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This paper considers exponential stability and quadratic performance of discrete-time piecewise affine systems. We propose a procedure to obtain an increasing sequence of state-space partitions, and show that, whenever the procedure terminates after a finite number of steps, a nonconservative stability and performance analysis is achieved by solving a finite number of linear matrix inequalities. The...
A complete stability characterization is given for a special class of discrete-time piecewise linear systems. The characterization is based on solving and then combining two separate subproblems: one is to obtain stabilizing switching sequences, and the other is to generate switching structure- preserving state-space partitions. Checking the stability of a finite number of periodic switching sequences...
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