Abstract
Abstract A matrix decomposition method is used to study the stability of the equilibrium state of non-autonomous linear systems. This technique systematically provides sufficient stability and asymptotic stability conditions for such systems, Several criteria regarding the stability of linear systems with time-varying coefficients are developed. A few examples illustrating the procedure are discussed. These examples include a system governed by the Mathieu equation, and a parametrically excited multidegree-of-freedom system.
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