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Nonlinear Stabilization of Shock-Like Unstable Equilibria in the Viscous Burgers PDE
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The Stability of the Shock Profiles of the Burgers' Equation
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Burgers' Equation With Nonlinear Boundary Feedback: H1 Stability, Well Posedness, and Simulation
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Boundary Control of the Korteweg-de Vries-Burgers Equation: Further Results on Stabilization and Numerical Demonstration
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Balogh, A., and Krstic, M., 2000, "Boundary Control of the Korteweg-de Vries-Burgers Equation: Further Results on Stabilization and Numerical Demonstration," IEEE Trans. Autom. Control, 45, pp. 1739-1745.
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On Global Stabilization of Burgers' Equation by Boundary Control
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Backstepping Boundary Control of Burgers' Equation With Actuator Dynamics
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Liu, W.-J., and Krstic, M., 2000, "Backstepping Boundary Control of Burgers' Equation With Actuator Dynamics," Syst. Control Lett., 41, pp. 291-303.
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Stability Enhancement by Boundary Control in the Kuramoto-Sivashinsky Equation
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Liu, W.-J., and Krstic, M., 2000, "Stability Enhancement by Boundary Control in the Kuramoto-Sivashinsky Equation," Nonlinear Anal.: Real World Appl., 43, pp. 485-583.
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Adaptive Control of Burgers' Equation With Unknown Viscosity
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Liu, W.-J., and Krstic, M., 2001, "Adaptive Control of Burgers' Equation With Unknown Viscosity," Int. J. Adapt. Control Signal Process., 15, pp. 745-766.
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Global Boundary Stabilization of the Korteweg-de Vries-Burgers Equation
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Liu, W.-J., and Krstic, M., 2002, "Global Boundary Stabilization of the Korteweg-de Vries-Burgers Equation," Comput. Appl. Math., 21, pp. 315-354.
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Null Controllability of the Burgers' Equation With Distributed Controls
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Fernandez-Cara, E., and Guerrero, S., 2007, "Null Controllability of the Burgers' Equation With Distributed Controls," Syst. Control Lett., 56, pp. 366-372.
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Motion Planning for the Heat Equation
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Nonlinear Control of Incompressible Fluid Flow: Application to Burgers' Equation and 2D Channel Flow
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Baker, J., Armaou, A., and Christofides, P. D., 2000, "Nonlinear Control of Incompressible Fluid Flow: Application to Burgers' Equation and 2D Channel Flow," J. Math. Anal. Appl., 252(1), pp. 230-255.
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Backstepping Observers for Parabolic PDEs
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Smyshlyaev, A., and Krstic, M., 2005, "Backstepping Observers for Parabolic PDEs," Syst. Control Lett., 54, pp. 1953-1971.
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Closed Form Boundary State Feedbacks for a Class of Partial Integro-Differential Equations
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Smyshlyaev, A., and Krstic, M., 2004, "Closed Form Boundary State Feedbacks for a Class of Partial Integro-Differential Equations," IEEE Trans. Autom. Control, 49, pp. 2185-2202.
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Output-Feedback Stabilization of an Unstable Wave Equation
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Krstic, M., Guo, B.-Z., Balogh, A., and Smyshlyaev, A., 2008, "Output-Feedback Stabilization of an Unstable Wave Equation," Automatica, 44, pp. 63-74.
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Explicit Output Feedback Stabilization of a Thermal Convection Loop by Continuous Backstepping and Singular Perturbations
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Vazquez, R., and Krstic, M., 2007, "Explicit Output Feedback Stabilization of a Thermal Convection Loop by Continuous Backstepping and Singular Perturbations," Proceedings of the 2007 American Control Conference, pp. 2177-2182.
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Vazquez, R.1
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