Country # of positive 7-day stretches Training Testing Thailand 95 12 Malaysia 78 8 Philippines 85 9 Indonesia 83 7 Cambodia 88 7 Table 3: State transition matrix
Let A denote the [(L + 1).sup.K] x [(L + 1).sup.K] state transition matrix
However, the control update depends on the computation of the state transition matrix
. Both the eigenvalue-eigenvector method in AMPC and the Taylor/Pade series expansion method in general MPC for computing the matrix exponential of a large-scale system are time consuming.
[State.sub.1] [State.sub.2] [State.sub.3] 0.250 0.750 0.000 [State.sub.4] [State.sub.5] 0.000 0.000 TABLE 2: The state transition matrix
Let C be the n-cell 60/102 NBCA whose state transition matrix
T is as the following:
By constantly checking the state transition matrix
, we can find out whether the system will reach a steady state.
If there is a positive integer n such that all the entries in the state transition matrix
[P.sup.n] are positive, the Markov chain is said to be regular.
The state transition matrix
will be populated by calculating the probabilities for each state's likelihood to transition to any other state in the model.
Since [PSI](t, [t.sub.0]) ([t.sub.0] [greater than or equal to] 0) is the state transition matrix
of (4), [mathematical expression not reproducible].
Lemma 6 gives the state transition matrix
of AMC after n transitions.
where the state transition matrix
[mathematical expression not reproducible] with [mathematical expression not reproducible] ([T.sub.S] is time interval between adjacent positioning points).
After determining the second layer hidden states of the training set TD, the next step is compute the other three basic parameters of HMM in the condition of the second layer hidden states, including the initial probability matrix [pi], state transition matrix
A and confusion matrix B.