Uniform convergence of monotone measure differential inclusions: with application to the control of mechanical systems with unilateral constraints

R.I. Leine; N. Wouw, van de

doi:10.1142/S0218127408021099

Uniform convergence of monotone measure differential inclusions: with application to the control of mechanical systems with unilateral constraints

R.I. Leine, N. Wouw, van de

Research output: Contribution to journal › Article › Academic › peer-review

32 Citations (Scopus)

1 Downloads (Pure)

Abstract

In this paper, we present theorems which give sufficient conditions for the uniform convergence of measure differential inclusions with certain maximal monotonicity properties. The framework of measure differential inclusions allows us to describe systems with state discontinuities. Moreover, we illustrate how these convergence results for measure differential inclusions can be exploited to solve tracking problems for certain classes of nonsmooth mechanical systems with friction and one-way clutches. Illustrative examples of convergent mechanical systems are discussed in detail.

Original language	English
Pages (from-to)	1435-1457
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	18
Issue number	5
DOIs	https://doi.org/10.1142/S0218127408021099
Publication status	Published - 2008

Access to Document

10.1142/S0218127408021099

Fingerprint Dive into the research topics of 'Uniform convergence of monotone measure differential inclusions: with application to the control of mechanical systems with unilateral constraints'. Together they form a unique fingerprint.

Cite this

@article{2e632ab7c9e641f2a756a04c4710edb5,

title = "Uniform convergence of monotone measure differential inclusions: with application to the control of mechanical systems with unilateral constraints",

abstract = "In this paper, we present theorems which give sufficient conditions for the uniform convergence of measure differential inclusions with certain maximal monotonicity properties. The framework of measure differential inclusions allows us to describe systems with state discontinuities. Moreover, we illustrate how these convergence results for measure differential inclusions can be exploited to solve tracking problems for certain classes of nonsmooth mechanical systems with friction and one-way clutches. Illustrative examples of convergent mechanical systems are discussed in detail.",

author = "R.I. Leine and {Wouw, van de}, N.",

year = "2008",

doi = "10.1142/S0218127408021099",

language = "English",

volume = "18",

pages = "1435--1457",

journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",

issn = "0218-1274",

publisher = "World Scientific",

number = "5",

}

Uniform convergence of monotone measure differential inclusions: with application to the control of mechanical systems with unilateral constraints. / Leine, R.I.; Wouw, van de, N.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 18, No. 5, 2008, p. 1435-1457.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Uniform convergence of monotone measure differential inclusions: with application to the control of mechanical systems with unilateral constraints

AU - Leine, R.I.

AU - Wouw, van de, N.

PY - 2008

Y1 - 2008

N2 - In this paper, we present theorems which give sufficient conditions for the uniform convergence of measure differential inclusions with certain maximal monotonicity properties. The framework of measure differential inclusions allows us to describe systems with state discontinuities. Moreover, we illustrate how these convergence results for measure differential inclusions can be exploited to solve tracking problems for certain classes of nonsmooth mechanical systems with friction and one-way clutches. Illustrative examples of convergent mechanical systems are discussed in detail.

AB - In this paper, we present theorems which give sufficient conditions for the uniform convergence of measure differential inclusions with certain maximal monotonicity properties. The framework of measure differential inclusions allows us to describe systems with state discontinuities. Moreover, we illustrate how these convergence results for measure differential inclusions can be exploited to solve tracking problems for certain classes of nonsmooth mechanical systems with friction and one-way clutches. Illustrative examples of convergent mechanical systems are discussed in detail.

U2 - 10.1142/S0218127408021099

DO - 10.1142/S0218127408021099

M3 - Article

VL - 18

SP - 1435

EP - 1457

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

SN - 0218-1274

IS - 5

ER -