Notes and References

Abstract

In our attempt to introduce the state-space approach to control theory, we have only included what we believe to be the most basic topics that give the reader a good preparation for further investigation into other areas of the subject. Our treatment has been elementary and yet mathematically rigorous. There are many texts in the literature that are written for similar but different purposes. For linear system theory, we refer the reader to Balakrishnan (1983), Brockett (1970), Chen (1984), Kailath (1980), Padulo and Arbib (1974), Timothy and Bona (1968), and Zadeh and Desoer (1979). For further investigation into optimal control theory, the reader is referred to Bellman (1962), Fleming and Rishel (1975), Knowles (1981), Lee and Markus (1967), Macki and Strauss (1982), and Pontryagin et al. (1962). It is an impossible task to list all other topics that we have not covered in this treatise. We only include the following related ones without going into details, and refer the interested reader to the appropriate literature.