Stability and Control of Linear Systems pp 21-42 | Cite as
Unforced Linear Systems
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Abstract
This chapter is devoted to the mathematical problem of representing the solutions of a homogeneous system of linear differential equations by means of suitable explicit formulæ. This corresponds to the study of the qualitative behavior of a system when the evolution depends only on the internal forces and the external inputs are switched off. It is actually the first step in the investigation of the properties of a system.
Keywords
Matrix Exponential Principal Fundamental Matrix Nonzero Imaginary Part Time-invariant Differential Systems Jordan Form
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