Dissipative Distributed Systems
The notion of a dissipative system is among one of the more useful concepts in systems theory. It may be viewed as a natural generalization of a Lyapunov function to ‘open’ systems. Many results involving stability of systems and design of robust controllers make use of this notion. The theory of dissipative systems has been developed mainly for systems that have time as its only independent variable (1-D systems). However, models of physical systems often have several independent variables (i.e., they are n-D systems), for example, time and space variables. In this paper we develop the theory of dissipative systems for n-D systems.
KeywordsDissipation Rate Image Representation Dissipative System Polynomial Matrix Manifest Variable
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