The mathematical model of a high-speed hybrid communication system based on free-space optical (FSO) and radio-frequency (RF) technologies is considered. Multimedia information is transmitted using two communication lines operating in the hot redundancy mode, namely, an FSO channel and a millimeter radio-frequency channel. In addition, we derive ergodicity conditions for the Markov process describing the system operation and provide some performance characteristics for the hybrid communication channel.

In this work, we propose algorithms for optimizing the choice of feedback in the modal control problem in multidimensional linear systems with the criterion of minimizing the norm of the feedback matrix. The proposed approaches to solving this problem are based on representing the original system in an orthonormal basis. In particular, representing controllability in a block form lets us divide a high dimensional optimization problem into optimization subproblems of lower dimension. We pay special attention to finding the initial value of the feedback matrix with suboptimal search procedures. We give recommendations on constructing numerical search procedures for suboptimal solutions with gradient-based methods. The efficiency of the developed algorithms is demonstrated with numerical examples.

We consider a simple and efficient method to synthesize linear phase-sensitive transformations of a periodic signal with exponential disturbances. Such transformations ensure amplitude measurement for components of the fundamental harmonic, as well as attenuation of exponential parasitics and other parasitics of the signal (viz., network disturbances, signal harmonics, and quantizing distortion).

Consideration was given to a graphic realization of the method of dynamic programming. Its concept was demonstrated by the examples of the partition and knapsack problems. The proposed method was compared with the existing algorithms to solve these problems.