Finite-time boundedness analysis for switched linear systems with large delay period

In this paper, finite-time stability (FTS) and finite-time boundedness (FTB) are investigated for a class of switched linear systems with large delay period and input disturbances. The limitation of the frequent and length of large delay period (LDP) are used to guarantee the properties of the FTS and FTB. By constructing a piecewise Lyapunov functional with large delay integral terms, the sufficient conditions satisfying the finite-time convergence are developed in the form of matrix inequalities. A numercal example is provided to demonstrate the effectiveness of the proposed results.