New stability and exact observability conditions for semilinear wave equations
From MaRDI portal
Publication:901160
DOI10.1016/j.automatica.2015.10.008zbMath1329.93037arXiv1602.07567OpenAlexW2150467770MaRDI QIDQ901160
Maria Terushkin, Eh. M. Fridman
Publication date: 23 December 2015
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.07567
Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Observability (93B07)
Related Items (11)
Boundary energy control of a system governed by the nonlinear Klein-Gordon equation ⋮ Adaptive observer design for wave PDEs with nonlinear dynamics and parameter uncertainty ⋮ Observer-based boundary control of the sine-Gordon model energy ⋮ A partial integral equation (PIE) representation of coupled linear PDEs and scalable stability analysis using LMIs ⋮ New stability and exact observability conditions for semilinear wave equations ⋮ Observer-based finite-time dissipativity for parabolic systems with time-varying delays ⋮ Exact controllability of a class of nonlinear distributed parameter systems using back-and-forth iterations ⋮ Sampled-data observers for semilinear damped wave equations under spatially sampled state measurements ⋮ Speed gradient method and its applications ⋮ Sampled-data observers for 1-D parabolic PDEs with non-local outputs ⋮ Exponential stabilisation and dissipativity analysis of semilinear parabolic systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recovering the initial state of an infinite-dimensional system using observers
- Feedback boundary stabilization of wave equations with interior delay
- New stability and exact observability conditions for semilinear wave equations
- Exponential stability of linear distributed parameter systems with time-varying delays
- An LMI approach to \({\mathcal H}_\infty\) boundary control of semilinear parabolic and hyperbolic systems
- Semigroups of linear operators and applications to partial differential equations
- Concentration and lack of observability of waves in highly heterogeneous media
- Observers and initial state recovering for a class of hyperbolic systems via Lyapunov method
- Semilinear observation systems
- Stabilization of Second Order Evolution Equations with Unbounded Feedback with Time-Dependent Delay
- Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
- Exact Controllability, Stabilization and Perturbations for Distributed Systems
- Linear Matrix Inequalities in System and Control Theory
This page was built for publication: New stability and exact observability conditions for semilinear wave equations