In this paper we derive a lower bound on the density of the coarsest quantizer that quadratically stabilizes a two-input linear discrete time system. This result describes how much improvement could be expected in terms of reduced quantization density by using two inputs instead of one to quadratically stabilize the system. A by-product result is that the optimal quantizer is radially logarithmic. This is a generalization of the logarithmic quantizer obtained in previous work.
|Original language||English (US)|
|Title of host publication||Hybrid Systems|
|Subtitle of host publication||Computation and Control - 5th International Workshop, HSCC 2002, Proceedings|
|Editors||Claire J. Tomlin, Mark R. Greenstreet|
|Number of pages||15|
|ISBN (Print)||354043321X, 9783540433217|
|State||Published - 2002|
|Event||5th International Workshop on Hybrid Systems: Computation and Control, HSCC 2002 - Stanford, United States|
Duration: Mar 25 2002 → Mar 27 2002
|Name||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)|
|Other||5th International Workshop on Hybrid Systems: Computation and Control, HSCC 2002|
|Period||3/25/02 → 3/27/02|
Bibliographical notePublisher Copyright:
© Springer-Verlag Berlin Heidelberg 2002.