CORE
🇺🇦
make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
Strong stability of discrete-time systems
Authors
G. Halikias Dritsas, L. Pantelous, A. Tsoulkas, V.
Publication date
1 January 2012
Publisher
Abstract
The paper introduces a new notion of stability for internal (state-space) autonomous system descriptions in discrete-time, referred to as strong stability which extends a parallel notion introduced in the continuous-time case. This is a stronger notion of stability compared to alternative definitions (asymptotic, Lyapunov), which prohibits systems described by natural coordinates to have overshooting responses for arbitrary initial conditions in state-space. Three finer notions of strong stability are introduced and necessary and sufficient conditions are established for each one of them. The class of discrete-time systems for which strong and asymptotic stability coincide is characterized and links between the skewness of the eigen-frame and the violation of strong stability property are obtained. Connections between the notions of strong stability in the continuous and discrete-domains are briefly discussed. Finally strong stabilization problems under state and output feedback are studied. The results of the paper are illustrated with a numerical example. © 2011 Elsevier Inc. All rights reserved
Similar works
Full text
Available Versions
Pergamos : Unified Institutional Repository / Digital Library Platform of the National and Kapodistrian University of Athens
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:lib.uoa.gr:uoadl:3064539
Last time updated on 10/02/2023