Input-to-state stability of switched systems with explicit gain functions

Abstract Input-to-state stability (ISS) for a switched system is a stronger property than stability in characterizing the external influence on system performance. In this paper, we study ISS for a linear switched system with marginally stable subsystems and hence with polynomially unstable subsystems. Moreover, we aim to calculate an explicit ISS gain which is critical in explicit controller design when the linear switched system is incorporated with other dynamic behavior in a complicated large-scale structure.

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