Abstract
This chapter deals with the solution bounds for time-delay systems via delay-dependent Lyapunov-Krasovskii methods. Solution bounds are widely used for systems with input saturation caused by actuator saturation or by the quantizers with saturation. We show that an additional bound for solutions is needed for the first time-interval of the delay length. This first time-interval does not influence on the stability and the exponential decay rate analysis. The analysis of the first time-interval is important for nonlinear systems e.g. for finding the domain of attraction . Regional stabilization of a linear (probably, uncertain) system with unknown and bounded input delay under actuator saturation is revisited.
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Acknowledgments
This work was supported by Israel Science Foundation (grant No 754/10).
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Fridman, E., Liu, K. (2016). Regional Stabilization of Systems with Input Delay and Actuator Saturation Revisited. In: Witrant, E., Fridman, E., Sename, O., Dugard, L. (eds) Recent Results on Time-Delay Systems. Advances in Delays and Dynamics, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-26369-4_13
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DOI: https://doi.org/10.1007/978-3-319-26369-4_13
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