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Properties of linear switching time-varying discrete-time systems with applications

✍ Scribed by Aryan Saadat Mehr; Tongwen Chen

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
114 KB
Volume
39
Category
Article
ISSN
0167-6911

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✦ Synopsis

We study two discrete-time, linear switching time-varying (LSTV) structures, each of which consists of a periodic switch connected to several linear time-invariant (LTI) systems. Such structures can be used to represent any linear periodically time-varying (LPTV) systems. We give basic properties associated with the LSTV structures in terms of their LTI building blocks, and then apply the results to solve a general approximation problem: How to optimally approximate an LPTV system with period p by an LPTV system with period p? The optimality is measured using H 2 norms. The study is extended to general multirate periodic systems.

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