scholarly journals Homogeneous Rational Lyapunov Functions for Performance Analysis of Switched Systems With Arbitrary Switching and Dwell Time Constraints

2017 ◽  
Vol 62 (10) ◽  
pp. 5124-5137 ◽  
Author(s):  
Graziano Chesi ◽  
Patrizio Colaneri
Keyword(s):  
Performance Analysis ◽  
Switched Systems ◽  
Lyapunov Functions ◽  
Dwell Time ◽  
Time Constraints ◽  
Arbitrary Switching

Stability Analysis for a Class of Linear Switched Positive Systems

2012 ◽  
Vol 562-564 ◽  
pp. 2084-2087
Author(s):  
Hui Ding ◽  
Xu Yang Lou
Keyword(s):  
Lyapunov Functions ◽  
Dwell Time ◽  
Positive Systems ◽  
Time Analysis ◽  
Arbitrary Switching ◽  
The Family ◽  
The Common ◽  
The Stability ◽  
Switched Positive Systems ◽  
Explicit Relation

This paper addresses stability properties of linear switched positive systems composed of continuous-time subsystems and discrete-time subsystems. Based on the common linear copositive Lyapunov functions, stability of the positive systems is discussed under arbitrary switching. Moreover, a sufficient condition on the minimum dwell time that guarantees the stability of linear switched positive systems. The dwell time analysis interprets the stability of linear switched positive systems through the distance between the eigenvector sets. Thus, an explicit relation in view of stability is obtained between the family of the involved subsystems and the set of admissible switching signals.

PIECEWISE LYAPUNOV FUNCTIONS FOR SWITCHED SYSTEMS WITH AVERAGE DWELL TIME

2008 ◽  
Vol 2 (3) ◽  
pp. 192-197 ◽  
Author(s):  
Guisheng Zhai ◽  
Bo Hu ◽  
Kazunori Yasuda ◽  
Anthony N. Michel
Keyword(s):  
Switched Systems ◽  
Lyapunov Functions ◽  
Dwell Time ◽  
Average Dwell Time

scholarly journals ISS and integral-ISS of switched systems with nonlinear supply functions

2021 ◽  
Author(s):  
Shenyu Liu ◽  
Aneel Tanwani ◽  
Daniel Liberzon
Keyword(s):  
Switched Systems ◽  
Lyapunov Functions ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Switched Nonlinear Systems ◽  
Activation Time ◽  
Unstable Subsystems ◽  
Supply Functions ◽  
Dissipation Inequalities ◽  
Integral Version

AbstractThe problem of input-to-state stability (ISS) and its integral version (iISS) are considered for switched nonlinear systems with inputs, resets and possibly unstable subsystems. For the dissipation inequalities associated with the Lyapunov function of each subsystem, it is assumed that the supply functions, which characterize the decay rate and ISS/iISS gains of the subsystems, are nonlinear. The change in the value of Lyapunov functions at switching instants is described by a sum of growth and gain functions, which are also nonlinear. Using the notion of average dwell-time (ADT) to limit the number of switching instants on an interval, and the notion of average activation time (AAT) to limit the activation time for unstable systems, a formula relating ADT and AAT is derived to guarantee ISS/iISS of the switched system. Case studies of switched systems with saturating dynamics and switched bilinear systems are included for illustration of the results.

H∞ Filtering for two-dimensional discrete switched systems in the second Fornasini and Marchesini model

2020 ◽  
Vol 42 (8) ◽  
pp. 1559-1568
Author(s):  
Khalid Badie ◽  
Mohammed Alfidi ◽  
Zakaria Chalh
Keyword(s):  
Switched Systems ◽  
Lyapunov Functions ◽  
Filter Design ◽  
Linear Matrix ◽  
Two Dimensional ◽  
Reduced Order ◽  
Arbitrary Switching ◽  
Discrete Switched Systems ◽  
Error System ◽  
Filtering Problem

This paper is concerned with the H∞ filtering problem for two-dimensional (2-D) discrete switched systems described by the second Fornasini and Marchesini (FM) model. The main purpose is to design a switched filter such that the resulting filtering error system under the arbitrary switching signal is asymptotically stable with a guaranteed H∞ performance level. By using the switched Lyapunov functions, a new sufficient condition is obtained to guarantee the asymptotic stability with a H∞ performance index for the filtering error system. Based on this condition, the full- and reduced-order H∞ filter design conditions are derived and formulated in terms of linear matrix inequalities (LMIs). Two illustrative examples are utilized to show the effectiveness and less conservativeness of the proposed method.

Stability Analysis Switched Systems

2013 ◽  
Vol 389 ◽  
pp. 685-691 ◽  
Author(s):  
Fu Jian Zhong ◽  
Yong Chi Zhao
Keyword(s):  
Stability Analysis ◽  
Switched Systems ◽  
Stability Problem ◽  
Dwell Time ◽  
Convex Combination ◽  
Time Switching ◽  
Arbitrary Switching ◽  
Stable Subsystem ◽  
The Stability ◽  
Stable Convex

In this note, we have derived stability for arbitrary switching about absolutely stable subsystem and the stability problem has derived stability for arbitrary switching above all. In the next place we analyze detailed stability for the dwell time switching. In the end, we discuss that the switched system exist stable convex combination switching. At last, we give several numerical results are given to illustrate our derived results.

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