We deal with the problem of small time local attainability (STLA) for nonlinear finite-dimensional time-continuous control systems. More precisely, given a nonlinear system x˙ (t) = f(t, x(t), u(t)), u(t) ∈ U, possibly subjected to state constraints x(t) ∈ Ω and a closed set S, our aim is to provide sufficient conditions to steer to S every point of a suitable neighborhood of S along admissible trajectories of the system, respecting the constraints, and giving also an upper estimate of the minimum time needed for each point near S to reach S.

Sufficient Conditions for Small Time Local Attainability for a Class of Control Systems

MARIGONDA, ANTONIO;
2015

Abstract

We deal with the problem of small time local attainability (STLA) for nonlinear finite-dimensional time-continuous control systems. More precisely, given a nonlinear system x˙ (t) = f(t, x(t), u(t)), u(t) ∈ U, possibly subjected to state constraints x(t) ∈ Ω and a closed set S, our aim is to provide sufficient conditions to steer to S every point of a suitable neighborhood of S along admissible trajectories of the system, respecting the constraints, and giving also an upper estimate of the minimum time needed for each point near S to reach S.
978-3-319-26519-3
Geometric control theory, Smalltime local attainability, State constraints
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/933337
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