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Optimization of oscillation damping modes of a spatial double pendulum. I: Formulation of the problem. (English. Russian original) Zbl 07584695

Vestn. St. Petersbg. Univ., Math. 55, No. 2, 243-248 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 358-366 (2022).
MSC:  70-XX 70Bxx 70Qxx
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Optimization of oscillation damping in systems with a noninteger number of degrees of freedom. (English. Russian original) Zbl 07584681

Vestn. St. Petersbg. Univ., Math. 55, No. 1, 116-123 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 164-175 (2022).
MSC:  70-XX 34Axx 34Cxx
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Stability of the equilibrium state of a rigid body with multilayer ideal liquid separated by elastic plates. (English. Ukrainian original) Zbl 07557375

Ukr. Math. J. 73, No. 10, 1551-1565 (2022); translation from Ukr. Mat. Zh. 73, No. 10, 1342-1354 (2021).
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Synthesis of invariant nonlinear single-channel sigmoid feedback tracking systems ensuring given tracking accuracy. (English. Russian original) Zbl 1485.93173

Autom. Remote Control 83, No. 1, 32-53 (2022); translation from Avtom. Telemekh. 2022, No. 1, 40-66 (2022).
MSC:  93B50 93B52 93C10
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Equilibria and oscillations in a reversible mechanical system. (English. Russian original) Zbl 07485544

Vestn. St. Petersbg. Univ., Math. 54, No. 4, 447-451 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 709-715 (2021).
MSC:  70Kxx 34Cxx 54Hxx
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Simulation studies of inverted pendulum based on VSC using whale optimization algorithm. (English) Zbl 1482.93111

Kumar, Rajesh (ed.) et al., Intelligent algorithms for analysis and control of dynamical systems. Selected papers based on the presentations at the the international conference on advances in systems, control and computing, AISCC-2020, Jaipur, India, February 27–28, 2020. Singapore: Springer. Algorithms Intell. Syst., 61-68 (2021).
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Slosh analyzes of a full vehicle-tank model with SDRE control with a hydraulic damper. (English) Zbl 07457846

Awrejcewicz, Jan (ed.), Perspectives in dynamical systems III: control and stability. Selected papers based on the presentations at the 15th international conference on dynamical systems – theory and applications, DSTA, Łódź, Poland, December 2–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 364, 83-93 (2021).
MSC:  76B10 76B75 70Q05
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Pendulum accelerometer with digital control and new functionality. (English. Russian original) Zbl 1476.93113

J. Comput. Syst. Sci. Int. 60, No. 2, 248-270 (2021); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2021, No. 2, 71-93 (2021).
MSC:  93C62 93B52 93C80
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Areas of attraction of a pendulum under the influence of oblique vibration of a suspension point. (English. Russian original) Zbl 1476.93134

Vestn. St. Petersbg. Univ., Math. 54, No. 3, 273-281 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 3, 511-522 (2021).
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The inverse problem of stabilization of a spherical pendulum in a given position under oblique vibration. (English. Russian original) Zbl 1477.70007

Vestn. St. Petersbg. Univ., Math. 54, No. 2, 151-161 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 2, 255-269 (2021).
MSC:  70E50 70E17 74H45
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Emergence and decay of \(\pi \)-kinks in the sine-Gordon model with high-frequency pumping. (English. Russian original) Zbl 1458.35118

J. Math. Sci., New York 252, No. 2, 175-189 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 53-66 (2018).
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External and internal resonances in a mass-spring-damper system with 3-dof. (English) Zbl 1479.70054

Lacarbonara, Walter (ed.) et al., Nonlinear dynamics of structures, systems and devices. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume I. Cham: Springer. 169-178 (2020).
MSC:  70K28
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Stability boundary approximation of periodic dynamics. (English) Zbl 1479.70051

Lacarbonara, Walter (ed.) et al., Nonlinear dynamics of structures, systems and devices. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume I. Cham: Springer. 13-23 (2020).
MSC:  70K20
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On the influence of stiffness on the stability of equilibrium of a mechanical system without complete dissipation. (English. Russian original) Zbl 1465.70032

Mech. Solids 55, No. 7, 1021-1029 (2020); translation from Prikl. Mat. Mekh. 83, No. 4, 597-607 (2019).
MSC:  70E50
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Probabilistic criterion-based optimal retention of trajectories of a discrete-time stochastic system in a given tube: bilateral estimation of the Bellman function. (English. Russian original) Zbl 1454.93294

Autom. Remote Control 81, No. 10, 1819-1839 (2020); translation from Avtom. Telemekh. 2020, No. 10, 93-117 (2020).
MSC:  93E20 93C55 90C39
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Nonlinear behavior of pendulum-tuned mass dampers for vibration control of H-section hangers. (English) Zbl 1454.93182

Lacarbonara, Walter (ed.) et al., Nonlinear dynamics and control. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume II. Cham: Springer. 69-77 (2020).
MSC:  93C80 93C10 70Q05
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Asymptotics of solutions of the nonlinear oscillator model with natural boundary conditions. (English. Russian original) Zbl 1464.34040

J. Math. Sci., New York 247, No. 6, 877-887 (2020); translation from Probl. Mat. Anal. 102, 109-118 (2020).
MSC:  34B08 34C15
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On the dynamic stability of impulsive mechanical systems with delay. (English. Ukrainian original) Zbl 1460.93083

J. Math. Sci., New York 246, No. 3, 337-351 (2020); translation from Neliniĭni Kolyvannya 21, No. 4, 473-484 (2018).
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