Quadratic stabilizability of a new class of linear systems with structural independent time-varying uncertainty

Sanqing Hu, Jun Wang

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

This paper investigates the problem of designing a linear state feedback control to stabilize a new class of single-input uncertain linear dynamical systems. Uncertain parameters in the system matrices are time-varying and bounded in given compact sets. We first provide a concept called `new standard system', where some of the entries are required to be negative sign-invariant and sign-invariant, and each entry varies independently in an arbitrarily large range. Then, for a class of new standard systems we derive a necessary and sufficient condition under which a system can be quadratically stabilized by a linear control for all admissible variations of uncertainties. The result extends the main result in Wei.

Original languageEnglish
Pages (from-to)51-59
Number of pages9
JournalAutomatica
Volume37
Issue number1
DOIs
Publication statusPublished - Jan 2001
Externally publishedYes

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