Abstract
In this paper, a new approach for stability analysis of time-dependent switched linear systems is proposed. System equivalence is the main idea in this new approach, which derives a switched discrete linear parameter-varying system from the switched continuous-time linear switched system with interval dwell time, and the stability properties of the two corresponding systems are proved to be equivalent. Then, by applying a quadratic Lyapunov function approach for the equivalent switched discrete system, the stability of the switched continuous-time linear system can be established without checking any average dwell time condition. Finally the computation complexity is analyzed, and mode incidence matrix is introduced to reduce the computation cost.
Original language | English (US) |
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Pages (from-to) | 461-468 |
Number of pages | 8 |
Journal | Asian Journal of Control |
Volume | 16 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2014 |
Externally published | Yes |
Keywords
- Time-dependent switched systems
- interval dwell time
- mode incidence matrix
- quadratic Lyapunov function
- system equivalence
ASJC Scopus subject areas
- Control and Systems Engineering