Title :
Robust stability of the time varying singular distributed parameter system in hilbert space
Author_Institution :
Dept. of Appl. Math., Xi´an Jiaotong Univ., Xi´an, China
Abstract :
Perturbation and robust exponential stability of the time varying singular distributed parameter system are discussed via functional analysis and operator theory in Hilbert space. The perturbation principle of generalized evolution operators and the sufficient condition concerning the robust exponential stability of the time varying singular distributed parameter system are obtained, in which the exponential stability for the time varying singular distributed parameter system is not destroyed, if we perturb the equation by linear operator. The perturbation are assumed to have unbounded structure and the smallest perturbation which destroys exponential stability is determined.
Keywords :
Hilbert spaces; asymptotic stability; distributed parameter systems; functional analysis; perturbation techniques; robust control; time-varying systems; Hilbert space; functional analysis; generalized evolution operators; linear operator; operator theory; perturbation principle; robust exponential stability; sufficient condition; time varying singular distributed parameter system; unbounded structure; Control theory; Distributed parameter systems; Hilbert space; Robust stability; Robustness; Time-varying systems; perturbation; robust exponential stability; time varying singular distributed parameter system;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6897051
