Abstract
To introduce control systems nomenclature and concepts. To classify automatic control systems. To briefly discuss linear systems theory.
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- 1.
It is easily seen that a characteristic vector, \(\vec{x}(t) =\vec{ {X}_{k}}{e}^{{s}_{k}t}\) satisfies the homogeneous state equation, where \(\vec{{X}_{k}}\) is the eigenvector corresponding to the eigenvalue, s k . The general solution, which must also satisfy the initial condition, \(\vec{x}(0) =\vec{ {x}_{0}}\), is a combination of all n characteristic vectors. The decomposition of a system’s state into the characteristic vectors (or modes) is an alternative way of computing the state-transition matrix  [20].
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Tewari, A. (2011). Introduction. In: Automatic Control of Atmospheric and Space Flight Vehicles. Control Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4864-0_1
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DOI: https://doi.org/10.1007/978-0-8176-4864-0_1
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