Nonlinear, dissipative, infinite dimensional systems

Research Report MRR98-014

Nonlinear, dissipative, infinite dimensional systems

Maciej Kocan , Pierpaolo Soravia

Abstract: In this paper we study and characterize dissipative, infinite dimensional, nonlinear and unbounded systems. We show that the system is dissipative with respect to a given supply rate and a function V is a storage function for the system if and only if V satisfies a suitable partial differential inequality in the sense of viscosity solutions. We also characterize by a representation formula (as the available storage) the minimal among all solutions of such a partial differential inequality. Applications to nonlinear ${\Cal H}_\infty$ control are also discussed.

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Download paper:	PDF file (212K)
	gzipped PostScript file (244K)

Download cover sheet:	PDF file (51K)
	DVI file (2K)