Previous Articles Next Articles
ZHANG Hai-E1,2, XU Gen-Qi1, CHEN Hao3, LI Min1
[1] Dáger R and Zuazua E, Controllability of star-shaped networks of strings, Comptes Rendus de l’Académie des Sciences-Series I-Mathematics, 2001, 332(7): 621–626. [2] Dáger R and Zuazua E, Spectral boundary controllability of networks of strings, Comptes Rendus Mathematique, 2002, 334(7): 545–550. [3] Dáger R, Observation and control of vibrations in tree-shaped networks of strings, SIAM J. Control Optim., 2004, 43: 590–623. [4] Mercier D and Régnier V, Control of a network of Euler-Bernoulli beams, Journal of Mathematical Analysis and Applications, 2008, 342(2): 874–894. [5] Wang H Q, Bai W, and Zhao X D, Finite-time-prescribed performance-based adaptive fuzzy control for strict-feedback nonlinear systems with dynamic uncertainty and actuator faults, IEEE Transactions on Cybernetics, 2020, DOI: 10.1109/TCYB.2020.3046316. [6] Wang H Q, Xu K, and Qiu J B, Event-triggered adaptive fuzzy fixed-time tracking control for a class of nonstrict-feedback nonlinear systems, IEEE Transactions on Circuits and Systems I: Regular Papers, 2021, 68(7): 3058–3068. [7] Li Y, Yang T, and Tong S, Adaptive neural networks finite-time optimal control for a class of nonlinear systems, IEEE Transactions on Neural Networks and Learning Systems, 2020, 31(11): 4451–4460. [8] Nicaise S and Valein J, Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks, Networks and Heterogeneous Media, 2007, 2: 425–479. [9] Xu G Q, Liu D Y, and Liu Y Q, Abstract second order hyperbolic system and applications to controlled network of strings, SIAM J. Conrtrol Opthim., 2008, 47(4): 1762–1784. [10] Xu G Q and Yung S P, Stability and riesz basis property of a star-shaped network of EulerBernoulli beams with joint damping, Networks and Heterogeneous Media, 2017, 3(4): 723–747. [11] Han Z J and Xu G Q, Stabilization and Riesz basis of a star-shaped network of Timoshenko beams, Journal of Dynamical and Control Systems, 2010, 16(2): 227–258. [12] Guo Y N and Xu G Q, Asymptotic stability and Riesz basis property for tree-shaped network of strings, Journal of Systems Science and Complexity, 2011, 24(2): 225–252. [13] Ammari K and Jellouli M, Stabilization of star-shaped networks of strings, Differential Integral Equations, 2004, 17(11–12): 1395–1410. [14] Ammari K, Jellouli M, and Khenissi M, Stabilization of generic trees of strings, Journal of Dynamical and Control Systems, 2005, 11(2): 177–193. [15] Ammari K and Crepeau E, Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks, Systems & Control Letters, 2019, 127: 39–43. [16] Li H T and Wang Y Z, Lyapunov-based stability and construction of lyapunov functions for Boolean networks, SIAM J. Control Optim., 2017, 55(6): 3437–3457. [17] Chen G, Fulling S A, Narcowich F J, et al., Exponential decay of energy of evolution equations with locally distributed damping, SIAM J. Appl. Math., 1991, 2017, 51(1): 266–301. [18] AliMehmeti F and Regnier R, Splitting of energy of dispersive wave in a start-shaped network, Z. Angew. Math. Mech., 2003, 83(2): 105–118. [19] Mironchenkoy A and Prieur C, Input-to-state stability of infinite-dimensional systems: Recent results and open questions, SIAM Rev., 2020, 62(3): 529–614. [20] AliMehmeti F and Regnier R, Splitting of energy of dispersive wave in a star-shaped network, Z. Angew. Math. Mech., 2003, 83(2): 105–118. [21] Han Z J and Zuazua E, Decay rates for elastic-thermoelastic star-shaped networks, Networks and Heterogeneous Media, 2012, 12(3): 461–488. [22] Munoz Rivera J E and Portillo Oquendo H, The transmission problem for thermoelastic beams, Journal of Thermal Stresses, 2001, 24: 1137–1158. [23] Marzocchi A, Munoz Rivera J E, and Naso M G, Asymptotic behaviour and expinential stability for a transmission problem in thermoelasticity, Math. Meth. Appl. Sci., 2002, 25: 955–980. [24] Messaoudi S A and Said-Houari B, Energy decay in a transmission problem in thermoelasticity of type III, IMA J. Appl. Math., 2009, 74: 344–360. [25] Malacarne A and Rivera J, Lack of exponential stability to Timoshenko system with viscoelastic Kelvin-Voigt type, Z. Angew. Math. Mech., 2016, 67: 67. [26] Kirane M and Said-Houari B, Existence and asymptotic stability of a viscoelastic wave equation with a delay, Z. Angew. Math. Phys., 2011, 62: 1065–1082. [27] Liu W