In the paper, we establish a new criterion for stability of system dx/dt =A(t)x, which is based on the assumption that one leading principal submatrixof order r and its complementary submatrix in A(t) both have eigenv...In the paper, we establish a new criterion for stability of system dx/dt =A(t)x, which is based on the assumption that one leading principal submatrixof order r and its complementary submatrix in A(t) both have eigenvalues withonly negative real parts. And also a feasible method for decomposition andaggregation of large-scale systems is provided.展开更多
文摘In the paper, we establish a new criterion for stability of system dx/dt =A(t)x, which is based on the assumption that one leading principal submatrixof order r and its complementary submatrix in A(t) both have eigenvalues withonly negative real parts. And also a feasible method for decomposition andaggregation of large-scale systems is provided.
