Publication

Prescribing Transient and Asymptotic Behavior to Deterministic Systems with Stochastic Initial Conditions

Dresscher, M. & Jayawardhana, B., 25-May-2020, In : International Journal of Control. 27 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Dresscher, M., & Jayawardhana, B. (2020). Prescribing Transient and Asymptotic Behavior to Deterministic Systems with Stochastic Initial Conditions. International Journal of Control. https://doi.org/10.1080/00207179.2020.1774077

Author

Dresscher, Martijn ; Jayawardhana, Bayu. / Prescribing Transient and Asymptotic Behavior to Deterministic Systems with Stochastic Initial Conditions. In: International Journal of Control. 2020.

Harvard

Dresscher, M & Jayawardhana, B 2020, 'Prescribing Transient and Asymptotic Behavior to Deterministic Systems with Stochastic Initial Conditions', International Journal of Control. https://doi.org/10.1080/00207179.2020.1774077

Standard

Prescribing Transient and Asymptotic Behavior to Deterministic Systems with Stochastic Initial Conditions. / Dresscher, Martijn; Jayawardhana, Bayu.

In: International Journal of Control, 25.05.2020.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Dresscher M, Jayawardhana B. Prescribing Transient and Asymptotic Behavior to Deterministic Systems with Stochastic Initial Conditions. International Journal of Control. 2020 May 25. https://doi.org/10.1080/00207179.2020.1774077


BibTeX

@article{8a60c8166c664cfc95cd3b9e43b8e23e,
title = "Prescribing Transient and Asymptotic Behavior to Deterministic Systems with Stochastic Initial Conditions",
abstract = "We study a containment control problem (CCP) and a shape control problem (SCP) for systems whose initial condition is a random variable with known distribution. The two control problems both require exponential convergence to a desired trajectory, which is complemented by either; i) a required cumulative distribution over a prescribed containment set at a specific transient time for the CCP, or; ii) a maximum distance between an attained and a desired probability density function of the state for the SCP. For the CCP, we obtain solutions for both linear and nonlinear systems by designing the closed-loop such that the initial pdf shrinks or contracts to a desired trajectory. For the SCP, we obtain solutions for linear systems and an admissible desired pdf, by designing the closed-loop such that the evolution of the pdf at the transient time is similar to the target pdf.",
author = "Martijn Dresscher and Bayu Jayawardhana",
year = "2020",
month = may,
day = "25",
doi = "10.1080/00207179.2020.1774077",
language = "English",
journal = "International Journal of Control",
issn = "1366-5820",
publisher = "Taylor & Francis Ltd",

}

RIS

TY - JOUR

T1 - Prescribing Transient and Asymptotic Behavior to Deterministic Systems with Stochastic Initial Conditions

AU - Dresscher, Martijn

AU - Jayawardhana, Bayu

PY - 2020/5/25

Y1 - 2020/5/25

N2 - We study a containment control problem (CCP) and a shape control problem (SCP) for systems whose initial condition is a random variable with known distribution. The two control problems both require exponential convergence to a desired trajectory, which is complemented by either; i) a required cumulative distribution over a prescribed containment set at a specific transient time for the CCP, or; ii) a maximum distance between an attained and a desired probability density function of the state for the SCP. For the CCP, we obtain solutions for both linear and nonlinear systems by designing the closed-loop such that the initial pdf shrinks or contracts to a desired trajectory. For the SCP, we obtain solutions for linear systems and an admissible desired pdf, by designing the closed-loop such that the evolution of the pdf at the transient time is similar to the target pdf.

AB - We study a containment control problem (CCP) and a shape control problem (SCP) for systems whose initial condition is a random variable with known distribution. The two control problems both require exponential convergence to a desired trajectory, which is complemented by either; i) a required cumulative distribution over a prescribed containment set at a specific transient time for the CCP, or; ii) a maximum distance between an attained and a desired probability density function of the state for the SCP. For the CCP, we obtain solutions for both linear and nonlinear systems by designing the closed-loop such that the initial pdf shrinks or contracts to a desired trajectory. For the SCP, we obtain solutions for linear systems and an admissible desired pdf, by designing the closed-loop such that the evolution of the pdf at the transient time is similar to the target pdf.

U2 - 10.1080/00207179.2020.1774077

DO - 10.1080/00207179.2020.1774077

M3 - Article

JO - International Journal of Control

JF - International Journal of Control

SN - 1366-5820

ER -

ID: 125542498