Upper and lower semicontinuous differential inclusions: A unified approach

Alberto Bressan

doi:10.1201/9780203745625

Upper and lower semicontinuous differential inclusions: A unified approach

Alberto Bressan

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14 Citations (SciVal)

Abstract

This paper is concerned with the differential inclusion: x(t) ε R(t, x(t)), R being a multifunction from R × Rⁿ into Rⁿ with nonempty compact values. The connection between control systems and differential inclusions is well known. If f is a continuous map from R × Rⁿ × R^m into Rⁿ and U is a compact subset of R^m, then the set of trajectories for the system x(t) = f(t, x(t), u(t)), u(t) ε U a.e.

Original language	English (US)
Title of host publication	Nonlinear Controllability and Optimal Control
Publisher	CRC Press
Pages	21-32
Number of pages	12
ISBN (Electronic)	9781351428330
ISBN (Print)	0824782585, 9780824782580
DOIs	https://doi.org/10.1201/9780203745625
State	Published - Jan 1 2017

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1201/9780203745625

Cite this

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abstract = "This paper is concerned with the differential inclusion: x(t) ε R(t, x(t)), R being a multifunction from R × Rn into Rn with nonempty compact values. The connection between control systems and differential inclusions is well known. If f is a continuous map from R × Rn × Rm into Rn and U is a compact subset of Rm, then the set of trajectories for the system x(t) = f(t, x(t), u(t)), u(t) ε U a.e.",

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AB - This paper is concerned with the differential inclusion: x(t) ε R(t, x(t)), R being a multifunction from R × Rn into Rn with nonempty compact values. The connection between control systems and differential inclusions is well known. If f is a continuous map from R × Rn × Rm into Rn and U is a compact subset of Rm, then the set of trajectories for the system x(t) = f(t, x(t), u(t)), u(t) ε U a.e.

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PB - CRC Press

ER -

Upper and lower semicontinuous differential inclusions: A unified approach

Abstract

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