Publication

Impulse Controllability: From Descriptor Systems to Higher Order DAEs

Kalpana Kalaimani, R., Praagman, C. & Belur, M. N., 2016, In : IEEE Transactions on Automatic Control. 61, 9, p. 2463-2472 10 p., 16253327.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Kalpana Kalaimani, R., Praagman, C., & Belur, M. N. (2016). Impulse Controllability: From Descriptor Systems to Higher Order DAEs. IEEE Transactions on Automatic Control, 61(9), 2463-2472. [16253327]. https://doi.org/10.1109/TAC.2015.2497468

Author

Kalpana Kalaimani, Rachel ; Praagman, Cornelis ; Belur, Madhu N. / Impulse Controllability : From Descriptor Systems to Higher Order DAEs. In: IEEE Transactions on Automatic Control. 2016 ; Vol. 61, No. 9. pp. 2463-2472.

Harvard

Kalpana Kalaimani, R, Praagman, C & Belur, MN 2016, 'Impulse Controllability: From Descriptor Systems to Higher Order DAEs', IEEE Transactions on Automatic Control, vol. 61, no. 9, 16253327, pp. 2463-2472. https://doi.org/10.1109/TAC.2015.2497468

Standard

Impulse Controllability : From Descriptor Systems to Higher Order DAEs. / Kalpana Kalaimani, Rachel; Praagman, Cornelis; Belur, Madhu N.

In: IEEE Transactions on Automatic Control, Vol. 61, No. 9, 16253327, 2016, p. 2463-2472.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Kalpana Kalaimani R, Praagman C, Belur MN. Impulse Controllability: From Descriptor Systems to Higher Order DAEs. IEEE Transactions on Automatic Control. 2016;61(9):2463-2472. 16253327. https://doi.org/10.1109/TAC.2015.2497468


BibTeX

@article{ed28e1c618504dc1a07867495990379a,
title = "Impulse Controllability: From Descriptor Systems to Higher Order DAEs",
abstract = "Impulsive solutions in LTI dynamical systems have received ample attention, but primarily for descriptor systems, i.e., first order Differential Algebraic Equations (DAEs). This paper focuses on the impulsive behavior of higher order dynamical systems and analyzes the causes of impulses in the context of interconnection of one or more dynamical systems. We extend the definition of impulse-controllability to the higher order case. Amongst the various nonequivalent notions of impulse-controllability for first order systems available in the literature, which mostly rely on the input/output structure of the system, our definition, based on a so-called state-map obtained directly from the system equations, generalizes many key first order results to the higher order case. In particular, we show that our higher-order-extension of the definition of impulse controllability generalizes the equivalence between impulse controllability and the ability to eliminate impulses in the closed loop by interconnecting with a suitable controller. This requires an extension of the definition of regularity of interconnection from behaviors involving only smooth trajectories to behaviors on the positive half line involving impulsive-smooth trajectories.",
keywords = "Control theory, Zeros at infinity, singular systems, impulsive trajectories",
author = "{Kalpana Kalaimani}, Rachel and Cornelis Praagman and Belur, {Madhu N.}",
year = "2016",
doi = "10.1109/TAC.2015.2497468",
language = "English",
volume = "61",
pages = "2463--2472",
journal = "IEEE-Transactions on Automatic Control",
issn = "0018-9286",
publisher = "IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC",
number = "9",

}

RIS

TY - JOUR

T1 - Impulse Controllability

T2 - From Descriptor Systems to Higher Order DAEs

AU - Kalpana Kalaimani, Rachel

AU - Praagman, Cornelis

AU - Belur, Madhu N.

PY - 2016

Y1 - 2016

N2 - Impulsive solutions in LTI dynamical systems have received ample attention, but primarily for descriptor systems, i.e., first order Differential Algebraic Equations (DAEs). This paper focuses on the impulsive behavior of higher order dynamical systems and analyzes the causes of impulses in the context of interconnection of one or more dynamical systems. We extend the definition of impulse-controllability to the higher order case. Amongst the various nonequivalent notions of impulse-controllability for first order systems available in the literature, which mostly rely on the input/output structure of the system, our definition, based on a so-called state-map obtained directly from the system equations, generalizes many key first order results to the higher order case. In particular, we show that our higher-order-extension of the definition of impulse controllability generalizes the equivalence between impulse controllability and the ability to eliminate impulses in the closed loop by interconnecting with a suitable controller. This requires an extension of the definition of regularity of interconnection from behaviors involving only smooth trajectories to behaviors on the positive half line involving impulsive-smooth trajectories.

AB - Impulsive solutions in LTI dynamical systems have received ample attention, but primarily for descriptor systems, i.e., first order Differential Algebraic Equations (DAEs). This paper focuses on the impulsive behavior of higher order dynamical systems and analyzes the causes of impulses in the context of interconnection of one or more dynamical systems. We extend the definition of impulse-controllability to the higher order case. Amongst the various nonequivalent notions of impulse-controllability for first order systems available in the literature, which mostly rely on the input/output structure of the system, our definition, based on a so-called state-map obtained directly from the system equations, generalizes many key first order results to the higher order case. In particular, we show that our higher-order-extension of the definition of impulse controllability generalizes the equivalence between impulse controllability and the ability to eliminate impulses in the closed loop by interconnecting with a suitable controller. This requires an extension of the definition of regularity of interconnection from behaviors involving only smooth trajectories to behaviors on the positive half line involving impulsive-smooth trajectories.

KW - Control theory, Zeros at infinity, singular systems, impulsive trajectories

U2 - 10.1109/TAC.2015.2497468

DO - 10.1109/TAC.2015.2497468

M3 - Article

VL - 61

SP - 2463

EP - 2472

JO - IEEE-Transactions on Automatic Control

JF - IEEE-Transactions on Automatic Control

SN - 0018-9286

IS - 9

M1 - 16253327

ER -

ID: 35412752