Boundary Stability of 1-D Nonlinear Inhomogeneous Hyperbolic Systems for the $C^{1}$ Norm
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Publication:5243165
DOI10.1137/17M1150803zbMath1437.35056OpenAlexW2988569414MaRDI QIDQ5243165
Publication date: 15 November 2019
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/17m1150803
Stabilization of systems by feedback (93D15) Stability in context of PDEs (35B35) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50)
Related Items (14)
Spectral stabilization of linear transport equations with boundary and in-domain couplings ⋮ Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure ⋮ Stabilization of the linearized water tank system ⋮ Numerical boundary control for semilinear hyperbolic systems ⋮ Small-time local stabilization of the two-dimensional incompressible Navier-Stokes equations ⋮ The discretized backstepping method: an application to a general system of \(2\times 2\) linear balance laws ⋮ Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system ⋮ Feedforward boundary control of \(2\times 2\) nonlinear hyperbolic systems with application to Saint-Venant equations ⋮ Exponential stability of density-velocity systems with boundary conditions and source term for the \(H^2\) norm ⋮ Global exponential stability and input-to-state stability of semilinear hyperbolic systems for the \(L^2\) norm ⋮ Input-to-state stability in sup norms for hyperbolic systems with boundary disturbances ⋮ BV Exponential Stability for Systems of Scalar Conservation Laws Using Saturated Controls ⋮ PI controllers for the general Saint-Venant equations ⋮ Fredholm transformation on Laplacian and rapid stabilization for the heat equation
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