Positive Linear Systems: Theory and ApplicationsISBN: 978-0-471-38456-4
Hardcover
318 pages
July 2000
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DEFINITIONS.
Definitions and Conditions of Positivity.
Influence Graphs.
Irreducibility, Excitability and Transparency.
PROPERTIES.
Stability.
Spectral Characterization of Irreducible Systems.
Positivity of Equilibria.
Reachability and Observability.
Realization.
Minimum Phase.
Interconnected Systems.
APPLICATIONS.
Input-Output Analysis.
Age-Structured Population Models.
Markov Chains.
Compartmental Systems.
Queueing Systems.
Conclusions.
Annotated Bibliography.
Bibliography.
Appendices.
Index.
Definitions and Conditions of Positivity.
Influence Graphs.
Irreducibility, Excitability and Transparency.
PROPERTIES.
Stability.
Spectral Characterization of Irreducible Systems.
Positivity of Equilibria.
Reachability and Observability.
Realization.
Minimum Phase.
Interconnected Systems.
APPLICATIONS.
Input-Output Analysis.
Age-Structured Population Models.
Markov Chains.
Compartmental Systems.
Queueing Systems.
Conclusions.
Annotated Bibliography.
Bibliography.
Appendices.
Index.