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Asymptotic Model Matching for Hybrid Linear Systems with State Jumps

We consider the problem of synthesizing a static or dynamic stabilizing compensator which forces the output of a given plant to match asymptotically that of a given model in the context of hybrid linear systems whose state evolution presents discontinuities. Solutions are characterized from a structural point of view by geometric notions. A necessary and sufficient solvability condition, that can be directly checked by an algorithmic procedure, is given both for the case where the state of the plant is accessible for measurement and for the case where it is not. A viable synthesis procedure is presented and a simple example is given.