Standard diffusive systems are wellposed linear systems
Matignon, Denis and Zwart, Hans (2004) Standard diffusive systems are wellposed linear systems. In: 16th International Symposium on Mathematical Theory of Networks and Systems, 59 July 2004, Leuven, Belgium.

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Abstract:  The class of wellposed linear systems as introduced by Salamon has become a wellunderstood class of systems, see e.g. the work of Weiss and the book of Staffans. Many partial partial differential equations with boundary control and point observation can be formulated as a wellposed linear system. In parallel to the development of wellposed linear systems, the class of diffusive systems has been developed. This class is used to model systems for which the impulse response has a long tail, i.e., decays slowly, or systems with a diffusive nature, like the Lokshin model in acoustics. Another class of models arethe fractional differential equations, i.e., a system which has fractional powers of s in its transfer function 
Item Type:  Conference or Workshop Item 
Faculty:  Electrical Engineering, Mathematics and Computer Science (EEMCS) 
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