Increasing the Margin of Stability of Arbitrarily Finite Modes of Flexible Large Space Structures with Damping
Abstract
Major themes of research performed under the grant include: (1) increasing the margin of stability of arbitrarily finite modes of damped wave equations. Allocation of spectrum and of Riesz basis properties of eigenvectors; (2) Uniform stabilization (linear case) and strong stabilization (non-linear case) by a-priori, explicit boundary feedbacks for waves and plates; (3) exact boundary controllability for waves and plates; (4) study of the optimal quadratic cost problem for waves and plates, in particular of the associated Algebraic Riccati Equation which produces a boundary feedback based on the Riccati operator which uniformly stabilizes the system (compare with (2)); (5) structural damping for elastic systems under a natural, broad class of damping operators, and (6) numerical aspects related to some of the topics listed above, in particular related to the computation of the Riccati operator in case of boundary control problems for waves and plates.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1986
- Accession Number
- ADA204959
Entities
People
- I. Lasiecka
- R. Triggiana
Organizations
- University of Virginia