An Efficient Implementation of Backstepping Observers for Time-Varying Parabolic PDEs

Introduction to Numerical Analysis.

Carl-Erik Fröberg, Josef Stoer, Roland Bulirsch · Mathematics of Computation · 1981 · 5.5K citations

Numerical Analysis, Spectral Theory, Conjugate Gradient Algorithm +8

Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations

Andrey Smyshlyaev, Miroslav Krstić · IEEE Transactions on Automatic Control · 2004 · 570 citations

Numerical Analysis, Engineering, Pde-constrained Optimization +13

Backstepping observers for a class of parabolic PDEs

Andrey Smyshlyaev, Miroslav Krstić · Systems & Control Letters · 2004 · 449 citations

Hyperbolic Equation, Nonlinear Hyperbolic Problem, Parabolic Pdes +1

Boundary Feedback Stabilization of an Unstable Heat Equation

Weijiu Liu · SIAM Journal on Control and Optimization · 2003 · 302 citations

Differentiable Function, System Stability, Diffusive Term Uxx +4

Tracking control for boundary controlled parabolic PDEs with varying parameters: Combining backstepping and differential flatness

Thomas Meurer, Andreas Kugi · Automatica · 2009 · 177 citations

Pde-constrained Optimization, Parabolic Pdes, Stability +5