Feedback theory approach to positivity and stability of evolution equations

DOI10.1016/j.sysconle.2022.105167zbMath1485.93179arXiv2103.15961OpenAlexW3147705239MaRDI QIDQ2124490

Hamid Bounit, Abed Boulouz, Said Hadd

Publication date: 11 April 2022

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.15961

zbMATH Keywords

exponential stabilityhyperbolic systemspositive semigroupsfeedback theorycontrol and observation operators

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) First-order hyperbolic systems (35L40) Exponential stability (93D23)

Related Items (3)

Well-posedness and asynchronous exponential growth of an age-weighted structured fish population model with diffusion in \(L^1\) ⋮ Well-posedness and stability of a class of linear systems ⋮ A spatially and size-structured population model with unbounded birth process

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Stability and boundary stabilization of 1-D hyperbolic systems
• Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
• Unbounded perturbations of the generator domain
• Nonlinear and linear hyperbolic systems with dynamic boundary conditions
• Well-posedness and exponential stability of boundary control systems with dynamic boundary conditions
• The regular linear systems associated with the shift semigroups and application to control linear systems with delay
• One-parameter semigroups of positive operators
• On the spectrum of evolution operators generated by hyperbolic systems
• On resolvent positive operators and positive \(C_ 0\)-semigroups on AL- spaces
• Positivity and stability for a population equation with diffusion on \(L^1\)
• Regular linear systems with feedback
• Regional stability and stabilization of a class of linear hyperbolic systems with nonlinear quadratic dynamic boundary conditions
• Perturbations of positive semigroups on AM-spaces
• On norm continuity, differentiability and compactness of perturbed semigroups
• Positive semigroups and perturbations of boundary conditions
• Singularly perturbed boundary-value problems.
• Well-posedness and regularity of linear hyperbolic systems with dynamic boundary conditions
• Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
• Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
• One-Parameter Semigroups for Linear Evolution Equations
• Resolvent Positive Operators
• The Stability of Positive Semigroups on L p Spaces
• Necessary and Sufficient Conditions on the Exponential Stability of Positive Hyperbolic Systems

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