| Analysis and Control of Boolean Networks: A Semi-tensor Product Approach Contributor(s): Cheng, Daizhan (Author), Qi, Hongsheng (Author), Li, Zhiqiang (Author) |
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ISBN: 0857290967 ISBN-13: 9780857290960 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Mathematics | Logic - Science | Life Sciences - Biophysics |
| Dewey: 005.131 |
| LCCN: 2011282818 |
| Series: Communications and Control Engineering (Hardcover) |
| Physical Information: 1.06" H x 6.14" W x 9.21" (1.89 lbs) 472 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Analysis and Control of Boolean Networks presents a systematic new approach to the investigation of Boolean control networks. The fundamental tool in this approach is a novel matrix product called the semi-tensor product (STP). Using the STP, a logical function can be expressed as a conventional discrete-time linear system. In the light of this linear expression, certain major issues concerning Boolean network topology - fixed points, cycles, transient times and basins of attractors - can be easily revealed by a set of formulae. This framework renders the state-space approach to dynamic control systems applicable to Boolean control networks. The bilinear-systemic representation of a Boolean control network makes it possible to investigate basic control problems including controllability, observability, stabilization, disturbance decoupling etc. |