DSpace Collection:
http://hdl.handle.net/2117/3232
Wed, 06 May 2015 00:25:50 GMT2015-05-06T00:25:50Zwebmaster.bupc@upc.eduUniversitat Politècnica de Catalunya. Servei de Biblioteques i DocumentaciónoConvolutional codes under control theory point of view. Analysis of output-observability
http://hdl.handle.net/2117/18256
Title: Convolutional codes under control theory point of view. Analysis of output-observability
Authors: García Planas, María Isabel; Souidi, El Mamoun; Um, Laurence E.
Abstract: In this work we make a detailed look at the algebraic structure of convolutional codes using techniques
of linear systems theory. The connection between these concepts help to better understand the properties of convo-
lutional codes, in particular the concepts of controllability and observability of linear systems can be translated into
the context of convolutional codes relating these properties with the noncatastrophicity of the codes. We examine
the output-observability property and we give conditions for this property.Wed, 13 Mar 2013 12:48:29 GMThttp://hdl.handle.net/2117/182562013-03-13T12:48:29ZGarcía Planas, María Isabel; Souidi, El Mamoun; Um, Laurence E.noIn this work we make a detailed look at the algebraic structure of convolutional codes using techniques
of linear systems theory. The connection between these concepts help to better understand the properties of convo-
lutional codes, in particular the concepts of controllability and observability of linear systems can be translated into
the context of convolutional codes relating these properties with the noncatastrophicity of the codes. We examine
the output-observability property and we give conditions for this property.Factorization of the transfer matrix of a singular linear systems
http://hdl.handle.net/2117/18162
Title: Factorization of the transfer matrix of a singular linear systems
Authors: García Planas, María Isabel; López Cabeceira, M. Montserrat
Abstract: Given a linear dynamic time invariant represented by
x
+
(
t
) =
Ax
(
t
)
Bu
(
t
)
,
y
(
t
) =
Cx
(
t
)
, we analyze con-
ditions for obtention of a coprime factorization of trans-
fer matrices of singular linear systems defined over
commutative rings
R
with element unit. The problem
presented is related to the existence of solutions of a
matrix equation
XE
°
NXA
=
Z
.Mon, 11 Mar 2013 08:34:20 GMThttp://hdl.handle.net/2117/181622013-03-11T08:34:20ZGarcía Planas, María Isabel; López Cabeceira, M. MontserratnoGiven a linear dynamic time invariant represented by
x
+
(
t
) =
Ax
(
t
)
Bu
(
t
)
,
y
(
t
) =
Cx
(
t
)
, we analyze con-
ditions for obtention of a coprime factorization of trans-
fer matrices of singular linear systems defined over
commutative rings
R
with element unit. The problem
presented is related to the existence of solutions of a
matrix equation
XE
°
NXA
=
Z
.Learning automation to teach mathematics
http://hdl.handle.net/2117/16880
Title: Learning automation to teach mathematics
Authors: Ferrer Llop, Josep; Peña Carrera, Marta; Ortiz Caraballo, CarmenMon, 12 Nov 2012 09:29:49 GMThttp://hdl.handle.net/2117/168802012-11-12T09:29:49ZFerrer Llop, Josep; Peña Carrera, Marta; Ortiz Caraballo, CarmennoInput Observability Analysis of Fixed Speed Wind Turbine
http://hdl.handle.net/2117/15829
Title: Input Observability Analysis of Fixed Speed Wind Turbine
Authors: García Planas, María Isabel; Domínguez García, José Luís; Mediano Valiente, Begoña
Abstract: This paper deals with the concept of input observability in a fixed speed wind turbine. A linear system
has been calculated from the nonlinear equations of the squirrel cage induction generator, supposing it connected
directly to the grid and assuming a steady state operating point. The observability of the input from the output
of the system could be an interesting way to know if its possible to develop some new controls without introduce
special sensors in the system. Furthermore, it is interesting to analyse which is the parameter variation margin of
the wind turbine from input-observable state to non-input observable, in order to obtain some restrictions to design
future controllers, or limit the operating points.Fri, 11 May 2012 09:56:05 GMThttp://hdl.handle.net/2117/158292012-05-11T09:56:05ZGarcía Planas, María Isabel; Domínguez García, José Luís; Mediano Valiente, BegoñanoThis paper deals with the concept of input observability in a fixed speed wind turbine. A linear system
has been calculated from the nonlinear equations of the squirrel cage induction generator, supposing it connected
directly to the grid and assuming a steady state operating point. The observability of the input from the output
