Absolute Stability via Boundary Control of a Semilinear Parabolic PDE

DOI10.1109/TAC.2005.864197zbMath1366.93548MaRDI QIDQ5281789

Gregory Hagen

Publication date: 27 July 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear differential equations in abstract spaces (34G20) Asymptotic stability in control theory (93D20)

Related Items (8)

Observer design and output feedback stabilization for nonlinear multivariable systems with diffusion PDE-governed sensor dynamics ⋮ Local exponential stabilization via boundary feedback controllers for a class of unstable semi-linear parabolic distributed parameter processes ⋮ Robust non-fragile boundary control for non-linear parabolic PDE systems with semi-Markov switching and input quantization ⋮ Late‐lumping fuzzy boundary geometric control of nonlinear partial differential systems ⋮ Global stabilization of a 1D semilinear heat equation via modal decomposition and direct Lyapunov approach ⋮ \(H_\infty\) fuzzy intermittent boundary control for nonlinear parabolic distributed parameter systems ⋮ Solution estimates for semilinear non-autonomous evolution equations with differentiable linear parts ⋮ Dissipative observers for coupled diffusion-convection-reaction systems

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