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Stability domain for a class of nonlinear switched systems. (Chinese. English summary) Zbl 1139.93335

Summary: Proposes the concepts of nonlinear circulant system and nonlinear circulant switched system and develops correspondingly the mathematical models, which are extended from hypercycle as a biological. The two kinds of systems thus have a wide background in practice. The stability domain of both systems proposed are studied separately, and the stability domain of the nonlinear circulant switched system in accordance to arbitrary and certain switching laws is given in terms of the eigenvalues of circulant system matrices. Simulation has verified the results.

MSC:

37N99 Applications of dynamical systems
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