Object
Title: Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems
Contributor:
Group publication title:
Abstract:
We 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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 17, number 4 (2007) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2007)
Last modified:
Apr 3, 2024
In our library since:
Apr 3, 2024
Number of object content hits:
9
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/88422
Show description in RDF format:
Show description in OAI-PMH format:
-
International Journal of Applied Mathematics and Computer Science (AMCS)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 1 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 2 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 3 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 4 (2007)
- An output controllability problem for semilinear distributed hyperbolic systems
- Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems
- Optimal approximation, simulation and analog realization of the fundamental fractional order transfer function
- On the computation of the GCD of 2-D polynomials
- The choice of the forms of Lyapunov functions for a positive 2D Roesser model
- Redundancy relations for fault diagnosis in nonlinear uncertain systems
- Reliability modeling of fault tolerant control systems
- Estimation of the output deviation norm for uncertain, discrete-time nonlinear systems in a state dependent form
- Object library of algorithms for dynamic optimization problems: Benchmarking SQP and nonlinear interior point methods
- Real-valued GCS classifier system
- Evolving co-adapted subcomponents in assembler encoding
- Reduction in the number of PAL macrocells in the circuit of a Moore FSM
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 1 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
-
International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Edition name | Date |
|---|---|
| Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems | Apr 3, 2024 |
