On the parametrization of all regularly implementing and stabilizing controllers

C Praagman, HL Trentelman, RZ Yoe - SIAM Journal on Control and …, 2007 - SIAM
In this paper we deal with problems of controller parametrization in the context of behavioral
systems. Given a full plant behavior, a subbehavior of the manifest plant behavior is called …

Pontryagin maximum principle revisited with feedbacks

Z Artstein - European Journal of Control, 2011 - search.proquest.com
Allowing state feedback in the variational equation of the Pontryagin Maximum Principle
may strengthen the power of the Principle. We examine the method, several of its …

On the regular implementability of nD systems

HL Trentelman, DN Avelli - Systems & control letters, 2007 - Elsevier
In this short paper we study the problem of finding necessary and sufficient conditions for
regular implementability by partial interconnection for nD system behaviors. In [MN Belur, HL …

Parametrization of the regular equivalences of the canonical controller

AA Julius, JW Polderman… - IEEE transactions on …, 2008 - ieeexplore.ieee.org
We study control problems for linear systems in the behavioral framework. Our focus is a
class of regular controllers that are equivalent to the canonical controller. The canonical …

Regular implementability and stabilization using controllers with pre-specified input/output partition

S Fiaz, HL Trentelman - IEEE transactions on automatic control, 2009 - ieeexplore.ieee.org
This paper deals with the problems of regular implementability and stabilization of a given
plant in the context of finite-dimensional linear differential system behaviors. In particular we …

Regular implementation in the space of compactly supported functions

DN Avelli, S Shankar, HL Trentelman - Systems & control letters, 2008 - Elsevier
This article extends results on regular implementability in [P. Rocha, Canonical controllers
and regular implementation of nd behaviors, in: Proceedings of the 16th IFAC World …

On regular implementability using controllers with a priori input/output structure

HL Trentelman, S Fiaz - … 46th IEEE Conference on Decision and …, 2007 - ieeexplore.ieee.org
In this paper we deal with the problem of finding necessary and sufficient conditions for a
behavior to be regularly implementable using controllers in which an a priori given part of …

A note on controlled invariance for behavioral nD systems

R Pereira, P Rocha - Algebraic and Symbolic Computation Methods in …, 2020 - Springer
In this chapter we extend the notion of invariance of nD behaviors introduced in Pereira and
Rocha (European Control Conference 2013, ECC'13. ETH Zurich, Switzerland, pp. 301 …

Stabilization of discrete 2D behaviors by regular partial interconnection

D Napp, P Rocha - Mathematics of Control, Signals, and Systems, 2011 - Springer
In this work, we consider linear, shift-invariant and complete two-dimensional (2D) discrete
systems from a behavioral point of view. In particular, we examine behaviors with two types …

Implementation of 2D strongly autonomous behaviors by full and partial interconnections

D Napp Avelli, P Rocha - Positive Systems: Proceedings of the third …, 2009 - Springer
In this paper we study linear discrete two-dimensional systems in the behavioral context
where control is viewed as interconnection. Within the behavioral framework a natural …