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In this work we discuss some results on stability analysis for nonlinear systems with time-delays. A central theme of the work is to treat state variables with time-delays as disturbances and uncertainties. The advantage of such an approach is that by exploring the robust stability properties of a system with disturbances, one may obtain various properties for a system with time-delays.
This study proposes a novel backstepping technique for non-linear cascade systems whose driven subsystems have a feedforward structure and include higher order terms. A small control is first assigned to stabilise the driven subsystem, and a simple backstepping procedure is then followed. When dealing with the driven subsystem, we adopt an approach of using a small control to attenuate the higher...
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