TABLE OF CONTENTS The state of a dynamical system is a minimal set of variables x 1(t), x 2( t) x 3(t) x n(t) such that the knowledge of these variables at t = t 0 (initial condition), together with the knowledge of inputs u 1 (t), u 2( t), u 3( t) u m (t) for t ? 0, completely determines the behavior of the system for t < t 0.
The variables x 1( t),x 2( t),x 3( t) x(t) such that the knowledge of these variables at t = i 0 (initial condition), together with the knowledge of inputs u 1( t), u 2( t), u 3( t) u m( t) for t ? t 0, completely determines the behavior of the system for t < t 0; are called state-variables. In other words, the variables that determine the state of a dynamical system, are called state-variables.
If n state variables x 1 (t), x 2( t), x 3(t) x n( t) are necessary to determine the behavior of a dynamical system, then these n state-variables can be considered as n components of a vector x
