期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 54, 期 5, 页码 1035-1041出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2009.2017155
关键词
Hybrid systems; linear matrix inequality; sum of squares; switched systems
资金
- Engineering and Physical Sciences Research Council [EP/E05708X/1]
- Engineering and Physical Sciences Research Council [EP/E05708X/1] Funding Source: researchfish
- EPSRC [EP/E05708X/1] Funding Source: UKRI
We present a methodology for robust stability analysis of nonlinear hybrid systems, through the algorithmic construction of polynomial and piecewise polynomial Lyapunov-like functions using convex optimization and in particular the sum of squares decomposition of multivariate polynomials. Several improvements compared to previous approaches are discussed, such as treating in a unified way polynomial switching surfaces and robust stability analysis for nonlinear hybrid systems.
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