Boundary Control of PDEs: A Course on Backstepping Designs

By Miroslav Krstic. 2008

1,386 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/828dacc01bc3f19fa2e59cdbb2163812196f7e2b

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Citations in the corpus

Vibration Control of a Flexible Robotic Manipulator in the Presence of Input Deadzone (2017, background): “In [4], a pioneering backstepping based boundary control strategy is proposed for various flexible structures.”
Dynamical Modeling and Boundary Vibration Control of a Rigid-Flexible Wing System (2020, background): “The applications of modal control could cause spillover effect [24] that affects the stability and the robustness of the system.”
Stabilization and controllability of first-order integro-differential hyperbolic equations (2015, background): “Krstic and his co-workers (see, in particular, the pioneer articles [2,16,19] and the reference book [14]).”
Adaptive Partial Differential Equation Observer for Battery State-of-Charge/State-of-Health Estimation Via an Electrochemical Model (2014, methodology): “The backstepping approach [20] is applied to design the output injection gains p1ðrÞ and p10.”
Boundary Control of PDEs (2008, background): “Most of those can be accessed in two recently published books, [15,28].”
Sliding mode control and active disturbance rejection control to the stabilization of one‐dimensional Schrödinger equation subject to boundary control matched disturbance (2014, methodology): “The non-collocated method is systematically applied, due to the introduction of backstepping method to PDEs in the last few years ([17], see also [6]), to stabilize some unstable or even anti-stable wave and heat equations ([15, 17, 27]).”
Fredholm Transform and Local Rapid Stabilization for a Kuramoto-Sivashinsky Equation (2015, methodology): “Hence, in these cases, our kernel k will be the same as the ones given in [23].”
Local rapid stabilization for a Korteweg–de Vries equation with a Neumann boundary control on the right (2013, methodology): “See, in particular, the references given in [16], where a systematic and clear introduction to this method is given.”
Null Controllability and Finite Time Stabilization for the Heat Equations with Variable Coefficients in Space in One Dimension via Backstepping Approach (2017, methodology): “A concise introduction to this method applied to numerous partial differential equations can be found in [23].”