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Stability by feedback of the first order singular distributed parameter control systems containing infinite non-negative real part poles

Stability by feedback of the first order singular distributed parameter control systems containing infinite nonnegative real part poles are discussed via functional analysis and operator theory in Hilbert space. The sufficient conditions of stability by feedback and the constructive expression of feedback control law,which make the closed loop singular distributed parameter control systems to be asymptotical stable,are given. This research is theoretically important for studying stability by feedback of the singular distributed parameter control systems.