Abstract
In this paper, a novel parameter-memorized Lyapunov function is proposed for stability analysis of discrete-time linear systems with time-varying parametric uncertainties. The parameter-memorized Lyapunov function depends on the uncertain parameters with a memory of a certain interval. It is shown that the previous parameter-dependent Lyapunov function is a special memoryless case of the parameter-memorized Lyapunov function, and as a result, the parameter-memorized Lyapunov function approach leads to less conservative results. Furthermore, if the length of the interval for parameter memory is sufficiently long, a nonconservative stability analysis result can be achieved. Numerical examples are provided to evaluate the obtained theoretical results.
Original language | English (US) |
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Pages (from-to) | 450-454 |
Number of pages | 5 |
Journal | Automatica |
Volume | 87 |
DOIs | |
State | Published - Jan 2018 |
Externally published | Yes |
Keywords
- Discrete-time systems
- Parameter-memorized Lyapunov function
- Time-varying parameters
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering