Almost Sure Stability Condition of Weakly Coupled Two-DOF Linear Nonautonomous Random Systems

MA Tian-wei

doi:10.3879/j.issn.1000-0887.2010.08.011

Volume 31 Issue 8

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MA Tian-wei. Almost Sure Stability Condition of Weakly Coupled Two-DOF Linear Nonautonomous Random Systems[J]. Applied Mathematics and Mechanics, 2010, 31(8): 986-991. doi: 10.3879/j.issn.1000-0887.2010.08.011

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Almost Sure Stability Condition of Weakly Coupled Two-DOF Linear Nonautonomous Random Systems

doi: 10.3879/j.issn.1000-0887.2010.08.011

MA Tian-wei

Department of Civil and Environmental Engineering, University of Hawaii at Manoa, America

Received Date: 1900-01-01
Rev Recd Date: 2010-04-30
Publish Date: 2010-08-15

Abstract

Abstract

Sufficient condition of almost sure stability of two-dimensional oscillating systems under parametric excitations was investigated. The systems considered were assumed to becom posed of two weakly coupled subsystems. The driving actions were considered to be stationary stochastic processes satisfying ergodic properties. The properties of quadratic forms were used in conjunction with the bounds for eigenvalues to obtain, in close form, the sufficient condition for amlost sure stability of the system.
- almost-sure stability,
- ergodic processes,
- bounds for eigenvalues

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References

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