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

Flatness and defect of non-linear systems: introductory theory and examples

Michel Fliess, Jean Lévine, Philippe Martin et al. · International Journal of Control · 1995 · 3.1K citations

Engineering, Flat Systems, Linear System +17

Optimal Control of Systems Governed by Partial Differential Equations.

David L. Russell, J. L. Lions, Sanjoy K. Mitter · American Mathematical Monthly · 1972 · 3K citations

Control Application, Optimal Control, Engineering +11

Active control of flexible systems

Mark J. Balas · Journal of Optimization Theory and Applications · 1978 · 709 citations

Feedforward Control, Engineering, Mechanical Systems +2

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

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