Title :
Well-posedness of two classes of singular distributed parameter systems in Hilbert space
Author :
Liu, Feng ; Shi, Guodong ; Chu, Delin
Author_Institution :
Inst. of Control Theor. & Applic., Jiangsu Teachers Univ. of Technol., Changzhou, China
Abstract :
One of the most important problems for the study of singular distributed parameter systems is the well-posedness. Not only is it very important for the study of stability of singular distributed parameter systems, but also it is the theoretic basis for the study of the related problem of optimal control. In this paper, the concepts and the properties of generalized operator semigroup(GOS) and generalized integral semigroup(GIS) are given in Hilbert space, the solving problem of the non-homogeneous singular distributed parameter system is discussed by the concepts and the properties of GOS and GIS in Hilbert space, and some important results of the two classes of singular distributed parameter systems are given.
Keywords :
Hilbert spaces; distributed parameter systems; singular optimal control; stability; Hilbert space; generalized integral semigroup; generalized operator semigroup; nonhomogeneous singular distributed parameter systems; optimal control; well-posedness; Artificial neural networks; Circuit stability; Distributed parameter systems; Generators; Geographic Information Systems; Hilbert space; Thermal stability; Hilbert space; generalized integral semigroup; generalized operator semigroup; singular distributed parameter system; well-posedness;
Conference_Titel :
Control Automation Robotics & Vision (ICARCV), 2010 11th International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-7814-9
DOI :
10.1109/ICARCV.2010.5707298
