Abstract
Input-to-state stability (ISS) has been shown to be a good way to describe the robust stability of nonlinear systems with exogenous disturbances. In this chapter, input-to-state stability of Lur’e singular systems with disturbances is investigated. The notion of input-to-state stability for nonlinear singular systems is defined based on the concept of ISS for standard state-space systems and the characteristics of singular systems. An LMI-based sufficient condition for ISS of Lur’e singular systems is derived by the classical ISS theory and a state feedback controller design method is proposed, such that the closed-loop system is ISS. Furthermore, ISS of Lur’e singular systems whose linear parts of the systems are allowed to be unstable is considered and a stability criterion is proposed.
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© 2013 Springer-Verlag Berlin Heidelberg
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Yang, C., Zhang, Q., Zhou, L. (2013). Input-to-State Stability Analysis and Design for Lur’e Singular Systems. In: Stability Analysis and Design for Nonlinear Singular Systems. Lecture Notes in Control and Information Sciences, vol 435. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32144-3_4
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DOI: https://doi.org/10.1007/978-3-642-32144-3_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32143-6
Online ISBN: 978-3-642-32144-3
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