Stability analysis of discrete-time systems in a state-space realisation with partial state saturation nonlinearities
作者： H. Kar , V. Singh
关键词:
摘要: A criterion for the global asymptotic stability of discrete-time systems in a state-space realisation with partial state saturation nonlinearities is presented. The compared previously reported (Liu et al., 1992).
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Franklin F. Kuo, Network Analysis and Synthesis ,(1962)
V. Singh, The analysis of a third-order system Proceedings of the IEEE. ,vol. 65, pp. 1404- 1405 ,(1977) , 10.1109/PROC.1977.10724
E. Jury, B. Lee, On the stability of a certain class of nonlinear sampled-data systems IEEE Transactions on Automatic Control. ,vol. 9, pp. 51- 61 ,(1964) , 10.1109/TAC.1964.1105622
V. Singh, Lyapunov-based proof of Jury - Lee's criterion: Some appraisals IEEE Transactions on Circuits and Systems. ,vol. 32, pp. 396- 398 ,(1985) , 10.1109/TCS.1985.1085705
V. Singh, A new proof of the discrete-time bounded-real lemma and lossless bounded-real lemma IEEE Transactions on Circuits and Systems. ,vol. 34, pp. 960- 962 ,(1987) , 10.1109/TCS.1987.1086218
Derong Liu, A.N. Michel, Stability analysis of systems with partial state saturation nonlinearities IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 43, pp. 230- 232 ,(1996) , 10.1109/81.486447
V. Singh, A new realizability condition for limit cycle-free state-space digital filters employing saturation arithmetic IEEE Transactions on Circuits and Systems. ,vol. 32, pp. 1070- 1071 ,(1985) , 10.1109/TCS.1985.1085612
I. Sandberg, The zero-input response of digital filters using saturation arithmetic IEEE Transactions on Circuits and Systems. ,vol. 26, pp. 911- 915 ,(1979) , 10.1109/TCS.1979.1084587
V. Singh, Elimination of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic IEEE Transactions on Circuits and Systems. ,vol. 37, pp. 814- 818 ,(1990) , 10.1109/31.55040
D. Liu, A.N. Michel, Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 39, pp. 798- 807 ,(1992) , 10.1109/81.199861