Companion form for Linear Time-Varying Systems

Abstract

An elegant algorithm for transforming a single-input, single-output, linear time-varying systems to the companion form and for constructing the transformation matrix is developed, in the light of the method proposed by Anderson and Luenberger (1967) for linear time-variant system. The proposed method is conceptually simpler than the previously published techniques (Silverman 1966, Ramaswami and Ramar 1969) and does not necessitate the use of a matrix inverse.

Indexing Terms:

• Time-Varying Systems
• Canonical Form

Additional information

Notes on contributors

Sarasu John

Smt. Sarasu John: Obtained D.I.I.Sc from the Indian Institute of Science Bangalore, in 1960, and M. Tech from the Indian Institute of Technology, Madras in 1968. She completed research work: for Ph.D during 1977–80 at the Indian Institute of Technology, Madras, under the Quality Improvement Programme of the Government of India.: She is engaged in teaching and research since 1960. She joined the faculty of Electrical Engineering of the Karnataka Regional Engineering College, Surathkal in 1964, and is working as Assistant Professor, since 1976. She has a number of technical papers to her credit. Presently, she is doing research in multivariable system reduction.