Abstract
An efficient method for computing invariant sets of mode transitions systems is proposed. The method is based on the convex optimization technique, the linear matrix inequality techniques and an iterative method. Computation of ellipsoidal invariant sets and polyhedral invariant sets is given. An invariant set for mode transitions systems which includes a finite-duration transition is computed by an iterative procedure. Finally, an example is given to validate this method.
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Li, J., Ji, Z., Pei, Hl. (2011). Computation of Virtual Regions for Constrained Hybrid Systems. In: Chen, R. (eds) Intelligent Computing and Information Science. ICICIS 2011. Communications in Computer and Information Science, vol 135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18134-4_45
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DOI: https://doi.org/10.1007/978-3-642-18134-4_45
Publisher Name: Springer, Berlin, Heidelberg
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