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The studies of the peculiarities of inertial effects (IE) application for stabilization of multimode nonlinear systems and complex structures are considered in that paper. It is showing that stabilizing effects in the field of influence of inertial properties of nonlinear systems do not require strict restrictions on their phasing and open up new possibilities of control and stabilization of multimode nonlinear systems and complex structures.

The diagnostics method for multimode nonlinear radiophysical systems with chaotic dynamics based on the multimode models is offered. It is shown that quasi-resonance and inertial controlling influence on the system's parameters can ensure the dominance of necessary chaotic or regular behavior mode of multimode nonlinear radio physics systems. A new approach in diagnostics of gas discharge plasma condition on the bases of generalized multimode model was offered. This diagnostic was made on the bases of analyses of absolute and dissipative terms of generalized oscillators of multimode model which taking into account the nonlinearity of gas discharge plasma.

The Bragg microwave structures on the coaxial waveguide, constructed on the basis of the transfer optical technologies similar to the Bragg fiber grating, are considered. It is offered to use versions of such coaxial Bragg microwave structures in sensor application, in particular, creation of strain gauges, instruments for measuring dielectric constant of liquids and liquid products' level is considered. Methods for description of periodic inhomogeneous microwave structures characteristics and ways to modify the form of the frequency dependence of scattering parameters are viewed.

The implementation of non-absorbent polymers thermal destruction initiated by indirect heating in an intense electromagnetic microwave field using carbon thermal conversion elements is considered. Results of theoretical analysis based on mathematical modeling and experimental investigation into depolymerization of the polymer are analyzed. Polystyrene and polymethylmethacrylate are the investigated polymers; their destruction products are styrene and methyl methacrylate.