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In this paper, we address the problem of stabilization in continuous timelinear dynamical systems using state feedback when compressive samplingtechniques are used for state measurement and reconstruction. In [5], we hadintroduced the concept of using l1 reconstruction technique, commonly used insparse data reconstruction, for state measurement and estimation in a discretetime linear system. In this work, we extend the previous scenario to analysecontinuous time linear systems. We investigate the effect of switching within aset of sparsifiers, introduced in [5], on the stability of a linear plant incontinuous time settings. Initially, we analyze the problem of stabilization inlow dimensional systems, following which we generalize the results to addressthe problem of stabilization in systems of arbitrary dimensions.

Switching Strategies for Linear Feedback Stabilization with Sparsified State Measurements