6.7Systems with Discontinuities
Mathematical models of dynamic systems sometimes exhibit discontinuities. Internal and external forces in mechanical systems and energy sources in electrical and thermal systems can change instantaneously as a result of infinitesimal displacements in the state of these systems. Distinct regions exist in the state space where the system model is represented by different sets of algebraic and differential equations. The situation is illustrated in Figure 6.52 for the case of a discontinuous second-order system with state variables x1 ≥ 0, x2 ≥ 0 and 3 distinct regions S1, S2, and S3.
Figure 6.52 Discontinuous system ...
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