Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used in controller design for a sampled-data system.
Original languageEnglish
Pages (from-to)1783-1788
JournalIEEE Transactions on Automatic Control
Volume48
Issue number10
DOIs
Publication statusPublished - 7 Oct 2003

Fingerprint

System stability
Lyapunov functions
Lyapunov methods
Feedback
Controllers

Bibliographical note

The full text is currently unavailable on the repository.

Keywords

  • Lyapunov method
  • Stability
  • Nonlinear control systems
  • Feedback
  • Robust control
  • Control system analysis
  • Control systems
  • Interconnected systems
  • Sampling methods
  • Digital control
  • robust control
  • nonlinear control systems
  • Lyapunov methods
  • discrete time systems
  • sampled-data system
  • feedback interconnection
  • discrete-time ISS systems
  • input-to-state stability
  • discrete-time systems
  • controller design

Cite this

Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems. / Laila, Dina Shona; Nesic, D.

In: IEEE Transactions on Automatic Control, Vol. 48, No. 10, 07.10.2003, p. 1783-1788.

Research output: Contribution to journalArticle

@article{a97c9e7c518b4929b402c677aa68a101,
title = "Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems",
abstract = "Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used in controller design for a sampled-data system.",
keywords = "Lyapunov method, Stability, Nonlinear control systems, Feedback, Robust control, Control system analysis, Control systems, Interconnected systems, Sampling methods, Digital control, robust control, nonlinear control systems, Lyapunov methods, discrete time systems, sampled-data system, feedback interconnection, discrete-time ISS systems, input-to-state stability, discrete-time systems, controller design",
author = "Laila, {Dina Shona} and D. Nesic",
note = "The full text is currently unavailable on the repository.",
year = "2003",
month = "10",
day = "7",
doi = "10.1109/TAC.2003.817928",
language = "English",
volume = "48",
pages = "1783--1788",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers",
number = "10",

}

TY - JOUR

T1 - Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems

AU - Laila, Dina Shona

AU - Nesic, D.

N1 - The full text is currently unavailable on the repository.

PY - 2003/10/7

Y1 - 2003/10/7

N2 - Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used in controller design for a sampled-data system.

AB - Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used in controller design for a sampled-data system.

KW - Lyapunov method

KW - Stability

KW - Nonlinear control systems

KW - Feedback

KW - Robust control

KW - Control system analysis

KW - Control systems

KW - Interconnected systems

KW - Sampling methods

KW - Digital control

KW - robust control

KW - nonlinear control systems

KW - Lyapunov methods

KW - discrete time systems

KW - sampled-data system

KW - feedback interconnection

KW - discrete-time ISS systems

KW - input-to-state stability

KW - discrete-time systems

KW - controller design

U2 - 10.1109/TAC.2003.817928

DO - 10.1109/TAC.2003.817928

M3 - Article

VL - 48

SP - 1783

EP - 1788

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 10

ER -