Polynomial stability of positive switching homogeneous systems with perturbations
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.
forward switching systempolynomial stabilityexternal input,homogeneous collaborative system
万方数据
维普
