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Provides a thorough introduction to the properties of linear, time--invariant models of dynamical systems, as required for further work in feedback control system design, power system design and analysis, communications, signal processing, robotics, and simulation. The state--space model is used throughout, since it is a fundamental conceptual tool, although the background analysis applies to other models. Modelling and stability of general nonlinear systems is introduced, with the detailed analysis concentrating on LTI systems.