Based on averaging theory, after approximates the flight dynamics with a linear time-invariant model developed through model identification, flight control is designed based on the identified model.

In order to solve the underactuation problem in flight control of insect-like flapping wing micro air vehicle (FMAV),a periodic time-varying feedback control strategy based on averaging theory is proposed to control the FMAV and the input parametric design method for the controller is given.

Based on the Warela market microcosmic equilibrium theory, the essay introduced the ideas on water price elastic coefficient and water price in water-saving way, thoroughly analyzed the main factors affected the water price, used the experience of the related work, combined with the actual condition of Hebei province, and made some practical calculating methods for water price in water-saving way.

This thesis introduces a resource management model based on market mechanism and equilibrium theory.

Through analysis of the regressive relationship between elevation and crustal thickness we have calculated the lithospheric thickness of the northern plateau by adopting the equilibrium theory.

An improved adaptive harmonic detection method based on least squares algorithm was presented,its stability is proved by averaging theorem of dynamical system theory.