. Russian original) Zbl 1481.34045

Russ. Math. 65, No. 2, 15-21 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 2, 19-26 (2021).
Reviewer: Babatunde Ogundare (Ile-Ife)
MSC:  34C11
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\textit{K. S. Lapin}, Russ. Math. 65, No. 2, 15--21 (2021; Zbl 1481.34045); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 2, 19--26 (2021)
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Lapin, K. S.

Lyapunov vector functions, Krasnosel’skii canonical domains, and existence of Poisson bounded solutions. (English. Russian original) Zbl 1459.34089

Differ. Equ. 56, No. 10, 1270-1275 (2020); translation from Differ. Uravn. 56, No. 10, 1304-1309 (2020).
Reviewer: Babatunde Ogundare (Ile-Ife)
MSC:  34C11 37C60
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\textit{K. S. Lapin}, Differ. Equ. 56, No. 10, 1270--1275 (2020; Zbl 1459.34089); translation from Differ. Uravn. 56, No. 10, 1304--1309 (2020)
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Filimonov, M. Yu.

Global asymptotic stability with respect to part of the variables for solutions of systems of ordinary differential equations. (English. Russian original) Zbl 1448.34115

Differ. Equ. 56, No. 6, 710-720 (2020); translation from Differ. Uravn. 56, No. 6, 722-731 (2020).
Reviewer: Alexander O. Ignatyev (Donetsk)
MSC:  34D20
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\textit{M. Yu. Filimonov}, Differ. Equ. 56, No. 6, 710--720 (2020; Zbl 1448.34115); translation from Differ. Uravn. 56, No. 6, 722--731 (2020)
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Efimov, Denis; Schiffer, Johannes; Ortega, Romeo

Robustness of delayed multistable systems. (English) Zbl 1447.93310

Valmorbida, Giorgio (ed.) et al., Delays and interconnections: methodology, algorithms and applications. Selected contributions of the 4th DelSys workshop, Gif-sur-Yvette, France, November 25–27, 2015. Cham: Springer. Adv. Delays Dyn. 10, 83-97 (2019).
MSC:  93D25 93C43 93B35
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\textit{D. Efimov} et al., Adv. Delays Dyn. 10, 83--97 (2019; Zbl 1447.93310)
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Vorotnikov, V. I.; Martyshenko, Yu. G.

On the partial stability in probability of nonlinear stochastic systems. (English. Russian original) Zbl 1420.93035

Autom. Remote Control 80, No. 5, 856-866 (2019); translation from Avtom. Telemekh. 2019, No. 5, 86-98 (2019).
MSC:  93E15 93C10 93C20 93C15 60H10 60H15
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\textit{V. I. Vorotnikov} and \textit{Yu. G. Martyshenko}, Autom. Remote Control 80, No. 5, 856--866 (2019; Zbl 1420.93035); translation from Avtom. Telemekh. 2019, No. 5, 86--98 (2019)
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Lapin, K. S.

Higher-order derivatives of Lyapunov functions and ultimate boundedness in the sense of Poisson of solutions to systems of differential equations. (English. Russian original) Zbl 1415.34065

Sib. Math. J. 59, No. 6, 1100-1104 (2018); translation from Sib. Mat. Zh. 59, No. 6, 1383-1388 (2018).
Reviewer: Adeleke Timothy Ademola (Ile-Ife)
MSC:  34C11
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\textit{K. S. Lapin}, Sib. Math. J. 59, No. 6, 1100--1104 (2018; Zbl 1415.34065); translation from Sib. Mat. Zh. 59, No. 6, 1383--1388 (2018)
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Filimonov, M. Yu.

On global asymptotic stability of solutions of a system of ordinary differential equations. (English) Zbl 1465.34069

Pasheva, Vesela (ed.) et al., Proceedings of the 43rd international conference on applications of mathematics in engineering and economics, AMEE’17, Sozopol, Bulgaria, June 8–13, 2017. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1910, Article 040009, 5 p. (2017).
MSC:  34D08 34E15 34B15
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\textit{M. Yu. Filimonov}, AIP Conf. Proc. 1910, Article 040009, 5 p. (2017; Zbl 1465.34069)
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Lapin, K. S.

Higher-order derivatives of Lyapunov functions and partial boundedness of solutions with partially controllable initial conditions. (English. Russian original) Zbl 1381.34051

Math. Notes 101, No. 6, 1000-1008 (2017); translation from Mat. Zametki 101, No. 6, 883-893 (2017).
Reviewer: Cemil Tunç (Van)
MSC:  34C11
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\textit{K. S. Lapin}, Math. Notes 101, No. 6, 1000--1008 (2017; Zbl 1381.34051); translation from Mat. Zametki 101, No. 6, 883--893 (2017)
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Andreev, A. S.; Peregudova, O. A.

