Discrete and Hybrid State System Modeling and Analysis
Classical modeling of physical systems relies on differential-difference type equations. However many systems todey cnotain logical quantities and discrete decision makers. For example, a robot can be modeled by differential equations but the task of the robot or how to accomplish that task requires dealing with logic (discrete) variables. We develop a discrete and hybrid state system formulation to study systems with both discrete and continuous quantities. We provide some analysis methods for hybrid state systems. We investigate classical Lyapunov stability of a continuous state in a hybrid state system configuration. Furthermore, we consider two examples of hybrid state systems.
DOĞRUEL, Murat (1997) "Discrete and Hybrid State System Modeling and Analysis," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 5: No. 2, Article 8. Available at: https://journals.tubitak.gov.tr/elektrik/vol5/iss2/8