J, General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback, Journal of Mathematical Physics, 2013, 54(4): 1–11. [28] Vansickle J, Attrition in distributed delay models, IEEE Transactions on Systems Man & Cybernetics, 1977, 7(9): 635–638. [29] Zheng F and Frank P M, Robust control of uncertain distributed delay systems with application to the stabilization of combustion in rocket motor chambers, Automatica, 2002, 38: 487–497. [30] Liu G W, Well-posedness and exponential decay of solutions for a transmission problem with distributed delay, Electronic Journal of Differential Equations, 2017, 2017(174): 1–13. [31] Nicaise S and Pignotti C, Stabilization of the wave equation with boundary or internal distributed delay, Differential Integral Equations, 2008, 21(9–10): 935–958. [32] Saravanakumar R, Rajchakit G, Ahn C K, et al., Exponential stability, passivity, and dissipativity analysis of generalized neural networks with mixed time-varying delays, IEEE Transactions on Systems Man & Cybernetics Systems, 2019, 49(2): 395–405. [33] Iswarya M, Raja R, Rajchakit G, et al., Existence, uniqueness and exponential stability of periodic solution for discrete-time delayed bam neural networks based on coincidence degree theory and graph theoretic method, Mathematics, 2019, 7(11): 1055. [34] Humphries U, Rajchakit G, Kaewmesri P, et al., Stochastic memristive quaternion-valued neural networks with time delays: An analysis on mean square exponential input-to-state stability, Mathematics, 2020, 8(5): 815. [35] Rajchakita G, Sriramanb R, Limc C, et al., Existence, uniqueness and global stability of Cliffordvalued neutral-type neural networks with time delays, Mathematics and Computers in Simulation, 2021, DOI: 10.1016/j.matcom.2021.02.023. [36] Rajchakit G, Sriraman R, Boonsatit N, et al., Global exponential stability of Clifford-valued neural networks with time-varying delays and impulsive effects, Advances in Difference Equations, 2021, 2021: 208. [37] Rajchakit G, Sriraman R, Boonsatit N, et al., Exponential stability in the Lagrange sense for Clifford-valued recurrent neural networks with time delays, Advances in Difference Equations, 2021, 2021: 256. [38] Xu G Q, Resolvent family for evolution process with memory, Mathematische Nachrichten, 2022, DOI: 10.1002/mana.202100203. |
[1] | YANG Kunyi,REN Xiang,ZHANG Jie. Output Feedback Stabilization of an Unstable Wave Equation with Observations Subject to Time Delay [J]. Journal of Systems Science and Complexity, 2016, 29(1): 99-118. |
[2] | ZHANG Xin. Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work [J]. Journal of Systems Science and Complexity, 2015, 28(5): 1015-1032. |
[3] | ZHAO Dongxia , WANG Junmin. SPECTRAL ANALYSIS AND STABILIZATION OF A COUPLED WAVE-ODE SYSTEM [J]. Journal of Systems Science and Complexity, 2014, 27(3): 463-475. |
[4] | BAO Leping , FEI Shumin, YU Lei. EXPONENTIAL STABILITY OF LINEAR DISTRIBUTED PARAMETER SWITCHED SYSTEMS WITH TIME-DELAY [J]. Journal of Systems Science and Complexity, 2014, 27(2): 263-275. |
[5] | Yuanling NIU, Chengjian ZHANG. ALMOST SURE AND MOMENT EXPONENTIAL STABILITY OF PREDICTOR-CORRECTOR METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS [J]. Journal of Systems Science and Complexity, 2012, 25(4): 736-743. |
[6] | Lina GUO , Houbao XU , Chao GAO , Guangtian ZHU. FURTHER RESEARCH OF A NEW KIND OF SERIES REPAIRABLE SYSTEM [J]. Journal of Systems Science and Complexity, 2012, 25(4): 744-758. |
[7] | Zhaoqiang GE;Guangtian ZHU;Dexing FENG. DEGENERATE SEMI-GROUP METHODS FOR THE EXPONENTIAL STABILITY OF THE FIRST ORDER SINGULAR DISTRIBUTED PARAMETER SYSTEMS [J]. Journal of Systems Science and Complexity, 2008, 21(2): 260-266. |
[8] | Weiwei HU;Houbao XU;Jingyuan YU;Guangtian ZHU. EXPONENTIAL STABILITY OF A REPARABLE MULTI-STATE DEVICE [J]. Journal of Systems Science and Complexity, 2007, 20(3): 437-443. |
[9] | YAN Qingxu;HOU S. H.;HUANG G.D.;WAN Li. STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH COUPLED LOCALLY DISTRIBUTED FEEDBACKS [J]. Journal of Systems Science and Complexity, 2005, 18(3): 419-428. |
[10] | Zhen Guo CHEN;Qing Xu YAN;Zhao Qi LI. BOUNDARY STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH ROTOR INERTIA AT THE TIP [J]. Journal of Systems Science and Complexity, 2004, 14(2): 176-187. |
Viewed | ||||||
Full text |
|
|||||
Abstract |
|
|||||