Matthias Albrecht Müller

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Keywords: Switched systems Input/output-to-state stability (IOSS) State-norm estimators a b s t r a c t In this paper, the concepts of input/output-to-state stability (IOSS) and state-norm estimators are considered for switched nonlinear systems under average dwell-time switching signals. We show that when the average dwell-time is large enough, a switched(More)
— The contribution of this paper is twofold. First, we discuss necessity of a dissipativity condition which was recently used to prove optimal operation of a system at steady-state in an economic MPC framework. We illustrate with several examples that this dissipativity condition is not necessary, but comes close to being so in a certain sense. Second, we(More)
— We study a dissipativity property which was recently used in several results on economic model predictive control to ensure optimal operation of a system at steady-state as well as stability. This dissipativity property involves a supply rate which depends on the state and input constraints imposed on the system. The main contribution of this paper is to(More)
—In this paper, we introduce and study the notion of norm-controllability for nonlinear systems. This property captures the responsiveness of a system with respect to applied inputs, which is quantified via the norm of an output. As a main contribution , we obtain several Lyapunov-like sufficient conditions for norm-controllability, some of which are based(More)
— In this paper, we introduce and study the notion of " norm-controllability " for nonlinear systems. This property captures the responsiveness of a system with respect to the applied inputs, which is quantified via the norm of an output map. As a main contribution, we obtain a Lyapunov-like sufficient condition for norm-controllability. Several examples(More)
The purpose of this paper is to survey and discuss recent results on norm-controllability of nonlinear systems. This notion captures the responsiveness of a nonlinear system with respect to the applied inputs in terms of the norm of an output map, and can be regarded as a certain type of gain concept and/or a weaker notion of controllability. We state(More)
— This work presents an unconstrained model pre-dictive control (MPC) scheme for nonlinear time-delay systems with guaranteed closed-loop stability using neither terminal constraints nor terminal weighting terms. Therefore, we do not require the calculation of control Lyapunov-Krasovskii functionals for the nonlinear time-delay system and obtain a(More)
— In this paper, we further study the recently introduced notion of norm-controllability, which captures the responsiveness of a nonlinear system with respect to applied inputs in terms of the norm of an output map. We give sufficient conditions for this property based on higher-order lower directional derivatives, which generalize the results obtained in(More)