By Christos Cassandras, Alessandro Giua, Carla Seatzu, Janan Zaytoon

ISBN-10: 0080446132

ISBN-13: 9780080446134

This quantity comprises the complaints of ADHS'06: the 2d IFAC convention on research and layout of Hybrid platforms, equipped in Alghero (Italy) on June 7-9, 2006. ADHS is a sequence of triennial conferences that goals to assemble researchers and practitioners with a historical past up to the mark and machine technological know-how to supply a survey of the advances within the box of hybrid structures, and in their skill to absorb the problem of research, layout and verification of effective and trustworthy regulate structures. ADHS'06 is the second one convention of this sequence after ADHS'03 in Saint Malo.

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**Additional info for Analysis and Design of Hybrid Systems 2006: A Proceedings volume from the 2nd IFAC Conference, Alghero, Italy, 7-9 June 2006 (IPV - IFAC Proceedings volume)**

**Example text**

T). The derivative of firing vector represents the flow of the t i m e d model f ( T ) -&(T). D e p e n d i n g on how the flow of the t r a n s i t i o n is defined m a n y firing semantics are possible; the most used in literature are finite servers semantics (or constant speed) and infinite server semantics (or variable speed) (Recalde and Silva, 2001) (David and Alla, 2004). A t r a n s i t i o n tj c T is enabled at m iff Vpi c "tj, mi > 0, and its enabling degree is enab(tj,m)-- min { mi }.

In a dt-contPN, this is not always true. Let us consider the net in Fig. 5. Assume transition t2 is stopped ( w 2 ( O ) = 0), then m3(1) = m a ( O ) - 0 . W 1 ( 0 ) - - 0 . 1 -- 0 . 5 • W 1 ( 0 ) . B u t W 1 ( 0 ) is upper b o u n d e d by A1. m3(0) - 5 . 0 . 5. If the m a x i m u m value is chosen, then m3(1) will be negative!! 5. R E A C H A B I L I T Y " E Q U I V A L E N C E " B E T W E E N S A M P L E D AND C O N T I N U O U S MODELS This can be avoided if the sampling period is small enough.

R , called the fundamental equation. which is T h e basic difference between discrete and continuous P N is t h a t the c o m p o n e n t s of t h e markings and firing count vectors are not restricted to take value in the set of n a t u r a l n u m b e r s but in the non-negative reals. The set of markings t h a t are reachable with a finite firing sequence for a given system IN', m o ) is denoted as R S un (A[, mo). In classical Systems and Signal Theory, it is wellknown t h a t the Sampling theorem (frequently known as the N y q u i s t - S h a n n o n sampling theorein) provides an u p p e r b o u n d for the sampling period of limited b a n d w i d t h signals in order " n o t to loose information".

### Analysis and Design of Hybrid Systems 2006: A Proceedings volume from the 2nd IFAC Conference, Alghero, Italy, 7-9 June 2006 (IPV - IFAC Proceedings volume) by Christos Cassandras, Alessandro Giua, Carla Seatzu, Janan Zaytoon

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