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A soft variable structure control (SVSC) strategy based on S-class functions is addressed in this paper. Firstly, the definition of SVSC strategy is given, the structure of SVSC system under constrained control input is analyzed, and S-class functions with smoothness, strict monotonicity, and saturation are presented. Secondly, the sufficient condition on(More)
For a higher-order nonlinear impulsive ordinary differential equation, we present the concepts of Hyers– Ulam stability, generalized Hyers–Ulam stability, Hyers–Ulam–Rassias stability, and generalized Hyers– Ulam–Rassias stability. Furthermore, we prove the generalized Hyers–Ulam–Rassias stability by using integral inequality of Grönwall type for piecewise(More)
This paper concerns the input-to-state stability (ISS) problems for a class of discrete-time nonlinear input-saturated switched descriptor systems (SDSs). An ISS criterion that only partial subsystems are exponentially stable is provided based on average dwell time method and discrete-time iterative algorithm. The proof difficulty is greatly decreased, and(More)
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