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Jorg KRUPAR Jan LUNZE Axel SCHILD Wolfgang SCHWARZ
Discretely controlled continuous systems are characterised by their interacting continuous and discrete dynamics, where the continuous subsystem usually represents the system to be controlled and the discrete part describes the controller that switches the continuous system among different operation modes. This paper analyses systems where a perpetual switching of the operation mode has to occur in order to maintain the system's state in a prescribed operating region. It is shown how the analysis of the overall hybrid system can be simplified by using an embedded map that determines the behaviour at the switching instants.
Jung-Su KIM Tae-Woong YOON Claudio DE PERSIS
A switched nonlinear system is considered, and the interval between two consecutive switchings is assumed to be greater than a value called "the dwell time." When switching among nonlinear systems, using a constant dwell time generally fails to lead to stability. In this letter, a state dependent dwell time function with convergence guarantees is presented for discrete-time stable nonlinear systems.