Actually I don't know the kinematic indeterminacy but I know staticly indeterminate structure.
Basically, in a indetermine structure you cannot analyse system by using simple static.You have to have somethig more such as deflection or something like that.The importance of indeterminete system is when the strcutre fails( ex failure of a beam) the structure still stands by disturrbing the forces another beams. Thus, all the structures have indetermancy.