A special class of hybrid systems is considered, whose state space is a cross-product space of a euclidean space and a finite-state space. Such models may be used to represent systems subject to known abrupt parameter variations, such as commutated networks. They may also be used to approximate some types of time-varying systems. Controllability, observability and stability of hybrid systems are investigated. In particular, a necessary and sufficient algebraic condition, a simple algebraic criterion and a computationally simple algebraic sufficient test for controllability and observability are derived. Moreover, a simple sufficient stability condition is provided.
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications