In this paper, finite-time stability and stabilization of switched singular systems are studied. Firstly, we discuss the solvability condition of the switched singular system and introduce the concepts of finite-time stability and finite-time boundness. Secondly, using the mode-dependent average dwell time method and the Lyapunov function method, we provide sufficient conditions to guarantee that the switched singular system is regular, impulse free, and finite-time stable or finite-time bounded. Then, we design the state feedback controllers to ensure that a closed-loop system is finite-time stable and finite-time bounded with a present H disturbance attenuation level . Finally, numerical examples are given to verify the efficiency of the proposed theory.

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In this paper, we focus on the adaptive robust input quantized control problem for a class of uncertain nonlinear switched systems under a state‐dependent switching law. The considered systems admit the non‐ISS unmodeled dynamics, the unknown virtual control coefficients, and an unknown parameter. In order to reduce the conservativeness of the common Lyapunov function, the multiple Lyapunov functions method is used to design a state‐dependent switching law. Besides, to overcome the design difficulty arising from the quantization behavior, a nonlinear decomposition method is used to establish the relationship between the control signal and the quantized signal. We put forward the adaptive robust controllers for the individual subsystems, based on which the resulted closed‐loop system is uniformly ultimately bounded. Finally, to verify the effectiveness of the proposed control scheme, two examples are given to construct the adaptive robust controllers.

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