Observability and Constructibility for Time-Invariant Discrete-Time Systems

David F. Delchamps
Additional contact information
David F. Delchamps: Cornell University, School of Electrical Engineering

Chapter 16 in State Space and Input-Output Linear Systems, 1998, pp 202-207 from Springer

Abstract: Abstract In this section, we develop the discrete-time analogues of the concepts of observability and constructibility, which were described in §15 for continuous-time systems. Once again, each result has, along with its “abstract” version, a corresponding statement in terms of matrix pairs (A, C). We shall again be referring to the equations xxx $$[\begin{gathered} x\left( {k + 1} \right) = Ax\left( k \right) + Bu\left( k \right),k{\text{2A7E}}{k_o} \hfill \\ x({k_o}) = {x^o} \hfill \\ y(k) = Cx(k) = Du(k), \hfill \\ \end{gathered}$$ and to the time-invariant system with state space R n which they define as in Example 6.6. We begin with a pair of definitions which parallel Definitions 15.1 and 15.2.

Date: 1998
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-3816-4_17

Ordering information: This item can be ordered from
http://www.springer.com/9781461238164

DOI: 10.1007/978-1-4612-3816-4_17

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().