Stability via closure relations with applications to dissipative and port-Hamiltonian systems

Control/observation systems governed by partial differential equations (93C20) One-parameter semigroups and linear evolution equations (47D06) Operator-theoretic methods (93B28) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Exponential stability (93D23)

Cites Work

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Building systems from simple hyperbolic ones
Eventually and asymptotically positive semigroups on Banach lattices
Linear port-Hamiltonian systems on infinite-dimensional spaces.
Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems
Optimal energy decay in a one-dimensional coupled wave-heat system
One-parameter semigroups of positive operators
Hopf bifurcation in a scalar reaction diffusion equation
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Well-posedness of linear first order port-Hamiltonian systems on multidimensional spatial domains
Stabilization of port-Hamiltonian systems with discontinuous energy densities
An extension of Hamiltonian systems to the thermodynamic phase space: towards a geometry of nonreversible processes
Exponential Stabilization of Boundary Controlled Port-Hamiltonian Systems With Dynamic Feedback
Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain
Modeling and Control of Complex Physical Systems
Dirac structures and Boundary Control Systems associated with Skew-Symmetric Differential Operators
One-Parameter Semigroups for Linear Evolution Equations
Robin boundary value problems on arbitrary domains
Optimal Energy Decay for the Wave-Heat System on a Rectangular Domain
Exponential Stability of a Class of Boundary Control Systems
Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances
A port-Hamiltonian formulation of coupled heat transfer
Optimal Energy Decay in a One-Dimensional Wave-Heat-Wave System
Robust Regulation of Infinite-Dimensional Port-Hamiltonian Systems
Generators with a closure relation
An operator theoretic approach to infinite‐dimensional control systems
Convergence to equilibrium for linear parabolic systems coupled by matrix‐valued potentials

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