Optimal control of coupled parabolic–hyperbolic non-autonomous PDEs: infinite-dimensional state-space approach

DOI10.1080/00207721.2018.1440027zbMath1482.49023OpenAlexW2791640743WikidataQ130194913 ScholiaQ130194913MaRDI QIDQ5027576

J. Fraser Forbes, Ilyasse Aksikas, Amir Alizadeh Moghadam

Publication date: 4 February 2022

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2018.1440027

zbMATH Keywords

optimal controldistributed parameter systemspartial differential equationstime-varying systemchemical process systems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimal feedback synthesis (49N35) Eigenvalue problems (93B60) Linear-quadratic optimal control problems (49N10)

Related Items

Adaptive λ-tracking controller for an exothermic chemical plug flow tubular reactor ⋮ Exponential stabilisation and dissipativity analysis of semilinear parabolic systems

Cites Work

• Unnamed Item
• 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
• Representation and control of infinite dimensional systems
• On asymptotic stability of semi-linear distributed parameter dissipative systems
• Semigroups of linear operators and applications to partial differential equations
• Sliding mode control in infinite-dimensional systems
• Matrix Riccati equations in control and systems theory
• An analytic approach to the unsteady heat conduction processes in one-dimensional composite media
• Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs
• Dynamical analysis of distributed parameter tubular reactors
• Control of parabolic PDEs with time-varying spatial domain: Czochralski crystal growth process
• Quadratic Control for Linear Time-Varying Systems
• Optimal linear–quadratic control of coupled parabolic–hyperbolic PDEs
• Predictive control of parabolic PDEs with state and control constraints
• Existence of solutions to the Riccati equation for time-varying distributed systems