期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 45, 期 12, 页码 2396-2402出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/9.895582
关键词
linear system; passivity; positive realness; state-space representation; transfer function
An eigenvalue-based characterization of positive realness of transfer functions of single-input single-output time-invariant linear systems Is derived. Based on this characterization, we propose an efficient computational procedure to determine if a given transfer function is positive real. The input for this eigenvalue-based test is any gi ren, not necessarily minimal, state-space representation of the linear system. The test only involves standard matrix computations, such as computing eigenvalues of a matrix or a matrix pencil, Results of numerical experiments are reported.
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