of the system could be an interesting way to know if its possible to develop some new controls without introduce
special sensors in the system. Furthermore, it is interesting to analyse which is the parameter variation margin of
the wind turbine from input-observable state to non-input observable, in order to obtain some restrictions to design
future controllers, or limit the operating points.Output observability of time-invariant singular linear systems
http://hdl.handle.net/2117/14096
Title: Output observability of time-invariant singular linear systems
Authors: García Planas, María Isabel; Tarragona Romero, Sonia
Abstract: In this paper finite-dimensional singular linear
discrete-time-invariant systems in the form Ex(k +
1) = Ax(k) + Bu(k), y(k) = Cx(k) where E;A 2
M = Mn(C), B 2 Mn£m(C), C 2 Mp£n(C), describing
convolutional codes are considered and the notion
of output observability is analyzed.Mon, 28 Nov 2011 11:24:26 GMThttp://hdl.handle.net/2117/140962011-11-28T11:24:26ZGarcía Planas, María Isabel; Tarragona Romero, SonianoIn this paper finite-dimensional singular linear
discrete-time-invariant systems in the form Ex(k +
1) = Ax(k) + Bu(k), y(k) = Cx(k) where E;A 2
M = Mn(C), B 2 Mn£m(C), C 2 Mp£n(C), describing
convolutional codes are considered and the notion
of output observability is analyzed.Solving disturbance decoupling for singular systems by p&d-feedback and p&d-output injection
http://hdl.handle.net/2117/14095
Title: Solving disturbance decoupling for singular systems by p&d-feedback and p&d-output injection
Authors: García Planas, María Isabel
Abstract: Singular systems are an important class of systems
from both point of view theoretical and practical. In
this paper we analyze the problem of constructing feedbacks
and/or output injections that suppress this disturbance
in the sense that it does not affect the inputoutput
behavior of the system and makes the resulting
closed-loop system regular and of index at most one.
All results are based on the canonical reduced forms
that they can be computed using a complete system of
invariants and can be implemented in a numerically stable
way.Mon, 28 Nov 2011 11:19:02 GMThttp://hdl.handle.net/2117/140952011-11-28T11:19:02ZGarcía Planas, María IsabelnoSingular systems are an important class of systems
from both point of view theoretical and practical. In
this paper we analyze the problem of constructing feedbacks
and/or output injections that suppress this disturbance
in the sense that it does not affect the inputoutput
behavior of the system and makes the resulting
closed-loop system regular and of index at most one.
All results are based on the canonical reduced forms
that they can be computed using a complete system of
invariants and can be implemented in a numerically stable
way.Perturbation analysis of eigenvalues of polynomial matrices smoothly depending on parameters
http://hdl.handle.net/2117/13231
Title: Perturbation analysis of eigenvalues of polynomial matrices smoothly depending on parameters
Authors: García Planas, María Isabel; Tarragona Romero, Sonia
Abstract: Let P(¸) = Pk i=0 ¸iAi(p) be a family of monic polyomial matrices smoothly dependent on a vector of real parameters p = (p1; : : : ; pn). In this work we study behavior of a multiple eigenvalue of the monic polynomial family P(¸).
Description: Polynomial matrix, Eigenvalues, Perturbation.Mon, 19 Sep 2011 09:46:49 GMThttp://hdl.handle.net/2117/132312011-09-19T09:46:49ZGarcía Planas, María Isabel; Tarragona Romero, SonianoLet P(¸) = Pk i=0 ¸iAi(p) be a family of monic polyomial matrices smoothly dependent on a vector of real parameters p = (p1; : : : ; pn). In this work we study behavior of a multiple eigenvalue of the monic polynomial family P(¸).Controllability of time-invariant singular linear systems
http://hdl.handle.net/2117/11093
Title: Controllability of time-invariant singular linear systems
Authors: García Planas, María Isabel; Tarragona Romero, Sonia; Díaz, Adolfo
Abstract: We consider triples of matrices (E; A;B), representing singular linear time
invariant systems in the form Ex_ (t) = Ax(t)+Bu(t), with E;A 2 Mn(C) and
B 2 Mn£m(C), under proportional and derivative feedback.
Structural invariants under equivalence relation characterizing singular lin-
ear systems are used to obtain conditions for controllability of the systems.Tue, 18 Jan 2011 16:04:43 GMThttp://hdl.handle.net/2117/110932011-01-18T16:04:43ZGarcía Planas, María Isabel; Tarragona Romero, Sonia; Díaz, AdolfonoWe consider triples of matrices (E; A;B), representing singular linear time
invariant systems in the form Ex_ (t) = Ax(t)+Bu(t), with E;A 2 Mn(C) and
B 2 Mn£m(C), under proportional and derivative feedback.
