Mean-square stability of stochastic differential time-lag systems
Date
1989
Authors
Lim, C.C.
Teo, K.L.
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Journal article
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International Journal of Systems Science, 1989; 20(5):859-863
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C. C. Lim and K. L. Teo
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Abstract
Two sets of sufficient conditions for the mean-square asymptotic stability of the equilibrium state of linear differential time-lag systems with non-stationary random coefficients are derived. Each of the sets of sufficient conditions is then shown to be equivalent to a corresponding unconstrained optimization problem. Hence, it can readily be solved by standard efficient optimization techniques. The usual trial-and-error method of finding the required parameters to satisfy the stability conditions can now be avoided.
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© 1989 Taylor & Francis Ltd.