Analysis and Design of Hybrid Systems 2006: A Proceedings by Christos Cassandras, Alessandro Giua, Carla Seatzu, Janan

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

This quantity comprises the court cases of ADHS'06: the second IFAC convention on research and layout of Hybrid platforms, geared up in Alghero (Italy) on June 7-9, 2006. ADHS is a sequence of triennial conferences that goals to compile researchers and practitioners with a historical past up to speed and computing device technology to supply a survey of the advances within the box of hybrid platforms, and in their skill to absorb the problem of study, layout and verification of effective and trustworthy keep an eye on platforms. 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)

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If marking m belongs to Rk, we denote H ( m ) = Ilk the corresponding constraint matrix. Furthermore, the firing rate of transitions can also be represented by a diagonal m a t r i x A : T x T --+ R>0, where Aj if j - h A(tj, th) -- O, otherwise pl ~--~ ooo ~ 2 2 p3 Using this notation, the non-linear flow of t h e transitions at a given marking m (see eq. (1) for fj) can be w r i t t e n as: Fig. 1. Continuous P N system. Thus, the state space r e p r e s e n t a t i o n of this unforced system ( m ( T ) - C .

W i t h the new tracking target, a novel low-and-high gain control m e t h o d has been further proposed. 5 E~ 2 o 9 = 1 . Time (S) 2 . 3 , 2 3 6 3 Time IS) ~8. E~ 0 1 Time (S) Fig. 2. Convergence of markings. 5, 2, 7, 8] T. , J. Jtilvez, L. Recalde and M. Silva (2005). On controllability of timed continuous Petri net systems: the join free case. In: Proceedings of the ~ t h l E E R CDC and ECC 2005. Seville, Spain. 2]T + C~[1, 1, 1, 1. 1] T where c~ > 0. 3] T. 5 is the minimum value such t h a t ~ < O m i n { m 0 , mg}.

Deriving with respect to it, r e ( r ) - Cdr(7) is obtained. Define f(z) - dr(z), which denote flows of transitions. The s t a t e equation is m ( r ) - Cf(T). For n o t a t i o n simplicity, r will be o m i t t e d in the rest of the paper. For the definition of flow f, different semantics have been int r o d u c e d and the most i m p o r t a n t ones are infinite servers and finite servers. Infinite servers semantics will be considered in this work, which usually provides a much b e t t e r a p p r o x i m a t i o n of discrete behaviors.

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