Structural invariants under equivalence relation characterizing singular lin-
ear systems are used to obtain conditions for controllability of the systems.An alternative complete system of invariants for matrix pencils under strict equivalence
http://hdl.handle.net/2117/11079
Title: An alternative complete system of invariants for matrix pencils under strict equivalence
Authors: García Planas, María Isabel; Díaz, Adolfo
Abstract: We consider triples of matrices (E; A;B), representing singular linear time invariant
systems in the form Ex_ (t) = Ax(t) + Bu(t), with E;A 2 Mp£n(C) and B 2 Mn£m(C), un-
der proportional and derivative feedback. Using geometrical techniques we obtain miniversal
deformations that permit us to study sensivity and structural stability of singular systems.Tue, 18 Jan 2011 11:56:10 GMThttp://hdl.handle.net/2117/110792011-01-18T11:56:10ZGarcía Planas, María Isabel; Díaz, AdolfonoWe consider triples of matrices (E; A;B), representing singular linear time invariant
systems in the form Ex_ (t) = Ax(t) + Bu(t), with E;A 2 Mp£n(C) and B 2 Mn£m(C), un-
der proportional and derivative feedback. Using geometrical techniques we obtain miniversal
deformations that permit us to study sensivity and structural stability of singular systems.Sensivity and stability of singular systems under proportional and derivative
http://hdl.handle.net/2117/11077
Title: Sensivity and stability of singular systems under proportional and derivative
Authors: García Planas, María Isabel
Abstract: We consider triples of matrices (E; A;B), representing singular linear time invariant
systems in the form Ex_ (t) = Ax(t) + Bu(t), with E;A 2 Mp£n(C) and B 2 Mn£m(C), un-
der proportional and derivative feedback. Using geometrical techniques we obtain miniversal
deformations that permit us to study sensivity and structural stability of singular systems.Tue, 18 Jan 2011 11:50:06 GMThttp://hdl.handle.net/2117/110772011-01-18T11:50:06ZGarcía Planas, María IsabelnoWe consider triples of matrices (E; A;B), representing singular linear time invariant
systems in the form Ex_ (t) = Ax(t) + Bu(t), with E;A 2 Mp£n(C) and B 2 Mn£m(C), un-
der proportional and derivative feedback. Using geometrical techniques we obtain miniversal
deformations that permit us to study sensivity and structural stability of singular systems.Disturbance decoupling for singulars systems by proportional and derivate feedback and proportional and derivate outputm injection
http://hdl.handle.net/2117/8187
Title: Disturbance decoupling for singulars systems by proportional and derivate feedback and proportional and derivate outputm injection
Authors: García Planas, María Isabel
Abstract: We study the disturbance decoupling problem for linear time invariant singular
systems. We give necessary and su±cient conditions for the existence of a
solution to the disturbance decoupling problem with or without stability via a
proportional and derivative feedback and proportional and derivative output
injection that also makes the resulting closed-loop system regular and/or of
index at most one. All results are based on canonical reduced forms that can
be computed using a complete system of invariants that can be implemented
in a numerically stable way.Fri, 16 Jul 2010 06:37:23 GMThttp://hdl.handle.net/2117/81872010-07-16T06:37:23ZGarcía Planas, María IsabelnoWe study the disturbance decoupling problem for linear time invariant singular
systems. We give necessary and su±cient conditions for the existence of a
solution to the disturbance decoupling problem with or without stability via a
proportional and derivative feedback and proportional and derivative output
injection that also makes the resulting closed-loop system regular and/or of
index at most one. All results are based on canonical reduced forms that can
be computed using a complete system of invariants that can be implemented
in a numerically stable way.Linearization of local cohomology modules
http://hdl.handle.net/2117/833
Title: Linearization of local cohomology modules
Authors: Álvarez Montaner, Josep; Zarzuela Armengou, Santiago
Abstract: The aim of this work is to describe the linear structure
of regular holonomic $\mathcal D$-modules with support a normal crossing
with variation zero introduced in [Local cohomology, arrangements of
subspaces and
monomial ideals, to appear in Adv. in Math.] with special regard to the
case of
local cohomology modules supported on monomial ideals.Wed, 02 May 2007 15:57:27 GMThttp://hdl.handle.net/2117/8332007-05-02T15:57:27ZÁlvarez Montaner, Josep; Zarzuela Armengou, SantiagonoLocal cohomology, monomial Ideals, D-modulesThe aim of this work is to describe the linear structure
of regular holonomic $\mathcal D$-modules with support a normal crossing
with variation zero introduced in [Local cohomology, arrangements of
subspaces and
monomial ideals, to appear in Adv. in Math.] with special regard to the
case of
local cohomology modules supported on monomial ideals.