Hybrid Systems

Many of the dynamical systems can be mathematically described in terms of continuous-valued variables. However, with the increasing complexity of newer engineering applications, it is no longer sufficient to rely on models that are expressed in terms of only continuous variables. In many of the systems, the model variables are discrete-valued for example in logical computing elements or in devices with ON/OFF or multi-mode states. Complexity of a system e.g. due to composition of subsystems with different types of variables can result in a dynamical system with a hybrid set of continuous/discrete state variables which is briefly denoted as a hybrid system.
Hybrid system models find applications in industrial automation, energy systems, biological systems, and many other kinds of cyber-physical systems. The broad range of various control problems can be restated for hybrid systems among which symbolic approaches and model predictive control are of particular interest in our research.