1. Evolutionary linear Markov systems

1.1 Representation in state quantities

Let's take the generalized equations of an evolving linear system given in [ , equation (31)]. If this system is Markovian, its matrices A (t, τ ), B (t, τ ), C (t, τ ) and D (t, τ) reduce to Dirac pulses, of amplitudes A (t ), B (t ), C (t ) and D (t ) : ${\begin{array}{l} A (t, τ) = A (t) δ (t - τ) & B (t, τ) = B (t) δ (t - τ) \end{array}$

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Evolutionary linear Markov systems

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Non-linear Markov systems

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References

(1) - ANSARI (R.M.), TADÉ (M.O.) - Non-linear Madel-based Process Control. - Springer (2000).
(2) - ÅSTRÖM (K.), ALBERTOS (P.), BLANKE (M.), ISIDORI (A.), SCHAUFELBERGER (W.), SANZ (R.) - Control of Complex Systems. - Springer (2001).

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