This paper addresses the stabilization issue for fractional order switching systems. Common Lyapunov method is generalized for fractional order systems and frequency domain stability equivalent to this method is proposed to prove the quadratic stability. Some examples are given to show the applicability and effectiveness of the proposed theory.

We propose a systematic method to determine the lower bound for internal buffering of practical CIOQ switching systems. To this end we introduce a deterministic traffic scenario that stresses the global stability of finite output queues. We demonstrate its usefulness by dimensioning the buffer capacity of the CIOQ under such traffic patterns. Compliance with this property maximizes the performa...

The notion of observability and detectability for a particular class of hybrid systems, linear continuous-time switching systems, is investigated. We compare some of the definitions of observability previously offered and we analyze their drawbacks. A novel definition of observability is proposed corresponding to the possibility of reconstructing the state of the system from the knowledge of th...

A model is introduced for a switching system consisting of a number of modes (e.g., diierential equations) together with a set of switching rules. The rules permit occasional nonuniqueness but are shown to preserve a continuous dependence property: the limit of solutions is a solution.

—We propose a systematic method to determine the lower bound for internal buffering of practical CIOQ switching systems. To this end we introduce a deterministic traffic scenario that stresses the global stability of finite output queues. We demonstrate its usefulness by dimensioning the buffer capacity of the CIOQ under such traffic patterns. Compliance with this property maximizes the perform...

Sharing buffer space between switch ports greatly improves the pelformunee of the switching systems. Howevel; sharing buffers in a fair Manner is not an easy task. In this paper we propose a high-performunee ATM switching system with fairly and completely shared buffers. The core of the proposed switching system is a novel buffer management mechanism with which buffer space in the switching sys...