Boundary observers for linear and quasi-linear hyperbolic systems with application to flow control

The Cauchy problem for quasi-linear symmetric hyperbolic systems

Tosio Kato · Archive for Rational Mechanics and Analysis · 1975 · 920 citations

Natural Sciences, Mathematics, Differential Equations +12

Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays

Miroslav Krstić, Andrey Smyshlyaev · Systems & Control Letters · 2008 · 775 citations

Natural Sciences, Physics, Dynamical Systems +14

A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws

Jean‐Michel Coron, Brigitte d’Andréa-Novel, Georges Bastin · IEEE Transactions on Automatic Control · 2007 · 413 citations

Engineering, Civil Engineering, Dynamical Systems +16

Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems

Jean‐Michel Coron, Georges Bastin · SIAM Journal on Control and Optimization · 2008 · 255 citations

Natural Sciences, Mathematics, Dynamical Systems +13

Backstepping boundary stabilization and state estimation of a 2 × 2 linear hyperbolic system

Rafael Vázquez, Miroslav Krstić, Jean‐Michel Coron · 2011 · 240 citations

Natural Sciences, Mathematics, Dynamical Systems +16