Stability and Stabilization of Nonuniform Sampling Systems Using a Matrix Bound of a Matrix Exponential
This paper is concerned with stability and stabilization of networked control systems, where sampling intervals are time-varying. A nonuniform sampling system is modeled as a time-varying discrete time system. With the assumption that the sampling time variation bounds are known, the stability condition is derived in the form of linear matrix inequalities. Compared with previous results, a less conservative stability condition is derived using a matrix bound of a matrix exponential.
Keywordsmatrix exponential sampled-data control networked control systems linear matrix inequalities
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