Stability and boundedness of controllable continuous flows

Tumajer, František. "Stability and boundedness of controllable continuous flows." Aplikace matematiky 33.6 (1988): 493-504. <http://eudml.org/doc/15559>.

@article{Tumajer1988,
abstract = {In the paper the concept of a controllable continuous flow in a metric space is introduced as a generalization of a controllable system of differential equations in a Banach space, and various kinds of stability and of boundedness of this flow are defined. Theorems stating necessary and sufficient conditions for particular kinds of stability and boundedness are formulated in terms of Ljapunov functions.},
author = {Tumajer, František},
journal = {Aplikace matematiky},
keywords = {uniform stability of a set with respect to a flow; uniform boundedness of a flow with respect to a set; controllable continuous flow; controllable system of differential equations; uniform stability of a set with respect to a flow; uniform boundedness of a flow with respect to a set; controllable continuous flow; controllable system of differential equations},
language = {eng},
number = {6},
pages = {493-504},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Stability and boundedness of controllable continuous flows},
url = {http://eudml.org/doc/15559},
volume = {33},
year = {1988},
}

TY - JOUR
AU - Tumajer, František
TI - Stability and boundedness of controllable continuous flows
JO - Aplikace matematiky
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 6
SP - 493
EP - 504
AB - In the paper the concept of a controllable continuous flow in a metric space is introduced as a generalization of a controllable system of differential equations in a Banach space, and various kinds of stability and of boundedness of this flow are defined. Theorems stating necessary and sufficient conditions for particular kinds of stability and boundedness are formulated in terms of Ljapunov functions.
LA - eng
KW - uniform stability of a set with respect to a flow; uniform boundedness of a flow with respect to a set; controllable continuous flow; controllable system of differential equations; uniform stability of a set with respect to a flow; uniform boundedness of a flow with respect to a set; controllable continuous flow; controllable system of differential equations
UR - http://eudml.org/doc/15559
ER -