# The choice of the forms of Lyapunov functions for a positive 2D Roesser model

International Journal of Applied Mathematics and Computer Science (2007)

- Volume: 17, Issue: 4, page 471-475
- ISSN: 1641-876X

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topKaczorek, Tadeusz. "The choice of the forms of Lyapunov functions for a positive 2D Roesser model." International Journal of Applied Mathematics and Computer Science 17.4 (2007): 471-475. <http://eudml.org/doc/207852>.

@article{Kaczorek2007,

abstract = {The appropriate choice of the forms of Lyapunov functions for a positive 2D Roesser model is addressed. It is shown that for the positive 2D Roesser model: (i) a linear form of the state vector can be chosen as a Lyapunov function, (ii) there exists a strictly positive diagonal matrix P such that the matrix A^\{T\}PA-P is negative definite. The theoretical deliberations will be illustrated by numerical examples.},

author = {Kaczorek, Tadeusz},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {asymptotic stability; positive 2D Roesser model; Lyapunov function},

language = {eng},

number = {4},

pages = {471-475},

title = {The choice of the forms of Lyapunov functions for a positive 2D Roesser model},

url = {http://eudml.org/doc/207852},

volume = {17},

year = {2007},

}

TY - JOUR

AU - Kaczorek, Tadeusz

TI - The choice of the forms of Lyapunov functions for a positive 2D Roesser model

JO - International Journal of Applied Mathematics and Computer Science

PY - 2007

VL - 17

IS - 4

SP - 471

EP - 475

AB - The appropriate choice of the forms of Lyapunov functions for a positive 2D Roesser model is addressed. It is shown that for the positive 2D Roesser model: (i) a linear form of the state vector can be chosen as a Lyapunov function, (ii) there exists a strictly positive diagonal matrix P such that the matrix A^{T}PA-P is negative definite. The theoretical deliberations will be illustrated by numerical examples.

LA - eng

KW - asymptotic stability; positive 2D Roesser model; Lyapunov function

UR - http://eudml.org/doc/207852

ER -

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## Citations in EuDML Documents

top- Tadeusz Kaczorek, Positivity and stabilization of 2D linear systems
- Tadeusz Kaczorek, Independence of asymptotic stability of positive 2D linear systems with delays of their delays
- Mikołaj Busłowicz, Tadeusz Kaczorek, Simple conditions for practical stability of positive fractional discrete-time linear systems

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