Abstract: Hybrid dynamical systems are capable of simultaneously exhibiting continuous-time dynamics, discrete-time dynamics, logic commands, discrete events, and resetting events. The mathematical descriptions of many hybrid dynamical systems can be characterized by impulsive differential equations. Impulsive dynamical systems can be viewed as a subclass of hybrid systems and consist of three elements, namely, a continuous time differential equation, which governs the motion of the dynamical system between impulsive or resetting events; a difference equation, which governs the way the system states are instantaneously changed when a resetting event occurs; and a criterion for determining when the states of the system are to be reset. The range of applications of hybrid and impulsive dynamical systems is not limited to controlled dynamical systems. Their usage arises in several different fields of science, including computer science, mathematical programming, and modeling and simulation. In this talk, we are concerned with the stability of the origin and the existence of disconnected limit cycles and illustrate how the continuous subsystem and the discontinuous subsystem influence each other.
Seminarsko predavanje bo v petek 19. julija 2013 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritličje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.