Abstract
This letter deals with the stability analysis problem of discrete-time switched linear systems with ranged dwell time. A novel concept called $L$ -switching-cycle is proposed, which contains sequences of multiple activation cycles satisfying the prescribed ranged dwell time constraint. Based on $L$ -switching-cycle, two sufficient conditions are proposed to ensure the global uniform asymptotic stability of discrete-time switched linear systems. It is noted that two conditions are equivalent in stability analysis with the same $L$ -switching-cycle. These two sufficient conditions can be viewed as generalizations of the clock-dependent Lyapunov and multiple Lyapunov function methods, respectively. Furthermore, it has been proven that the proposed $L$ -switching-cycle can eventually achieve the nonconservativeness in stability analysis as long as a sufficiently long $L$ -switching-cycle is adopted. A numerical example is provided to illustrate our theoretical results.
Original language | English (US) |
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Article number | 9446561 |
Pages (from-to) | 728-733 |
Number of pages | 6 |
Journal | IEEE Control Systems Letters |
Volume | 6 |
DOIs | |
State | Published - 2022 |
Keywords
- Dwell time
- Lyapunov methods
- stability
- switched systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Control and Optimization