<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The concept of invariant zeros in a linear time-invariant system with state delay is considered. In the state-space framework, invariant zeros are treated as triples: complex number, nonzero state-zero direction, input-zero direction. Such a treatment is strictly related to the output-zeroing problem and in that spirit the zeros can be easily interpreted. The problem of zeroing the system output is discussed. For systems of uniform rank, the first nonzero Markov parameter comprises a certain amount of information concerning invariant zeros, output-zeroing inputs and zero dynamics. General formulas for output-zeroing inputs and zero dynamics are provided.</p></abstract>

The concept of invariant zeros in a linear time-invariant system with state delay is considered. In the state-space framework, invariant zeros are treated as triples: complex number, nonzero state-zero direction, input-zero direction. Such a treatment is strictly related to the output-zeroing problem and in that spirit the zeros can be easily interpreted. The problem of zeroing the system output is discussed. For systems of uniform rank, the first nonzero Markov parameter comprises a certain amount of information concerning invariant zeros, output-zeroing inputs and zero dynamics. General formulas for output-zeroing inputs and zero dynamics are provided.

Zeros in linear systems with time delay in state

Faculty of Electrical Engineering, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland

International Journal of Applied Mathematics and Computer Science

{"article-title":"Zeros in linear systems with time delay in state"}

The concept of invariant zeros in a linear time-invariant system with state delay is considered. In the state-space framework, invariant zeros are treated as...

Zeros in linear systems with time delay in state

Published Online: Dec 31, 2009

Page range: 609 - 617

DOI: https://doi.org/10.2478/v10006-009-0048-9

Keywords
linear systems, time delay in state, state-space methods, output-zeroing problem, invariant zeros

This content is open access.

Zeros in linear systems with time delay in state

Published Online: Dec 31, 2009

Page range: 609 - 617

DOI: https://doi.org/10.2478/v10006-009-0048-9

Keywordslinear systems, time delay in state, state-space methods, output-zeroing problem, invariant zeros

This content is open access.

Keywords
linear systems, time delay in state, state-space methods, output-zeroing problem, invariant zeros