# state transition equation

## state transition equation

[′stāt tran′zish·ən i‚kwā·zhən]
(control systems)
The equation satisfied by the n × n state transition matrix Φ(t, t0): ∂Φ(t, t0)/∂ t = A (t) Φ(t, t0), Φ(t0, t0) = I ; here I is the unit n × n matrix, and A (t) is the n × n matrix which appears in the vector differential equation dx (t)/ dt = A (t) x (t) for the n-component state vector x (t).
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Then, from (1), we have the corresponding discrete-time state transition equation
The KF model is a kind of state space method consisting of three important parts: state variable, state transition equation, and measurement equation.
Using Q(k) to denote the passenger flow during time interval k at a station, the state transition equation and measurement equation are formulated as follows:
Meanwhile, we combine the NR result in interval k with the KF result in interval k - 1 through Bayesian combination method and integrate them into the state transition equation of the KF model.
The paper using the method of Newmark-[beta] disperses the equations of motion and deduces the state transition equation containing the stiffness parameters to be identified.
This is described formally through the state transition equation of h, which governs the behavior of the state variable h over time:
Thus, we could also express the state transition equation for h as:
The agent knows the four parameters of the state transition equation of h namely (7):
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