This paper investigates the polynomial stability of positively switching homogeneous nonlinear systems with bounded external inputs.Under the condition of average residence time switching,continuous time positively switching nonlinear systems with vector fields of 0＜q＜1 homogeneous and synergistic are discussed;An explicit polynomial stability criterion for the system under average residence time switching was established using a Lyapunov function different from the usual one;The main conclusion of switching nonlinear systems is extended to more general switching nonlinear time-varying systems by utilizing the properties of time-varying functions.Finally,two numerical examples were provided to verify the effectiveness of the obtained results.
关键词
正切换非线性系统/多项式稳定性/外源输入/对数收缩平均停留时间
Key words
forward switching system/polynomial stability/external input,homogeneous collaborative system
维普
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