Global exponential stability and input-to-state stability of semilinear hyperbolic systems for the \(L^2\) norm
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Publication:2242956
DOI10.1016/j.sysconle.2020.104848zbMath1478.93544arXiv2011.12682OpenAlexW3114305039WikidataQ115566752 ScholiaQ115566752MaRDI QIDQ2242956
Publication date: 10 November 2021
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.12682
Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Exponential stability (93D23)
Related Items (2)
Numerical boundary control for semilinear hyperbolic systems ⋮ ISS-based robustness to various neglected damping mechanisms for the 1-D wave PDE
Uses Software
Cites Work
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- Stability and boundary stabilization of 1-D hyperbolic systems
- Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity
- Dissipative boundary conditions for \(2\times 2\) hyperbolic systems of conservation laws for entropy solutions in BV
- ISS-Lyapunov functions for time-varying hyperbolic systems of balance laws
- A strict \(H^1\)-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction
- Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
- On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval
- Input-to-state stability for PDEs
- Derivation of hyperbolic models for chemosensitive movement
- The effect of boundary damping for the quasilinear wave equation
- Global smooth solutions of dissipative boundary value problems for first order quasilinear hyperbolic systems
- Rapid stabilization of a linearized bilinear 1-D Schrödinger equation
- A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope
- Classical solutions and feedback stabilization for the gas flow in a sequence of pipes
- Existence, uniqueness and regularity results on nonlocal balance laws
- Approximate and exact controllability of linear difference equations
- Neumann boundary feedback stabilization for a nonlinear wave equation: A strict \(H^2\)-Lyapunov function
- Input-to-state stability of infinite-dimensional control systems
- Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach
- A quadratic Lyapunov function for hyperbolic density-velocity systems with nonuniform steady states
- Exact controllability for nonautonomous first order quasilinear hyperbolic systems
- Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
- A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
- Critical thresholds in flocking hydrodynamics with non-local alignment
- On the Type of Certain Co-Semigroups
- Boundary Control of PDEs
- Spectral mapping theorem for linear hyperbolic systems
- The non-local Fisher–KPP equation: travelling waves and steady states
- On the Modelling and Stabilization of Flows in Networks of Open Canals
- Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation
- Optimal Time for the Controllability of Linear Hyperbolic Systems in One-Dimensional Space
- Null Controllability of a Linearized Korteweg--de Vries Equation by Backstepping Approach
- Smooth stabilization implies coprime factorization
- On boundary stability of inhomogeneous 2 × 2 1-D hyperbolic systems for the C1 norm
- On L∞ stabilization of diagonal semilinear hyperbolic systems by saturated boundary control
- Boundary Stability of 1-D Nonlinear Inhomogeneous Hyperbolic Systems for the $C^{1}$ Norm
- Dissipative Boundary Conditions for Nonlinear 1-D Hyperbolic Systems: Sharp Conditions Through an Approach via Time-Delay Systems
- Characterizations of input-to-state stability for infinite-dimensional systems
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