Global dynamics and control of a nonlinear body equation with strong structural damping

DOI10.1007/BF02560205zbMath0990.35124MaRDI QIDQ4397380

Hong-Jun Gao, Bo-ling Guo

Publication date: 12 February 2002

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

feedback controlabsorbing setsBalakrishnan-Taylor dampingcontrol spilloverelastic body equationflat inertial manifoldnonlinear body equation

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Automated systems (robots, etc.) in control theory (93C85) Nonlinear differential equations in abstract spaces (34G20) Higher-order hyperbolic equations (35L25)

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• Stability theory for an extensible beam
• Exponential attractors for extensible beam equations
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