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Controllability and Observability for a Class of Controlled Switching Impulsive Systems

Date

2008

Authors

Liu, Bin
Marquez, Horacio

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE Inc)

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.

Description

Keywords

Keywords: Collision avoidance; Controllability; Linear systems; Observability; Switching; Time sharing systems; Time varying control systems; Time varying systems; Characteristic polynomials; Controlled observability; Controlled switching; Hybrid systems; Impulsive Controllability; Controlled observability; Hybrid systems; Switching impulsive systems; Variation of parameters

Citation

Source

IEEE Transactions on Automatic Control

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1109/TAC.2008.2007476

Restricted until

2037-12-31