Mathematical description of linear dynamical systems

@article{Klmn1963MathematicalDO,
  title={Mathematical description of linear dynamical systems},
  author={Rudolf E. K{\'a}lm{\'a}n},
  journal={Journal of The Society for Industrial and Applied Mathematics, Series A: Control},
  year={1963},
  volume={1},
  pages={152-192}
}
  • R. Kálmán
  • Published 1963
  • Mathematics
  • Journal of The Society for Industrial and Applied Mathematics, Series A: Control
There are two different ways of describing uynamicu systems: (i) bymeans of state variables and (ii) by input/output relations. The first method may be regarded as an axiornatization of Newton’s laws of mechanics and is taken to be the basic definition of a system.It is then shown (in the linear case) that the input/output relations determine only one part of a system, that which is completely observable and completely controllable. Using the theory of controllability and observability, methods… Expand

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