1. Lyapunov-Equation-Based Stability Analysis for Switched Linear Systems and Its Application to Switched Adaptive Control.
- Author
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Yuan, Shuai, Lv, Maolong, Baldi, Simone, and Zhang, Lixian
- Subjects
- *
LINEAR systems , *ADAPTIVE control systems , *LINEAR statistical models , *LINEAR control systems , *ALGEBRAIC equations - Abstract
This article investigates the stability of continuous-time switched linear systems with dwell-time constraints. A fresh insight into this established problem is provided via novel stability conditions that require the solution to a family of differential Lyapunov equations and algebraic Lyapunov equations. The proposed analysis, which leads to a peculiar Lyapunov function that is decreasing in between and at switching instants, enjoys the following properties: it achieves the same dwell time as the well-known result in the research “stability and stabilization of continuous time switched linear systems” by Geromel and Colaneri; it removes the increasing computational complexity of the linear interpolation method; it leads to a straightforward counterpart for discrete-time switched linear systems.We show the application of this methodology to the problem of adaptive control of switched linear systems with parametric uncertainties. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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