SOLUTION OF POLYNOMIALS FOR LINEAR STATIONARY SYSTEM WITH CONDITIONS TO STATE FUNCTION AND CONTROLLIBILITY FUNCTION

Tóm tắt

The aim of this article is to prove that, solution (state function) of the linear stationary dynamic system, which transfers the system from any initial conditions into any final conditions and the contents of these conditions for the controllibility function is possible to find in the type of polynomials of degree with vector coefficients. The basis of the theory is a method to prove the cascade splitting to transform the original system into an equivalent system, which means that after the final step of conversion routines, we get a system that is completely controllibility (see [3], [4]). In the final step, we obtain a pseudo-state function satisfying the conditions and substituting this in the previous step. Continue this process until we obtain.