On stabilization of program motions of holonomic mechanical system. (English. Russian original) Zbl 1348.93210

Autom. Remote Control 77, No. 3, 416-427 (2016); translation from Avtom. Telemekh. 2016, No. 3, 66-80 (2016).
MSC:  93D05 93D30 70F20 93C15
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\textit{A. S. Andreev} and \textit{O. A. Peregudova}, Autom. Remote Control 77, No. 3, 416--427 (2016; Zbl 1348.93210); translation from Avtom. Telemekh. 2016, No. 3, 66--80 (2016)
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Mukharlyamov, R. G.

Simulation of control processes, stability and stabilization of systems with program constraints. (English. Russian original) Zbl 1317.93136

J. Comput. Syst. Sci. Int. 54, No. 1, 13-26 (2015); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2015, No. 1, 15-28 (2015).
MSC:  93C15 93D99 93A15
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\textit{R. G. Mukharlyamov}, J. Comput. Syst. Sci. Int. 54, No. 1, 13--26 (2015; Zbl 1317.93136); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2015, No. 1, 15--28 (2015)
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Lapin, K. S.

Ultimate boundedness with respect to part of the variables of solutions of systems of differential equations with partly controlled initial conditions. (English. Russian original) Zbl 1298.34066

Differ. Equ. 49, No. 10, 1246-1251 (2013); translation from Differ. Uravn. 49, No. 10, 1281-1286 (2013).
MSC:  34C11
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\textit{K. S. Lapin}, Differ. Equ. 49, No. 10, 1246--1251 (2013; Zbl 1298.34066); translation from Differ. Uravn. 49, No. 10, 1281--1286 (2013)
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Dashkovskiy, S. N.; Efimov, D. V.; Sontag, E. D.

Input to state stability and allied system properties. (English. Russian original) Zbl 1235.93221

Autom. Remote Control 72, No. 8, 1579-1614 (2011); translation from Avtom. Telemekh. 2011, No. 8, 3-40 (2011).
MSC:  93D25 93C10 93C15 34H05 93-02
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\textit{S. N. Dashkovskiy} et al., Autom. Remote Control 72, No. 8, 1579--1614 (2011; Zbl 1235.93221); translation from Avtom. Telemekh. 2011, No. 8, 3--40 (2011)
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Aleksandrov, A. Yu.; Kosov, A. A.

The stability and stabilization of nonlinear, non-stationary mechanical systems. (English. Russian original) Zbl 1272.70090

J. Appl. Math. Mech. 74, No. 5, 553-562 (2010); translation from Prikl. Mat. Mekh. 74, No. 5, 774-788 (2010).
MSC:  70K20
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\textit{A. Yu. Aleksandrov} and \textit{A. A. Kosov}, J. Appl. Math. Mech. 74, No. 5, 553--562 (2010; Zbl 1272.70090); translation from Prikl. Mat. Mekh. 74, No. 5, 774--788 (2010)
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Vorotnikov, V. I.; Martyshenko, Yu. G.

On partial stability theory of nonlinear dynamic systems. (English. Russian original) Zbl 1268.93127

J. Comput. Syst. Sci. Int. 49, No. 5, 702-709 (2010); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2010, No. 5, 23-31 (2010).
MSC:  93D20 93C10 93C15 70Q05
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\textit{V. I. Vorotnikov} and \textit{Yu. G. Martyshenko}, J. Comput. Syst. Sci. Int. 49, No. 5, 702--709 (2010; Zbl 1268.93127); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2010, No. 5, 23--31 (2010)
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Aleksandrov, A. Yu.; Kosov, A. A.

Stability and stabilization of equilibrium positions of nonlinear nonautonomous mechanical systems. (English. Russian original) Zbl 1308.93179

J. Comput. Syst. Sci. Int. 48, No. 4, 511-520 (2009); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2009, No. 4, 13-23 (2009).
MSC:  93D09 70Q05 93C10 93D21
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\textit{A. Yu. Aleksandrov} and \textit{A. A. Kosov}, J. Comput. Syst. Sci. Int. 48, No. 4, 511--520 (2009; Zbl 1308.93179); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2009, No. 4, 13--23 (2009)
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Kalitin, B. S.

Instability of closed invariant sets of semidynamical systems: method of sign-constant Lyapunov functions. (English. Russian original) Zbl 1185.34070

Math. Notes 85, No. 3, 374-384 (2009); translation from Mat. Zametki 85, No. 3, 382-394 (2009).
Reviewer: Ion Mihai (Bucureşti)
MSC:  34D20 34D35 34K20 93D05
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\textit{B. S. Kalitin}, Math. Notes 85, No. 3, 374--384 (2009; Zbl 1185.34070); translation from Mat. Zametki 85, No. 3, 382--394 (2009)
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Vorotnikov, V. I.; Martyshenko, Yu. G.

On partial detectability of the nonlinear dynamic systems. (English. Russian original) Zbl 1163.93383

Autom. Remote Control 70, No. 1, 20-32 (2009); translation from Avtom. Telemekh. 2009, No. 1, 25-38 (2009).
MSC:  93D20 93C10 93C15
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\textit{V. I. Vorotnikov} and \textit{Yu. G. Martyshenko}, Autom. Remote Control 70, No. 1, 20--32 (2009; Zbl 1163.93383); translation from Avtom. Telemekh. 2009, No. 1, 25--38 (2009)
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Rumyantsev, V. V.; Andreev, A. S.

