On asymptotic stability of semi-linear distributed parameter dissipative systems

DOI10.1016/j.automatica.2010.02.030zbMath1192.93103OpenAlexW1995066200MaRDI QIDQ976274

Ilyasse Aksikas, J. Fraser Forbes

Publication date: 17 June 2010

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2010.02.030

zbMATH Keywords

dissipativityasymptotic stabilitynonlinear contraction semigroupsemi-linear infinite-dimensional systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Control/observation systems in abstract spaces (93C25)

Related Items (7)

Asymptotic behaviour of contraction non-autonomous semi-flows in a Banach space: application to first-order hyperbolic PDEs ⋮ Boundary optimal control design for a system of parabolic–hyperbolic PDEs coupled with an ODE ⋮ Analysis and asymptotic stability of uniformly Lipschitzian nonlinear semigroup systems ⋮ A common fixed point theorem for semigroups of nonlinear uniformly continuous mappings with an application to asymptotic stability of nonlinear systems ⋮ Duality-based optimal compensator for boundary control hyperbolic PDEs system: application to a tubular cracking reactor ⋮ Optimal control of coupled parabolic–hyperbolic non-autonomous PDEs: infinite-dimensional state-space approach ⋮ Optimal control and duality-based observer design for a hyperbolic PDEs system with application to fixed-bed reactor

Cites Work

• Nonlinear and robust control of PDE systems. Methods and applications to transport-reaction processes
• Asymptotic stability of infinite-dimensional semilinear systems: application to a nonisothermal reactor
• LQ control design of a class of hyperbolic PDE systems: application to fixed-bed reactor
• Semigroups of linear operators and applications to partial differential equations
• Stability and stabilization of infinite dimensional systems with applications
• Dynamical analysis of distributed parameter tubular reactors
• Semi-groups of nonlinear contractions and dissipative sets
• Asymptotic behavior of nonlinear contraction semigroups
• Note on Nonlinear Contraction Semigroups
• Trajectory analysis of nonisothermal tubular reactor nonlinear models
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