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This paper presents a novel approach to stability analysis of affine blending systems. The analysis is based on Quadratic Lyapunov functions. The approach considers the nonlinear offset term in affine blending systems as non-vanishing perturbations added to the corresponding nominal linear blending systems. The affine blending systems will be bounded if the corresponding linear blending system is exponentially stable. The bound is determined by an ultimate limit, which is proportional to the maximum of the offset terms of each affine system.
Gao, Ruiyao : On stability of affine blending systems. Proceedings of the Irish Signals and Systems Conference, pp. 488-493, University of Limerick, July, 2003. doi:10.21427/mrne-ez28