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The feedback interconnection of lumped linear time-invariant systems. (English) Zbl 0336.93025


MSC:

93D15 Stabilization of systems by feedback
93C05 Linear systems in control theory
93C99 Model systems in control theory
Full Text: DOI

References:

[1] Desoer, C. A.; Vidyasagar, M., Feedback Systems, Input-Output Properties (1975), Academic Press: Academic Press New York · Zbl 0327.93009
[2] Chen, C. T., Introduction to Linear System Theory (1970), Holt, Rinehart & Winston: Holt, Rinehart & Winston New York · Zbl 0212.36602
[3] Rosenbrock, H. H., State-space and Multivariable Theory (1970), John Wiley: John Wiley New York · Zbl 0246.93010
[4] Desoer, C. A.; Vidyasagar, M., General necessary conditions for input-output stability, Proc. IEEE, Vol. 59, 1255-1256 (1971)
[5] Wolovich, W. A., Linear Multivariable Systems (1974), Springer: Springer New York · Zbl 0291.93002
[6] Wolovich, W. A., The determination of state-space representations for linear multivariable systems, Düsseldorf, Germany. Düsseldorf, Germany, Second IFAC Symp. Multivariable Tech. Contr. Syst. (1971) · Zbl 0245.93017
[7] Wang, S. H., Design of linear multivariable systems, (Coll. Eng. (1971), Univ. of California: Univ. of California Berkeley), Memo. ERL-M309 · Zbl 0251.93015
[8] Popov, V. M., Some properties of the Control Systems with Irreducible Matrix Transfer Functions, (Seminar on Differential Equations and Dynamical Systems, 144 (1970), Springer: Springer New York), Lecture Notes in Mathematics · Zbl 0209.45802
[9] Desoer, C. A.; Chan, W. S., Interconnection of unstable linear systems, (Proc. Twelfth Allerton Conf. (1974), Univ. of Ill: Univ. of Ill Urbana, Ill) · Zbl 0336.93025
[10] Maclane, S.; Birkhoff, G., Algebra (1967), Macmillan: Macmillan New York · Zbl 0153.32401
[11] Hsu, C. H.; Chen, C. T., A proof of the stability of multivariable feedback systems, Proc. IEEE, Vol. 56, 2061-2062 (1968)
[12] Desoer, C. A.; Schulman, J. D., Zeros and poles of matrix transfer functions and their dynamical interpretation, IEEE Trans. on Circuits and Systems, Vol. CAS-21, 3-8 (1974)
[13] Desoer, C. A.; Chan, W. S., The feedback interconnection of multivariable systems: simplifying theorems for stability, Proc. IEEE, Special Issue on Recent Trends in System Theory (1976) · Zbl 0347.93031
[14] Callier, F. M.; Desoer, C. A., A stability theorem concerning open loop unstable convolation feedback systems with dynamical feedbacks, Automatica. Automatica, IFAC 75, Vol. ID (1975), paper 44.2, to be published · Zbl 0344.93050
[15] F.M. Callier, W.S. Chan and C.A. Desoer. “Stability Theory of Interconnected Systems”, Parts I and II, submitted to IEEE TRans. on Circuits and Systems; F.M. Callier, W.S. Chan and C.A. Desoer. “Stability Theory of Interconnected Systems”, Parts I and II, submitted to IEEE TRans. on Circuits and Systems
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