Differentiability of the Pritchard-Salamon systems with admissible state-feedback  

作　　者：于欣 

机构地区：[1]Laboratory of Information and Optimization Technology, Ningbo Institute of Technology, Zhejiang University

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2005年第4期311-314,共4页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project (No. 10271111) supported partially by the National Natural Science Foundation of China

摘　　要：Many papers on a wide range of control problems for Pritchard-Salamon systems have appeared and many of its important mathematical and system theoretical properties have been revealed. This paper deals with the differentiability of the Pritchard-Salamon system with admissible state-feedback. Spectrum analysis showed that under definite condition, the unbounded perturbation semigroup of the Pritchard-Salamon system is eventually differentiable.Many papers on a wide range of control problems for Pritchard-Salamon systems have appeared and many of its important mathematical and system theoretical properties have been revealed. This paper deals with the differentiability of the Pritchard-Salamon system with admissible state-feedback. Spectrum analysis showed that under definite condition, the unbounded perturbation semigroup of the Pritchard-Salamon system is eventually differentiable.

关 键 词：C_0-semigroup DIFFERENTIABILITY Admissible operator Pritchard-Salamon systems PERTURBATION 

分 类 号：O231.4[理学—运筹学与控制论]