"t""This paper reports the design of a fractional linear system under stochastic inputs/uncertainties. The""design methods were based on the hybrid spectral method for expanding the system signals over ortho- gonal functions. The use of the hybrid spectral method led to algebraic relationships between the first and second order stochastic moments of the input and output of a system. The spectral method could obtain a highly accurate solution with less computational demand than the traditional Monte Carlo method. Based on the hybrid spectral framework, the optimal design was elaborated by minimizing the suitably""defined constrained-optimization problem."
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