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A procedure for the stability analysis of discrete-time piecewise affine systems is proposed, where a sequence of finite-state symbolic models is constructed such that each of these symbolic models simulates the given piecewise affine system. For a fairly large class of piecewise affine systems, the proposed procedure does not suffer from inherent conservatism, and thus the sequence of symbolic models...
A computational method for stability analysis of discrete-time piecewise linear systems is presented. The method is based on combining the solutions to two separate problems: one is to obtain stabilizing switching sequences between linear dynamics, and the other is to obtain an increasing sequence of state-space partitions. Examples show that there are cases where the presented method is very useful.
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