Rebarber R. Conditions for the equivalence of internal and external stability for distributed parameter systems. IEEE Transactions on Automatic Control, 1993, 38(6): 994-998
[2]
Ge Z, Zhu G, Feng D. Degenerate semi-group methods for the exponential stability of the first order singular distributed parameter systems. Journal of Systems Science & Complexity, 2008, 21(2): 260-266
[3]
Cheng M B, Radisavljevic V, Su W C. Sliding mode boundary control of a parabolic PDE system with parameter variations and boundary uncertainties. Automatica, 2011, 47(2): 381-387
[4]
Guo B Z, Liu J J. Sliding mode control and active disturbance rejection control to the stabilization of one-dimensional schr？dinger equation subject to boundary control matched disturbance. sl International Journal of Robust and Nonlinear Control, 2014, 24(16): 2194-2212
[5]
Li H X, Qi C K. Modelling of distributed parameter systems for applications——a synthesized review from time-space separation. Journal of Process Control, 2010, 20(8): 891-901
[6]
Dubljevic S, El-Farra N H, Mhaskar P, Christofides P D. Predictive control of parabolic PDEs with state and control constraints. International Journal of Robust and Nonlinear Control, 2006, 16(16): 749-772
[7]
Krstic M. Systematization of approaches to adaptive boundary stabilization of pdes. International Journal of Robust and Nonlinear Control, 2006, 16(16): 801-818
[8]
Vazquez R, Krstic M. Boundary observer for output-feedback stabilization of thermaluid convection loop. IEEE Transactions on Control Systems Technology, 2010, 18(4): 789-797
[9]
Li Xiao-Guang, Liu Jin-Kun. Continuum backstepping control algorithms in partial differential equation orientation: a review. Control Theory & Applications, 2012, 29(7): 825-832 (李晓光, 刘金琨. 面向偏微分方程的连续反演控制算法综述. 控制理论与应用, 2012, 29(7): 825-832)
[10]
Smyshev A, Krstic M. Closed-form boundary state feedbacks for a class of 1-D partial integro-differential equations. IEEE Transactions on Automatic Control, 2004, 49(12): 2185-2202
[11]
Krstic M, Smyshev A. Boundary Control of PDEs: A Course on Backstepping Designs. Philadelphia: SIAM, 2008.
[12]
Vazquez R, Krstic M. Marcum Q-functions and explicit kernels for stabilization of 2×2 linear hyperbolic systems with constant coefficients. Systems & Control Letters, 2014, 68: 33-42
[13]
Aamo O M, Smyshev A, Krstic M. Boundary control of the linearized Ginzburg-Landau model of vortex shedding. SIAM Journal on Control and Optimization, 2005, 43(6): 1953-1971
[14]
Wang Yue, Wu Cheng-Xun. Study on non-solvent diffusion of PAN-based carbon fiber precursor in dry-jet wet spinning process. Chemical Industry and Engineering, 2007, 22(4): 28-31 (王 玥, 吴承训. 聚丙烯腈基碳纤维原丝在干湿法纺丝中非溶剂扩散过程的研究. 化学工业与工程, 2007, 22(4): 28-31)
[15]
Tang K T. Mathematical Methods for Engineers and Scientists. Berlin: Springer-Verlag, 2007. 142-186
[16]
Brezis H. Functional Analysis, Sobolev Spaces and Partial Differential Equations. New York: Springer, 2011. 326-328
[17]
Padhi R, Ali S F. An account of chronological developments in control of distributed parameter systems. Annual Reviews in Control, 2009, 33(1): 59-68
[18]
Butkovskii A G. The maximum principle for optimum systems with distributed parameters. Automation and Remote Control, 1961, 22(10): 1156-1169
[19]
Triggiani R. Boundary feedback stabilizability of parabolic equations. Applied Mathematics and Optimization, 1980, 6(1): 201-220
[20]
Fard M, Sagatun S. Exponential stabilization of a transversely vibrating beam via boundary control. Journal of Sound and Vibration, 2001, 240(4): 613-622
[21]
Li Jian, Liu Yun-Gang. Adaptive boundary control for a class of uncertain heat equations. Acta Automatica Sinica, 2012, 38(3): 469-473 (李健, 刘允刚. 一类不确定热方程自适应边界控制. 自动化学报, 2012, 38(3): 469-473)
[22]
Guo B Z, Kang W. The Lyapunov approach to boundary stabilization of an anti-stable one-dimensional wave equation with boundary disturbance. International Journal of Robust and Nonlinear Control, 2014, 24(1): 54-69
