Autonomous multidimensional systems and their implementation by behavioral control

DN Avelli, P Rocha - Systems & control letters, 2010 - Elsevier
We consider autonomous n-dimensional systems over Zn with different degrees of
autonomy, which are characterized by the freeness of the system projections on certain sub …

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 …

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 …

Strongly autonomous interconnections and stabilization of 2D behaviors

D Napp, P Rocha - Asian Journal of control, 2010 - Wiley Online Library
In this paper we study linear discrete two‐dimensional systems in the behavioral context
where control is viewed as interconnection. Within this framework the natural concept of …

Distributed fixed-structure control of spatially interconnected systems

S Wollnack, H Werner - 2015 American Control Conference …, 2015 - ieeexplore.ieee.org
Novel stability and quadratic performance conditions in LMI form are presented that allow
the design of fixed-structure controllers for linear time-space-invariant spatially …

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 …

Almost direct sum decomposition and implementation of 2D behaviors

DN Avelli - Mathematics of Control, Signals, and Systems, 2009 - Springer
This paper deals with multidimensional systems, for example, systems described by linear,
constant coefficient partial differential/difference equations. In the behavioral approach, the …

Distributed fixed-structure control of spatially interconnected LTSV systems

S Wollnack, H Werner - … 54th IEEE Conference on Decision and …, 2015 - ieeexplore.ieee.org
Stability and quadratic performance LMI conditions are presented for spatially
interconnected linear time-space-varying (LTSV) systems in input-output form. By extending …

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 …