Projection-based integrators for improved motion control: Formalization, well-posedness and stability of hybrid integrator-gain systems

Well-posedness of Hybrid Systems

Control Design for Integrator Hybrid Systems

We define controllability for hybrid systems as the existence of correct control-laws that transfer the hybrid plant between pre-defined subsets of the hybrid state-space. A methodology for analyzing controllability and synthesizing control-laws for a class of hybrid systems, applicable expecially in batch control, is proposed. We use a framework consisting of a hybrid plant and a hybrid contro...

Well-posedness and Stability Analysis of Hybrid Feedback Systems Using Shkalikov’s Theory

The modern method of analysis of the distributed parameter systems relies on the transformation of the dynamical model to an abstract differential equation on an appropriately chosen Banach or, if possible, Hilbert space. A linear dynamical model in the form of a first order abstract differential equation is considered to be well-posed if its right-hand side generates a strongly continuous semi...

Spectral Approach to Well-posedness and Stability Analysis of Hybrid Feedback Systems

The modern method of analysis of the distributed parameter systems relies on the transformation of the dynamical model to an abstract diierential equation on an appropriately chosen Banach or, if possible, Hilbert space. A linear dynamical model in the form of the rst order abstract diierential equation is considered to be well-posed if its right-hand side generates a strongly continuous semi-g...

Well-posedness of the Complementarity Class of Hybrid Systems

One of the most fundamental properties of any class of dynamical systems is the study of well-posedness, i.e. the existence and uniqueness of a particular type of solution trajectories given an initial state. In case of interaction between continuous dynamics and discrete transitions this issue becomes highly non-trivial. In this survey an overview is given of the well-posedness results for com...