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Simultaneous control problems for systems of elastic strings and beams

✍ Scribed by S.A. Avdonin; William Moran

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
128 KB
Volume
44
Category
Article
ISSN
0167-6911

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✦ Synopsis

Controllability problems for N strings or beams controlled from a common endpoint are studied. We give necessary and su cient conditions for simultaneous spectral and approximate controllability and describe the space of simultaneously reachable states as a function of the position of the endpoint. For each type of controllability result the sharp controllability time is obtained. The proofs are based on new results in nonharmonic Fourier series which describe Riesz bases of exponential divided di erences.

πŸ“œ SIMILAR VOLUMES

Exact boundary controllability in proble
Exact boundary controllability in problems of transmission for the system of electromagneto-elasticity
✍ Boris V. Kapitonov; Marco Antonio Raupp πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 174 KB

## Abstract This paper considers transmission problem for the system of electromagneto‐elasticity having piecewise constant coefficients in a bounded domain. The result on exact boundary controllability is obtained provided the interfaces, where the coefficients have a jump discontinuity, are all s