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This paper proposes an asymmetric Lyapunov function approach to the estimation of the domain of attraction for a linear system subject to asymmetric actuator saturation. Depending on the sign of each of the m inputs, the input space is divided into 2m regions. In each region, the linear system with asymmetrically saturated inputs can be expressed as a linear system with symmetric deadzones. A quadratic...
This paper revisits the problem of estimating the domain of attraction for systems with saturation nonlinearities. We divide the input space into several regions. In one of these regions, none of the inputs saturate. In each of the remaining regions, there is a unique input that saturates everywhere with the time-derivative of its saturated signal being zero. These special properties of the inputs...
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