Stability by feedback of the second order singular distributed parameter systems containing finite many poles with multi-observers

Stability by feedback of the second order singular distributed parameter system containing finite many poles with multi-observers is discussed via functional analysis and operator theory in Hilbert space, the conditions of the problem existing solutions and the constructive expression of the solutions are 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.