A Criterion for Stability of Nonlinear Time-Varying Dynamic System
نویسندگان
چکیده
In this paper, based on the assumption that both the leading principal submatrix of r-order and its complementary submatrix in A(t) have eigenvalues with only negative real parts, we establish a criterion for the stability of a class of nonlinear time-varying dynamic system dx/dt = A(t)x+ f(t, x). Also a feasible method for decomposition and aggregation of large-scale system is provided. Moreover, we shall show the efficiency of the presented criterion by a numerical example.
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