Abstract
In this chapter we consider the optimal control of logical control networks. First, we formulate the optimal control problem and show that an optimal trajectory could converge to a cycle in the input-state space. The optimal control is then revealed, based on the topological structure of control networks. Finally, we introduce higher-order logical control networks. For such networks, the updated values of the state variables depend on the previous finite number of historic states and controls. The optimal control problem for such systems is them investigated by converting them to the first-order case. This chapter is based on Zhao et al. (IEEE Trans. Automat. Contr., 2010).
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Zhao, Y., Li, Z., Cheng, D.: Optimal control of logical control networks. IEEE Trans. Automat. Contr. (2010, accepted)
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© 2011 Springer-Verlag London Limited
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Cheng, D., Qi, H., Li, Z. (2011). Optimal Control. In: Analysis and Control of Boolean Networks. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-097-7_15
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DOI: https://doi.org/10.1007/978-0-85729-097-7_15
Publisher Name: Springer, London
Print ISBN: 978-0-85729-096-0
Online ISBN: 978-0-85729-097-7
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