Abstract
This paper presents a unified approach to formulating stability conditions for slowly time-varying linear systems and switched linear systems. The concept of total variation is generalized to the case of matrix-valued functions. Using this generalized concept, a result extending existing stability conditions for slowly time-varying linear systems is derived. As special cases of this result, two sets of stability conditions are derived for switched linear systems, which match known results in the literature. A numerical example is included to further illustrate the application of the main result.
Original language | English (US) |
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Pages (from-to) | 110-120 |
Number of pages | 11 |
Journal | Automatica |
Volume | 96 |
DOIs | |
State | Published - Oct 2018 |
Keywords
- Linear systems
- Slowly time-varying systems
- Stability
- Switched systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering