Small-gain stability analysis of certain hyperbolic-parabolic PDE loops
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Publication:1624900
DOI10.1016/j.sysconle.2018.05.012zbMath1402.93142arXiv1802.03139OpenAlexW2808427842WikidataQ129696618 ScholiaQ129696618MaRDI QIDQ1624900
Iasson Karafyllis, Krstić, Miroslav
Publication date: 16 November 2018
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.03139
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Input-output approaches in control theory (93D25) Hyperbolic equations and hyperbolic systems (35L99)
Related Items (5)
Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems ⋮ Boundary-to-Displacement asymptotic gains for wave systems with Kelvin–Voigt damping ⋮ Nonlinear small-gain theorems for input-to-state stability of infinite interconnections ⋮ Small-Gain-Based Boundary Feedback Design for Global Exponential Stabilization of One-Dimensional Semilinear Parabolic PDEs ⋮ Small Gain Theorems for General Networks of Heterogeneous Infinite-Dimensional Systems
Cites Work
- Unnamed Item
- Stability and boundary stabilization of 1-D hyperbolic systems
- Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term
- Control of PDE-ODE cascades with Neumann interconnections
- Stability and stabilization of nonlinear systems.
- Exponential stability of an elastic string with local Kelvin-Voigt damping
- Observer design for a class of nonlinear ODE-PDE cascade systems
- Local input-to-state stability: characterizations and counterexamples
- Global propagation of regular nonlinear hyperbolic waves
- Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems
- Compensating actuator and sensor dynamics governed by diffusion PDEs
- Asymptotic equivalence of abstract parabolic equations with delays
- Systems of parabolic equations with continuous and discrete delays
- Small-gain theorem for ISS systems and applications
- Mathematical Control Theory of Coupled PDEs
- ISS with Respect to Boundary Disturbances for 1-D Parabolic PDEs
- Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
- Construction of Lyapunov Functions for Interconnected Parabolic Systems: An iISS Approach
- Spectral analysis of a wave equation with Kelvin-Voigt damping
- Spectrum and Stability for Elastic Systems with Global or Local Kelvin--Voigt Damping
- On General Properties of Eigenvalues and Eigenfunctions of a Sturm–Liouville Operator: Comments on “ISS With Respect to Boundary Disturbances for 1-D Parabolic PDEs”
- Smooth stabilization implies coprime factorization
- Compensating a String PDE in the Actuation or Sensing Path of an Unstable ODE
- ISS In Different Norms For 1-D Parabolic Pdes With Boundary Disturbances
- Exponential Stability Analysis of Sampled-Data ODE–PDE Systems and Application to Observer Design
- Stabilization of a System of <formula formulatype="inline"> <tex Notation="TeX">$n+1$</tex></formula> Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input
- Characterizations of input-to-state stability for infinite-dimensional systems
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