System transformation induced by generalized orthonormal basis functions preserves dissipativity
Paolo Rapisarda, Yoshito Ohta · ePrints Soton (University of Southampton) · 2018
This paper discusses the dissipativity of transformed systems induced by generalized orthonormal basis functions. The dissipativity includes both passivity and the finite system gain property. We prove that the transformed system preserves the dissipativity and shares a common storage function when the original continuous-time system is dissipative. The results further illuminates the properties of this class of system transformation.