论文信息 - A stability test for continuous systems

A stability test for continuous systems

Abstract A test for determining the zero distribution of a real polynomial with respect to the imaginary axis is presented. It is based on the construction of a sequence of polynomials of descending degree which draws on the Levinson algorithm. The proof of the stability criterion, which is based on intuitive geometrical considerations, is very simple, and the computational complexity is not greater than that for the Routh test. The critical situations that may arise are also examined and some examples are given.

[1] E. I. Jury,et al. Theory and application of the z-transform method , 1965 .

[2] Thomas Kailath,et al. A view of three decades of linear filtering theory , 1974, IEEE Trans. Inf. Theory.

[3] Walter R. Evans,et al. Control-system dynamics , 1964 .

[4] Y. Bistritz. Zero location with respect to the unit circle of discrete-time linear system polynomials , 1984 .

[5] S. D. Agashe. A new general Routh-like algorithm to determine the number of RHP roots of a real or complex polynomial , 1985 .

[6] Yuval Bistritz,et al. Direct bilinear Routh stability criteria for discrete systems , 1984 .

[7] V. Singh. A note on the Routh-Hurwitz criterion , 1978 .

[8] K. Yeung,et al. Routh-Hurwitz test under vanishing leading array elements , 1983 .

[9] S. Barnett,et al. Routh’s Algorithm: A Centennial Survey , 1977 .

[10] J. O'Reilly,et al. A note on the Routh-Hurwitz test , 1982 .

[11] K. Yeung. Addendum to "Routh-Hurwitz test under vanishing leading array elements" , 1985 .

[12] B. Barmish. Invariance of the strict Hurwitz property for polynomials with perturbed coefficients , 1983, The 22nd IEEE Conference on Decision and Control.