On the reachable sets in linear systems

M. Pachter; D. H. Jacobson

doi:10.1007/bf01442545

On the reachable sets in linear systems

Applied Mathematics & Optimization ◽

10.1007/bf01442545 ◽

1979 ◽

Vol 5 (1) ◽

pp. 83-86 ◽

Cited By ~ 6

Author(s):

M. Pachter ◽

D. H. Jacobson

Keyword(s):

Linear Systems ◽

Reachable Sets

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Corrigendum to “On reachable sets for positive linear systems under constrained exogenous inputs” [Automatica 74 (2016) 230–237]

Automatica ◽

10.1016/j.automatica.2017.02.007 ◽

2017 ◽

Vol 82 ◽

pp. 338 ◽

Cited By ~ 2

Author(s):

Baozhu Du ◽

James Lam ◽

Zhan Shu ◽

Yong Chen

Keyword(s):

Linear Systems ◽

Reachable Sets

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Distributed Stochastic Model Predictive Control for dynamically coupled Linear Systems using Probabilistic Reachable Sets

2019 18th European Control Conference (ECC) ◽

10.23919/ecc.2019.8796188 ◽

2019 ◽

Cited By ~ 1

Author(s):

Christoph Mark ◽

Steven Liu

Keyword(s):

Model Predictive Control ◽

Stochastic Model ◽

Linear Systems ◽

Predictive Control ◽

Reachable Sets ◽

Stochastic Model Predictive Control

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Asymptotic estimates for reachable sets of singularly perturbed linear systems

Differential Equations ◽

10.1134/s0012266110120074 ◽

2010 ◽

Vol 46 (12) ◽

pp. 1737-1749

Author(s):

E. V. Goncharova ◽

A. I. Ovseevich

Keyword(s):

Linear Systems ◽

Singularly Perturbed ◽

Reachable Sets ◽

Asymptotic Estimates ◽

Perturbed Linear Systems

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“On the Boundedness of Outer Polyhedral Estimates for Reachable Sets of Linear Systems”

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542508100138 ◽

2008 ◽

Vol 48 (10) ◽

pp. 1915-1916

Author(s):

E. K. Kostousova

Keyword(s):

Linear Systems ◽

Reachable Sets ◽

Polyhedral Estimates

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Improved ellipsoidal bound of reachable sets for time-delayed linear systems with disturbances

Automatica ◽

10.1016/j.automatica.2008.03.015 ◽

2008 ◽

Vol 44 (11) ◽

pp. 2940-2943 ◽

Cited By ~ 80

Author(s):

Jin-Hoon Kim

Keyword(s):

Linear Systems ◽

Reachable Sets

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On reachable sets for positive linear systems under constrained exogenous inputs

Automatica ◽

10.1016/j.automatica.2016.07.048 ◽

2016 ◽

Vol 74 ◽

pp. 230-237 ◽

Cited By ~ 32

Author(s):

Baozhu Du ◽

James Lam ◽

Zhan Shu ◽

Yong Chen

Keyword(s):

Linear Systems ◽

Reachable Sets

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Stochastic Model Predictive Control for Linear Systems Using Probabilistic Reachable Sets

2018 IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2018.8619554 ◽

2018 ◽

Cited By ~ 6

Author(s):

Lukas Hewing ◽

Melanie N. Zeilinger

Keyword(s):

Model Predictive Control ◽

Stochastic Model ◽

Linear Systems ◽

Predictive Control ◽

Reachable Sets ◽

Stochastic Model Predictive Control

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Lyapunov approximation of reachable sets for uncertain linear systems

International Journal of Control ◽

10.1080/0020718508961194 ◽

1985 ◽

Vol 41 (5) ◽

pp. 1235-1243 ◽

Cited By ~ 17

Author(s):

DANNY SUMMERS

Keyword(s):

Linear Systems ◽

Reachable Sets ◽

Uncertain Linear Systems

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Reachable sets to singularly perturbed linear systems

Doklady Mathematics ◽

10.1134/s106456240904036x ◽

2009 ◽

Vol 80 (1) ◽

pp. 595-598 ◽

Cited By ~ 2

Author(s):

E. V. Goncharova ◽

A. I. Ovseevich

Keyword(s):

Linear Systems ◽

Singularly Perturbed ◽

Reachable Sets ◽

Perturbed Linear Systems

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Modeling the reachable sets for positive linear systems using self-regulating adaptive perceptron type neural networks

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301) ◽

10.1109/acc.2002.1025387 ◽

2002 ◽

Author(s):

V.G. Rumchev ◽

R.W. Swiniarski

Keyword(s):

Neural Networks ◽

Linear Systems ◽

Reachable Sets

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