Mathematical Description of Linear Dynamical Systems

摘要: There are two different ways of describing uynamicu systems: (i) bymeans state variables and (ii) by input/output relations. The first method may be regarded as an axiornatization Newton’s laws mechanics is taken to the basic definition a system.It then shown (in linear case) that relations determine only one part system, which completely observable controllable. Using theory controllability observability, methods given for calculating irreducible realization impulse-response matrix. In particular, explicit procedure minimal number necessary realize transfer-function Difficulties arising from use reducible realizations discussed briefly.