Abstract
In this chapter we consider the decomposition problem of Boolean control networks. Decomposition is also a fundamental problem in control theory. State-space decomposition can significantly simplify a system, making control design much easier and more efficient. This chapter first discusses state-space decomposition of Boolean control networks. The input–output decomposition problem (IODP), also called Morgan’s problem, is one of the most famous open problems in modern control theory (Glumineau and Moog, IEEE Trans. Automat. Contr. 37(7):1067–1072, 1992; Herrera and Latay, IEEE Trans. Automat. Contr. 38(12):1834–1838, 1993; Morgan, Proceedings of the Joint Automatic Control Conference, 1964). The IODP for Boolean control systems is then investigated. This chapter is based on Qi et al. (On decomposition of Boolean networks, 2010).
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References
Glumineau, A., Moog, C.: Nonlinear Morgan’s problem: case of (p+1) inputs and p outputs. IEEE Trans. Automat. Contr. 37(7), 1067–1072 (1992)
Herrera, A., Lafay, J.: New results about Morgan’s problem. IEEE Trans. Automat. Contr. 38(12), 1834–1838 (1993)
Morgan, B.: The synthesis of linear multivariable systems by state variable feedback. In: Proceedings of the Joint Automatic Control Conference, pp. 468–472 (1964)
Qi, H., Feng, G.: On decomposition of Boolean networks (2010, submitted)
Wonham, W.: Linear Multivariable Control: A Geometric Approach, 2nd edn. Springer, Berlin (1979)
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© 2011 Springer-Verlag London Limited
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Cheng, D., Qi, H., Li, Z. (2011). Feedback Decomposition of Boolean Control Networks. In: Analysis and Control of Boolean Networks. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-097-7_13
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DOI: https://doi.org/10.1007/978-0-85729-097-7_13
Publisher Name: Springer, London
Print ISBN: 978-0-85729-096-0
Online ISBN: 978-0-85729-097-7
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