Abstract
We deal with linear time-invariant (LTI) systems. A discrete-time LTI system has general form
where t ∈ I is a nonnegative integer, x ∈ ℝ n is a state vector, u ∈ ℝ m is a control input, w ∈ ℝ n is a disturbance input, and y ∈ ℝ p is an output. A, B, and C are constant real-valued matrices called, respectively, state, input, and output matrices. Scalar t orders variables such that those with index t follow those with index τ if t > τ. A natural order is time.
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Caravani, P. (2013). Introduction to the Control Problem. In: Modern Linear Control Design. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6943-8_1
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DOI: https://doi.org/10.1007/978-1-4614-6943-8_1
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Publisher Name: Springer, New York, NY
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Online ISBN: 978-1-4614-6943-8
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