On the state stability of a system of integro-differential equations of nonstationary aeroelasticity
Journal Article
·
· Journal of Mathematical Sciences
- Dnepropetrovsk Institute of Railroad Transport (Russian Federation)
We consider a process of nonstationary aeroelasticity, which is described by a system of integro-differential equations that cannot be solved for the derivative. We formulate necessary and sufficient conditions, in terms of Lyapunov functionals, for the exponential stability of such a system with respect to the metric of an infinite Hilbert space. A formula is given for the total derivative of a Lyapunov functional via the initial equations of motion. 5 refs.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 212897
- Journal Information:
- Journal of Mathematical Sciences, Vol. 70, Issue 1; Other Information: PBD: 5 Jun 1994; TN: Translated from Vychislitel`naya i Prikladnaya Matematika; 70, 112-121(1990)
- Country of Publication:
- United States
- Language:
- English
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