Block approach to analysis and synthesis of linear dynamic systems

The problem of “large dimension” is appearing with feedback synthesis in multidimensional dynamic systems. Using of decomposition methods allows one to overcome this problem. In the paper the review of block forms for linear multidimensional dynamic systems is presented. These forms represent of structural property of mathematical model of plant. On the basis of these forms decomposition principle is realized validly with synthesis of fundamental problems such as stabilization, invariance, observation and tracking.