A Unified Lyapunov Approach to Analysis of Oscillations and Stability for Systems With Piecewise Linear Elements

作者：Hu Tingshu^*; Thibodeau Thomas; Teel Andrew R

来源：IEEE Transactions on Automatic Control, 2010, 55(12): 2864-2869.

DOI：10.1109/TAC.2010.2073070

• Piecewise linear systems
• piecewise quadratic function
• self-induced oscillation
• stability

This technical note develops a unified Lyapunov approach to analysis of self-induced oscillations and stability for systems with piecewise linear elements. For self-induced oscillation within a global or regional attractor, invariant level sets of a piecewise quadratic Lyapunov function are obtained to bound the attractor via linear matrix inequality based optimization. The analysis results for self-induced oscillations are easily adapted to global or regional stability analysis.

• 出版日期2010-12