Well-Posedness and Controllability of a Class of Coupled Linear Systems

DOI10.1137/090752833zbMath1203.93029OpenAlexW1987163344MaRDI QIDQ3581042

Xiaowei Zhao, George Weiss

Publication date: 16 August 2010

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090752833

zbMATH Keywords

exact controllabilitycoupled systemwell-posed systemadmissible control operatorsimultaneous controllability

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Control/observation systems in abstract spaces (93C25)

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Well-posedness and exponential stability of boundary control systems with dynamic boundary conditions ⋮ Rapid exponential stabilization by boundary state feedback for a class of coupled nonlinear ODE and \(1-d\) heat diffusion equation ⋮ Exponential regulation of the anti-collocatedly disturbed cage in a wave PDE-modeled ascending cable elevator ⋮ Exponential stabilization of cascade ODE-linearized KdV system by boundary Dirichlet actuation ⋮ Well-posed systems -- the LTI case and beyond ⋮ Well-posedness, regularity and exact controllability of the SCOLE model ⋮ Boundary stabilization of a coupled wave-ODE system with internal anti-damping

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