Stability by feedback of the second order singular distributed parameter systems containing infinite many poles

Abstract

Stability by feedback of the second order singular distributed parameter system containing infinite many poles is discussed via the operator theory and subnegative definite matrix, an equivalent proposition for the stability by feedback of this system is given, and the constructive expression of the feedback control law is given by the singular inverse one of bounded linear operator. This research is theoretically important for studying the stability of the singular distributed parameter systems. © 2010 Springer-Verlag Berlin Heidelberg.