Bounds on solutions of discrete singular systems

Vladimir B. Bajic; Mirko M. Milic; Jovanka S. Zivkovic

Bounds on solutions of discrete singular systems

Vladimir B. Bajic^*, Mirko M. Milic, Jovanka S. Zivkovic

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

The bounds on solutions of discrete singular time-varying and nonlinear systems are investigated by Lyapunov's direct method. From these results the sufficient conditions for the set invariance, set attractivity, set reachability, boundedness, bounded-input-output (BIBO) stability, and asymptotic stability of system response are derived. It is shown that under certain conditions, it is possible to determine the behavior of all components of the phase vector x_k.

Original language	English (US)
Pages (from-to)	1482-1484
Number of pages	3
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	2
State	Published - 1990
Externally published	Yes
Event	1990 IEEE International Symposium on Circuits and Systems Part 3 (of 4) - New Orleans, LA, USA Duration: May 1 1990 → May 3 1990

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

@article{a1304b356f724999985ed4ef20245083,

title = "Bounds on solutions of discrete singular systems",

abstract = "The bounds on solutions of discrete singular time-varying and nonlinear systems are investigated by Lyapunov's direct method. From these results the sufficient conditions for the set invariance, set attractivity, set reachability, boundedness, bounded-input-output (BIBO) stability, and asymptotic stability of system response are derived. It is shown that under certain conditions, it is possible to determine the behavior of all components of the phase vector xk.",

author = "Bajic, {Vladimir B.} and Milic, {Mirko M.} and Zivkovic, {Jovanka S.}",

year = "1990",

language = "English (US)",

volume = "2",

pages = "1482--1484",

journal = "Proceedings - IEEE International Symposium on Circuits and Systems",

issn = "0271-4310",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "1990 IEEE International Symposium on Circuits and Systems Part 3 (of 4) ; Conference date: 01-05-1990 Through 03-05-1990",

}

TY - JOUR

T1 - Bounds on solutions of discrete singular systems

AU - Bajic, Vladimir B.

AU - Milic, Mirko M.

AU - Zivkovic, Jovanka S.

PY - 1990

Y1 - 1990

N2 - The bounds on solutions of discrete singular time-varying and nonlinear systems are investigated by Lyapunov's direct method. From these results the sufficient conditions for the set invariance, set attractivity, set reachability, boundedness, bounded-input-output (BIBO) stability, and asymptotic stability of system response are derived. It is shown that under certain conditions, it is possible to determine the behavior of all components of the phase vector xk.

AB - The bounds on solutions of discrete singular time-varying and nonlinear systems are investigated by Lyapunov's direct method. From these results the sufficient conditions for the set invariance, set attractivity, set reachability, boundedness, bounded-input-output (BIBO) stability, and asymptotic stability of system response are derived. It is shown that under certain conditions, it is possible to determine the behavior of all components of the phase vector xk.

UR - http://www.scopus.com/inward/record.url?scp=0025622206&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0025622206

SN - 0271-4310

VL - 2

SP - 1482

EP - 1484

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

T2 - 1990 IEEE International Symposium on Circuits and Systems Part 3 (of 4)

Y2 - 1 May 1990 through 3 May 1990

ER -

Bounds on solutions of discrete singular systems

Abstract

ASJC Scopus subject areas

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