The purpose of the book is ilustrated by the fact that all the stability results in applications from either continuous-time or discrete-time dynamical systems are derived by means of appropriate diagonal matrix stability. Matrix stability is related to the stability of the zero solution (i.e. the convergence to zero of any other solution) of the differential linear system dxldt = Ax (in the continuous-time case) or of the difference linear system x(k+1) = Ax(k) (in the discrete-time case).
by Eugenius Kaszkurewicz and Amit Bhaya
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