Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation

Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions

David L. Russell · SIAM Review · 1978 · 1.1K citations

Engineering, Distributed Parameter System, Observability Theories +14

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

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 · 411 citations

Flow Control, Engineering, Lyapunov Function +16

Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping

Jean‐Michel Coron, Rafael Vázquez, Miroslav Krstić et al. · SIAM Journal on Control and Optimization · 2013 · 333 citations · Full text

Hyperbolic Conservation Law, Boundary Stabilization, Feedback Law +8

Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs

Long Hu, Florent Di Meglio, Rafael Vázquez et al. · IEEE Transactions on Automatic Control · 2015 · 307 citations · Full text

Nonlinear Control, Hyperbolic Pdes, Stability +13