1. Controllability and Observability for a Class of Controlled Switching Impulsive Systems.
- Author
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Bin Liu and Marquez, Horacio J.
- Subjects
- *
HYBRID systems , *SYSTEMS theory , *SYSTEM analysis , *LINEAR systems , *AUTOMATIC control systems , *CONTROL theory (Engineering) - Abstract
In this note, we study the controllability and observability problem for a class of controlled switching impulsive systems. By proposing several formula of variation of parameters for this type of time-varying systems and employing the characteristic polynomial theory of matrix, we establish necessary and sufficient conditions for controllability and controlled observability with respect to a given switching time sequence. Specializing the obtained results to the case of time-invariant linear switching impulsive systems, we derive some simple algebraic criteria, which include the results reported in the literature for time-invariant linear switching systems, linear impulsive systems and classical linear systems. One example is worked out for illustration. [ABSTRACT FROM AUTHOR]
- Published
- 2008
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