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Multi-level saturation feedbacks induce nonlinear disturbance-to-state
stability for nonlinear systems in feedforward form.
This class of systems includes linear systems with actuator
constraints.
A direct construction of a stabilizing hybrid feedback that is robust to
general measurement error is given for a general nonlinear control system
that is asymptotically controllable to a compact set.
We consider differential inclusions where
a positive semidefinite function of the solutions satisfies a
class- estimate
in terms of time and a second positive semidefinite function of the
initial condition.
We show that a smooth converse Lyapunov function, , one whose
derivative along solutions can be
used to establish the class- estimate, exists if and
only if the class- estimate
is robust, , it holds for a larger, perturbed differential
inclusion.
It remains an open question whether all class-...
Several recent results in the area of robust asymptotic stability of hybrid
systems show that the concept of a generalized solution to a hybrid system
is suitable for the analysis and design of hybrid control systems.
In this paper, we show that such generalized solutions are exactly the
solutions that arise when measurement noise in the system is taken into account.
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