Common quadratic lyapunov-like function with associated switching regions for two unstable second-order LTI systems

B. Hu; G. Zhai; A. N. Michel

doi:10.1109/CDC.2000.912052

Common quadratic lyapunov-like function with associated switching regions for two unstable second-order LTI systems

B. Hu, G. Zhai, A. N. Michel

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In the present paper we utilize Lyapunov-like functions in the qualitative analysis of switched systems. Specifically, for a class of second-order switched systems consisting of two unstable subsystems, we explore in detail some necessary and sufficient conditions for the existence of common quadratic Lyapunov-like functions. We find that the existence of quadratic Lyapunov-like functions is closely related to the recent work on conic switching laws.

Original language	English
Pages (from-to)	1391-1396
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2
DOIs	https://doi.org/10.1109/CDC.2000.912052
Publication status	Published - 2000 Dec
Externally published	Yes

Keywords

Conic switching laws
Quadratic Lyapunov-like functions
Second-order switched systems
Stabilization

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2000.912052

Cite this

@article{8a69f6bb3e064b579b2b01e6b7e25525,

title = "Common quadratic lyapunov-like function with associated switching regions for two unstable second-order LTI systems",

abstract = "In the present paper we utilize Lyapunov-like functions in the qualitative analysis of switched systems. Specifically, for a class of second-order switched systems consisting of two unstable subsystems, we explore in detail some necessary and sufficient conditions for the existence of common quadratic Lyapunov-like functions. We find that the existence of quadratic Lyapunov-like functions is closely related to the recent work on conic switching laws.",

keywords = "Conic switching laws, Quadratic Lyapunov-like functions, Second-order switched systems, Stabilization",

author = "B. Hu and G. Zhai and Michel, {A. N.}",

year = "2000",

month = dec,

doi = "10.1109/CDC.2000.912052",

language = "English",

volume = "2",

pages = "1391--1396",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - Common quadratic lyapunov-like function with associated switching regions for two unstable second-order LTI systems

AU - Hu, B.

AU - Zhai, G.

AU - Michel, A. N.

PY - 2000/12

Y1 - 2000/12

N2 - In the present paper we utilize Lyapunov-like functions in the qualitative analysis of switched systems. Specifically, for a class of second-order switched systems consisting of two unstable subsystems, we explore in detail some necessary and sufficient conditions for the existence of common quadratic Lyapunov-like functions. We find that the existence of quadratic Lyapunov-like functions is closely related to the recent work on conic switching laws.

AB - In the present paper we utilize Lyapunov-like functions in the qualitative analysis of switched systems. Specifically, for a class of second-order switched systems consisting of two unstable subsystems, we explore in detail some necessary and sufficient conditions for the existence of common quadratic Lyapunov-like functions. We find that the existence of quadratic Lyapunov-like functions is closely related to the recent work on conic switching laws.

KW - Conic switching laws

KW - Quadratic Lyapunov-like functions

KW - Second-order switched systems

KW - Stabilization

UR - http://www.scopus.com/inward/record.url?scp=0034439324&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034439324&partnerID=8YFLogxK

U2 - 10.1109/CDC.2000.912052

DO - 10.1109/CDC.2000.912052

M3 - Article

AN - SCOPUS:0034439324

SN - 0191-2216

VL - 2

SP - 1391

EP - 1396

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

Common quadratic lyapunov-like function with associated switching regions for two unstable second-order LTI systems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this