Controllability of networks of spatially one-dimensional second order PDEs—an algebraic approach
F Woittennek, H Mounier - SIAM Journal on Control and Optimization, 2010 - SIAM
We discuss controllability of systems that are initially given by boundary coupled PDEs of
second order. These systems may be described by modules over particular rings of …
second order. These systems may be described by modules over particular rings of …
Time-autonomy versus time-controllability
AJ Sasane, EGF Thomas, JC Willems - Systems & control letters, 2002 - Elsevier
We study systems whose dynamics are described by systems of linear constant coefficient
partial differential equations in a behavioural framework. Questions about the notion of …
partial differential equations in a behavioural framework. Questions about the notion of …
Multidimensional behaviours: an algebraic approach to control theory for PDE
E Zerz - International Journal of Control, 2004 - Taylor & Francis
This paper gives an overview of the algebraic theory of multidimensional behaviours, and it
contains some new aspects as well. Some known results are restated with a new proof. After …
contains some new aspects as well. Some known results are restated with a new proof. After …
Time-autonomy and time-controllability of 2-D behaviours that are tempered in the spatial direction
AJ Sasane - Multidimensional Systems and Signal Processing, 2004 - Springer
This paper studies the notions of time-autonomy and (exact) time-controllability of
behaviours with respect to a certain mild space, which while being not too general …
behaviours with respect to a certain mild space, which while being not too general …
Time-autonomy and time-controllability of discrete multidimensional behaviours
U Oberst, M Scheicher - International journal of control, 2012 - Taylor & Francis
Predecessors and starting point of this article on multidimensional discrete time-autonomy
(ta) and time-controllability (tc) were three papers from 2002 to 2004 by Sasane, Controneo …
(ta) and time-controllability (tc) were three papers from 2002 to 2004 by Sasane, Controneo …
Zero-time-controllability and dead-beat control of two-dimensional behaviors
M Bisiacco, ME Valcher - SIAM Journal on Control and Optimization, 2013 - SIAM
In this paper two-dimensional (2D) discrete behaviors, defined on the grid Z_+*Z and having
the time as (first) independent variable, are investigated. For these behaviors, by …
the time as (first) independent variable, are investigated. For these behaviors, by …
[PDF][PDF] On the Willems closure with respect to Ws.
AJ Sasane - IMA Journal of Mathematical Control & Information, 2003 - personal.lse.ac.uk
The behavioural theory of Willems exploits the correspondence between the algebraic
properties of the module describing the behaviour and the properties of the behaviour. For …
properties of the module describing the behaviour and the properties of the behaviour. For …
Dead-beat control of two-dimensional behaviors
M Bisiacco, ME Valcher - 2012 IEEE 51st IEEE Conference on …, 2012 - ieeexplore.ieee.org
In this paper two-dimensional (2D) discrete behaviors, defined on the grid ℤ+× ℤ and having
the time as (first) independent variable, are investigated. For these behaviors, by …
the time as (first) independent variable, are investigated. For these behaviors, by …
Algebraic characterization of approximate controllability of behaviours of spatially invariant systems
A Sasane - Systems & Control Letters, 2020 - Elsevier
An algebraic characterization of the property of approximate controllability is given, for
behaviours of spatially invariant dynamical systems, consisting of distributional solutions w …
behaviours of spatially invariant dynamical systems, consisting of distributional solutions w …
Partial interconnection and observer-based dead-beat control of two-dimensional behaviors
M Bisiacco, ME Valcher - Multidimensional Systems and Signal …, 2015 - Springer
In this paper the dead-beat control problem, by partial interconnection, of two-dimensional
(2D) discrete behaviors, defined on the grid Z _+ * Z Z+× Z and having the time as (first) …
(2D) discrete behaviors, defined on the grid Z _+ * Z Z+× Z and having the time as (first) …