Stabilization of motion of nonstationary controlled system. (English. Russian original) Zbl 1379.93079

Dokl. Phys. 52, No. 10, 568-570 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 5, 627-628 (2007).
MSC:  93D15 49N35 93B50
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\textit{V. V. Rumyantsev} and \textit{A. S. Andreev}, Dokl. Phys. 52, No. 10, 568--570 (2007; Zbl 1379.93079); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 5, 627--628 (2007)
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Druzhinina, O. V.; Shestakov, A. A.

On the exponential nonrigidity of trajectories of dynamic systems. (English. Russian original) Zbl 1185.53044

Dokl. Phys. 52, No. 6, 326-329 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 414, No. 4, 480-483 (2007).
MSC:  53C22 37C10 53D25
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\textit{O. V. Druzhinina} and \textit{A. A. Shestakov}, Dokl. Phys. 52, No. 6, 326--329 (2007; Zbl 1185.53044); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 414, No. 4, 480--483 (2007)
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Gladilina, R. I.; Ignat’ev, A. O.

On retention of impulsive system stability under perturbations. (English. Russian original) Zbl 1145.93358

Autom. Remote Control 68, No. 8, 1364-1371 (2007); translation from Avtom. Telemekh. 2007, No. 8, 78-85 (2007).
MSC:  93C15 93C10 93C73 93D20
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\textit{R. I. Gladilina} and \textit{A. O. Ignat'ev}, Autom. Remote Control 68, No. 8, 1364--1371 (2007; Zbl 1145.93358); translation from Avtom. Telemekh. 2007, No. 8, 78--85 (2007)
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Andreev, A. S.; Rumyantsev, V. V.

On motion stabilization of nonstationary controlled system. (English. Russian original) Zbl 1145.93043

Autom. Remote Control 68, No. 8, 1309-1321 (2007); translation from Avtom. Telemekh. 2007, No. 8, 18-31 (2007).
MSC:  93D99 93C15 93C10
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\textit{A. S. Andreev} and \textit{V. V. Rumyantsev}, Autom. Remote Control 68, No. 8, 1309--1321 (2007; Zbl 1145.93043); translation from Avtom. Telemekh. 2007, No. 8, 18--31 (2007)
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Andreev, A. S.; Pavlikov, S. V.

The stability of a nonautonomous functional-differential equation relative to part of the variables. (English. Russian original) Zbl 0942.34064

Appl. Math. Mech. 63, No. 1, 1-8 (1999); translation from Prikl. Mat. Mekh. 63, No. 1, 3-12 (1999).
Reviewer: A. A. Martynyuk (Kyïv)
MSC:  34K20 34K35 34K60 70E17 34H05
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\textit{A. S. Andreev} and \textit{S. V. Pavlikov}, Prikl. Mat. Mekh. 63, No. 1, 3--12 (1999; Zbl 0942.34064); translation from Prikl. Mat. Mekh. 63, No. 1, 3--12 (1999)
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Andreev, A. S.; Bezglasnyi, S. P.

Stabilization of controlled systems with a guaranteed estimation of the control quality. (English. Russian original) Zbl 1040.93532

J. Appl. Math. Mech. 61, No. 1, 41-47 (1997); translation from Prikl. Mat. Mekh. 61, No. 1, 44-51 (1997).
MSC:  93D15 34H05 70M20 70Q05 93C10
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\textit{A. S. Andreev} and \textit{S. P. Bezglasnyi}, Prikl. Mat. Mekh. 61, No. 1, 41--47 (1997; Zbl 1040.93532); translation from Prikl. Mat. Mekh. 61, No. 1, 44--51 (1997)
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Bakan, G. M.; Volosov, V. V.; Kussul’, N. N.

State estimation in continuous dynamic systems by the ellipsoid method. (English. Russian original) Zbl 0906.93034

Cybern. Syst. Anal. 32, No. 6, 804-820 (1996); translation from Kibern. Sist. Anal. 1996, No. 6, 72-91 (1996).
Reviewer: T.F.Filippova (Ekaterinburg)
MSC:  93C41 93B07 90C05
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\textit{G. M. Bakan} et al., Cybern. Syst. Anal. 32, No. 6, 804--820 (1996; Zbl 0906.93034); translation from Kibern. Sist. Anal. 1996, No. 6, 72--91 (1996)
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Bolgrabskaya, I. A.

A justification for investigating the dynamic properties of an elastic bar using a model of a system of coupled rigid bodies. (English. Russian original) Zbl 0881.73053

J. Appl. Math. Mech. 60, No. 2, 343-347 (1996); translation from Prikl. Mat. Mekh. 60, No. 2, 346-350 (1996).
MSC:  74K10
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\textit{I. A. Bolgrabskaya}, J. Appl. Math. Mech. 60, No. 2, 343--347 (1996; Zbl 0881.73053); translation from Prikl. Mat. Mekh. 60, No. 2, 346--350 (1996)
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