Optimal Control of Switched Systems with Dimension-varying State Spaces

We first review the works accomplished in the area of hybrid and switched systems and then motivate the study for switched systems with dimension-varying state spaces. A unified modeling framework and some other necessary preliminaries of switched systems are introduced. A discipline for classification of switched systems by the type of their switching schemes is proposed, thereby three classes of optimal control problems of switched systems with dimension-varying state spaces are formulated by the example of spacecraft formation reconfiguration.