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

Dina Shona Laila; D. Nesic

doi:10.1109/TAC.2003.817928

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

Dina Shona Laila, D. Nesic

Research output: Contribution to journal › Article

49 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 language	English
Pages (from-to)	1783-1788
Journal	IEEE Transactions on Automatic Control
Volume	48
Issue number	10
DOIs	https://doi.org/10.1109/TAC.2003.817928
Publication status	Published - 7 Oct 2003

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

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10.1109/TAC.2003.817928

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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.",

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AU - Laila, Dina Shona

AU - Nesic, D.

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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

SN - 0018-9286

VL - 48

SP - 1783

EP - 1788

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 10

ER -

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

Abstract

Bibliographical note

Keywords

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