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On generating state space equations of a linear constant coefficient system

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Abstract

The details of the linear algebra which must be performed in order to generate state space equations from primitive equations of the linear constant coefficient ordinary differential mathematical model are presented. The applicability of the procedure is not dependent on any modeling philosophy and/or regimen. In addition to generating the state variable representation of the system, the procedure also generates equations which relate all other system internal variables to the system states and the system input variables. The treatment is complete and identifies all the operations which must be done in implementing a digital computer automation of the process. Some useful insights into the effects of ill-posed mathematical models and of modeling errors result from the treatment.

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Communicated by G. Leitmann

The author is indebted to several reviewers and colleagues for valuable suggestions for improvement and for encouragement.

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Blackwell, C.C. On generating state space equations of a linear constant coefficient system. J Optim Theory Appl 49, 65–79 (1986). https://doi.org/10.1007/BF00939248

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