Stability determines whether a given steady state solution is likely to be observed in reality.
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Hence we use a transient approach as several relaxations are often required in obtaining a steady state solution.
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Then the discrete-time OPE converge to a steady state solution that determines the time-invariant reduced-order LQG controller.
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Once the steady state solution is found, the "'operating points "'of each element in the circuit are known.
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These solutions, furthermore, as demonstrated mathematically by Pasinetti exist, they are unique, and, moreover, their steady state solutions are stable.
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Since real systems ( unlike deterministic models ) tend to be subject to random background noise, an unstable steady state solution is unlikely to be observed in practice.
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To understand the pattern selection mechanism, the method of spatial dynamics is used, which was found to be an effective method exploring the multiplicity of steady state solutions.
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If the speed is prohibitive, there are mathematical techniques, such as Jacobi s Iterative Method or Forward-Backward Recursions that can be used to derive the steady state solution of a CNN processor.
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The largest eigenvalue should always be zero ( corresponding to the steady state solution ), but this is susceptible to roundoff error . ( Until now I has postcorrected the eigenvalue setting the highest one to zero ) For the remaining eigenvalues the ratio between min and max can be assumed to be smaller than 1000.
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