Kalman decomposition for implicit linear systems

Kalman decomposition for implicit linear systems

The Kalman decomposition for a general class of implicit systems is introduced and studied. The properties of strong reachability, observability, acceptance of all inputs and outer sequences, output-uniqueness, uniqueness, and trajectory observability of the original system are related to the proper...

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Veröffentlicht in:IEEE transactions on automatic control 1992-10, Vol.37 (10), p.1509-1514
Hauptverfasser: Banaszuk, A., Kociecki, M., Lewis, F.L.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Circuit theory
Computer science
control theory
systems
Control theory. Systems
Equations
Exact sciences and technology
Kalman filters
Linear systems
Neurofeedback
Observability
Output feedback
Power system economics
Power system modeling
Robotics and automation
System theory
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Beschreibung
Zusammenfassung:The Kalman decomposition for a general class of implicit systems is introduced and studied. The properties of strong reachability, observability, acceptance of all inputs and outer sequences, output-uniqueness, uniqueness, and trajectory observability of the original system are related to the properties of its subsystems obtained via the Kalman decomposition. The problems of transfer relation, regularizability by feedback, output feedback, and output injection are studied by means of this decomposition.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.256370