H-infinity performance analysis for switched system with continuous-time and discrete-time subsystems

2009 ◽  
Author(s):  
Changzheng Cui ◽  
Changlin Li ◽  
Fei Long
Keyword(s):  
Performance Analysis ◽  
Discrete Time ◽  
Continuous Time ◽  
Switched System ◽  
H Infinity

scholarly journals Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control

2009 ◽  
Vol 2009 ◽  
pp. 1-28 ◽  
Author(s):  
M. De la Sen ◽  
A. Ibeas
Keyword(s):  
Discrete Time ◽  
Continuous Time ◽  
Linear Time ◽  
Sampling Period ◽  
Switched System ◽  
Time Interval ◽  
Stabilizing Controller ◽  
Switching Law ◽  
Discrete Dynamic System ◽  
Time Control

This paper investigates the stability properties of a class of switched systems possessing several linear time-invariant parameterizations (or configurations) which are governed by a switching law. It is assumed that the parameterizations are stabilized individually via an appropriate linear state or output feedback stabilizing controller whose existence is first discussed. A main novelty with respect to previous research is that the various individual parameterizations might be continuous-time, discrete-time, or mixed so that the whole switched system is a hybrid continuous/discrete dynamic system. The switching rule governs the choice of the parameterization which is active at each time interval in the switched system. Global asymptotic stability of the switched system is guaranteed for the case when a common Lyapunov function exists for all the individual parameterizations and the sampling period of the eventual discretized parameterizations taking part of the switched system is small enough. Some extensions are also investigated for controlled systems under decentralized or mixed centralized/decentralized control laws which stabilize each individual active parameterization.

scholarly journals Extended Lie Algebraic Stability Analysis for Switched Systems with Continuous-Time and Discrete-Time Subsystems

2007 ◽  
Vol 17 (4) ◽  
pp. 447-454 ◽  
Author(s):  
Guisheng Zhai ◽  
Xuping Xu ◽  
Hai Lin ◽  
Derong Liu
Keyword(s):  
Stability Analysis ◽  
Lie Algebra ◽  
Discrete Time ◽  
Continuous Time ◽  
Switched Systems ◽  
Switched System ◽  
Quadratic Lyapunov Function ◽  
Algebraic Stability ◽  
Arbitrary Switching ◽  
Exponentially Stable

Extended Lie Algebraic Stability Analysis for Switched Systems with Continuous-Time and Discrete-Time SubsystemsWe analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. When not all subsystems are stable and the same Lie algebra is solvable, we show that there is a common quadratic Lyapunov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme. Two numerical examples are provided to demonstrate the result.

Design of Programmable Wideband Low Pass Filter with Continuous-Time/Discrete-Time Hybrid Architecture

2017 ◽  
Vol E100.C (10) ◽  
pp. 858-865 ◽  
Author(s):  
Yohei MORISHITA ◽  
Koichi MIZUNO ◽  
Junji SATO ◽  
Koji TAKINAMI ◽  
Kazuaki TAKAHASHI
Keyword(s):  
Discrete Time ◽  
Continuous Time ◽  
Hybrid Architecture ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Low Pass

scholarly journals Time to Intervene: A Continuous-Time Approach to Network Analysis and Centrality

Psychometrika ◽  
2021 ◽  
Author(s):  
Oisín Ryan ◽  
Ellen L. Hamaker
Keyword(s):  
Network Analysis ◽  
Discrete Time ◽  
Continuous Time ◽  
Centrality Measures ◽  
Time Interval ◽  
Direct Effects ◽  
Network Approach ◽  
Var Models ◽  
Auto Regressive ◽  
Conceptual Shift

AbstractNetwork analysis of ESM data has become popular in clinical psychology. In this approach, discrete-time (DT) vector auto-regressive (VAR) models define the network structure with centrality measures used to identify intervention targets. However, VAR models suffer from time-interval dependency. Continuous-time (CT) models have been suggested as an alternative but require a conceptual shift, implying that DT-VAR parameters reflect total rather than direct effects. In this paper, we propose and illustrate a CT network approach using CT-VAR models. We define a new network representation and develop centrality measures which inform intervention targeting. This methodology is illustrated with an ESM dataset.

Sign in / Sign up

Export Citation Format

Share Document