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1دورية أكاديمية
المؤلفون: Li, Mengmeng, Fečkan, Michal, Wang, JinRong
مصطلحات موضوعية: keyword:finite time stability, keyword:relative controllability, keyword:second order, keyword:delayed matrix function, msc:34K05, msc:93C05
وصف الملف: application/pdf
العلاقة: mr:MR4586124; zbl:Zbl 07729499; reference:[1] Diblík, J., Fečkan, M., Pospíšil, M.: Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices.Ukr. Math. J. 65 (2013), 64-76. Zbl 1283.34057, MR 3104884, 10.1007/s11253-013-0765-y; reference:[2] Diblík, J., Fečkan, M., Pospíšil, M.: On the new control functions for linear discrete delay systems.SIAM J. Control Optim. 52 (2014), 1745-1760. Zbl 1295.93008, MR 3206982, 10.1137/140953654; reference:[3] Diblík, J., Khusainov, D. Y., Růžičková, M.: Controllability of linear discrete systems with constant coefficients and pure delay.SIAM J. Control Optim. 47 (2008), 1140-1149. Zbl 1161.93004, MR 2407011, 10.1137/070689085; reference:[4] Elshenhab, A. M., Wang, X. T.: Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices.Appl. Math. Comput. 410 (2021), Article ID 126443, 13 pages. Zbl 07425968, MR 4274895, 10.1016/j.amc.2021.126443; reference:[5] Fečkan, M., Wang, J., Zhou, Y.: Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators.J. Optim. Theory Appl. 156 (2013), 79-95. Zbl 1263.93031, MR 3019302, 10.1007/s10957-012-0174-7; reference:[6] Gantmakher, F. R.: Theory of Matrices.Nauka, Moskva (1988), Russian. Zbl 0666.15002, MR 0986246; reference:[7] Khusainov, D. Y., Diblík, J., Růžičková, M., Lukáčová, J.: Representation of a solution of the Cauchy problem for an oscillating system with pure delay.Nonlinear Oscil., N.Y. 11 (2008), 276-285. Zbl 1276.34055, MR 2510692, 10.1007/s11072-008-0030-8; reference:[8] Khusainov, D. Y., Shuklin, G. V.: Relative controllability in systems with pure delay.Int. Appl. Mech. 41 (2005), 210-221. Zbl 1100.34062, MR 2190935, 10.1007/s10778-005-0079-3; reference:[9] Lazarević, M. P., Spasić, A. M.: Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach.Math. Comput. Modelling 49 (2009), 475-481. Zbl 1165.34408, MR 2483650, 10.1016/j.mcm.2008.09.011; reference:[10] Li, M., Wang, J.: Finite time stability of fractional delay differential equations.Appl. Math. Lett. 64 (2017), 170-176. Zbl 1354.34130, MR 3564757, 10.1016/j.aml.2016.09.004; reference:[11] Li, M., Wang, J.: Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations.Appl. Math. Comput. 324 (2018), 254-265. Zbl 1426.34110, MR 3743671, 10.1016/j.amc.2017.11.063; reference:[12] Li, X., Yang, X., Song, S.: Lyapunov conditions for finite-time stability of time-varying time-delay systems.Automatica 103 (2019), 135-140. Zbl 1415.93188, MR 3911637, 10.1016/j.automatica.2019.01.031; reference:[13] Liang, C., Wang, J., O'Regan, D.: Controllability of nonlinear delay oscillating systems.Electron. J. Qual. Theory Differ. Equ. 2017 (2017), Article ID 47, 18 pages. Zbl 1413.34256, MR 3661723, 10.14232/ejqtde.2017.1.47; reference:[14] Liang, C., Wang, J., O'Regan, D.: Representation of a solution for a fractional linear system with pure delay.Appl. Math. Lett. 77 (2018), 72-78. Zbl 1462.34105, MR 3725232, 10.1016/j.aml.2017.09.015; reference:[15] Pospíšil, M.: Relative controllability of neutral differential equations with a delay.SIAM J. Control Optim. 55 (2017), 835-855. Zbl 1368.34093, MR 3625799, 10.1137/15M1024287; reference:[16] Pospíšil, M.: Representation of solutions of systems of linear differential equations with multiple delays and nonpermutable variable coefficients.Math. Model. Anal. 25 (2020), 303-322. Zbl 1476.34143, MR 4116589, 10.3846/mma.2020.11194; reference:[17] Si, Y., Wang, J., Fečkan, M.: Controllability of linear and nonlinear systems governed by Stieltjes differential equations.Appl. Math. Comput. 376 (2020), Article ID 125139, 24 pages. Zbl 1475.93015, MR 4070317, 10.1016/j.amc.2020.125139; reference:[18] Wang, J., Fečkan, M., Zhou, Y.: Controllability of Sobolev type fractional evolution systems.Dyn. Partial Differ. Equ. 11 (2014), 71-87. Zbl 1314.47117, MR 3194051, 10.4310/DPDE.2014.v11.n1.a4; reference:[19] Wu, G.-C., Baleanu, D., Zeng, S.-D.: Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion.Commun. Nonlinear Sci. Numer. Simul. 57 (2018), 299-308. Zbl 07263288, MR 3724839, 10.1016/j.cnsns.2017.09.001; reference:[20] You, Z., Wang, J., O'Regan, D., Zhou, Y.: Relative controllability of delay differential systems with impulses and linear parts defined by permutable matrices.Math. Methods Appl. Sci. 42 (2019), 954-968. Zbl 1410.34235, MR 3905829, 10.1002/mma.5400
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2دورية أكاديمية
المؤلفون: Qayyum, Atif, Pironti, Alfredo
مصطلحات موضوعية: keyword:differential LMIs, keyword:finite time stability, keyword:guaranteed cost control, keyword:robust control, keyword:state feedback control, msc:93B50, msc:93B51, msc:93D15
وصف الملف: application/pdf
العلاقة: mr:MR3893136; zbl:Zbl 07031760; reference:[1] Amato, F., Ambrosino, R., Ariola, M., Cosentino, C., Tommasi, G. De: Finite-Time Stability and Control.Springer Verlag, 2014. MR 3157178; reference:[2] Amato, F., Ambrosino, R., Ariola, M., Tommasi, G. De: Robust finite-time stability of impulsive dynamical linear systems subject to norm-bounded uncertainties.Int. J. Robust Nonlinear Control 21 (2011), 1080-1092. MR 2839840, 10.1002/rnc.1620; reference:[3] Amato, F., Ariola, M., Cosentino, C.: Finite-time stability of linear time-varying systems: Analysis and controller design.IEEE Trans. Automat. Control 55 (2010), 4, 1003-1008. MR 2654445, 10.1109/tac.2010.2041680; reference:[4] Amato, F., Ariola, M., Cosentino, C.: Robust finite-time stabilisation of uncertain linear systems.Int. J. Control 84 (2011), 12, 2117-2127. 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3دورية أكاديمية
المؤلفون: Kallel, Wajdi, Kharrat, Thouraya
مصطلحات موضوعية: keyword:feedback stabilization, keyword:homogeneous system, keyword:nonlinear control systems, keyword:Lyapunov function, keyword:finite time stability, msc:93D05, msc:93D15
وصف الملف: application/pdf
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4دورية أكاديمية
المؤلفون: Zhang, Chuanlin, Li, Shihua, Ding, Shihong
مصطلحات موضوعية: keyword:quadrotor mini-aircraft, keyword:finite-time stability, keyword:finite-time observer, keyword:output feedback, msc:62A10, msc:93E12
وصف الملف: application/pdf
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