Balancing dwell times for switching linear systems, This Conference (2008)
Switching Linear Systems (SLSs) are a subclass of hybrid systems characterized by a Finite State Machine (FSM) and a set of linear dynamical systems, each corresponding to a state of the FSM. The...
Decision algorithm for the stability of planar switching linear systems (2008)
Daws, C.F., Langerak, R., Polderman, J.W.
This paper presents a decision algorithm for the analysis of the stability of a class of planar switched linear systems, modeled by hybrid automata. The dynamics in each location of the hybrid...
Parametrization of the regular equivalences of the canonical controller (2008)
Julius, A.A., Polderman, J.W., Van Der Schaft, A.J.
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 controller is a...
Time-domain description of behaviors over finite fields (2008)
We consider autonomous behaviors over a finite field with characteristic values that do not necessarily belong to the field. The time domain description of the behavior is given in a suitable field...
The predictable degree property and row reducedness for systems over a finite ring (2007)
Kuijper, M., Pinto, R., Polderman, J.W.
Motivated by applications in communications, we consider linear discrete time systems over the finite ring $Z_{p^r}$. We solve the open problem of deriving a theory of row reduced representations for...
Representations and structural properties of periodic systems (2007)
Aleixo, J.C., Polderman, J.W., Rocha, P.
We consider periodic behavioral systems as introduced in [Kuijper, M., & Willems, J. C. (1997). A behavioral framework for periodically time-varying systems. In Proceedings of the 36th conference on...
Row reduced representations of behaviors over finite rings (2007)
Kuijper, M., Pinto, R., Polderman, J.W.
Row reduced representations of behaviors over fields posses a number of useful properties. Perhaps the most important feature is the predictable degree property. This property allows a finite...
A contribution to the study of periodic systems in the behavioral approach (2007)
Aleixo, J.C., Polderman, J.W., Rocha, P.
In this paper we obtain new results on periodic kernel representations and propose a definition of “image" representation for periodic behaviors. Further, we characterize controllability and...
Systems theoretic methods in decoding (2007)
In this paper we show how ideas based on system theoretic modeling of linear behaviors may be used for decoding of linear codes. In particular we show how Sudan's bivariate interpolation approach to...
Kernel representations for behaviors over finite rings (2006)
Kuijper, M., Pinto, R., Polderman, J.W.
In this paper we consider dynamical systems finite rings. The rings that we study are the integers modulo a power of a given prime. We study the theory of representations for such systems, in...
Controllability, autonomicity and free variables in periodic behaviors (2006)
Aleixo, J.C., Polderman, J.W., Rocha, P.
In this paper we propose a new type of “image” representation for periodic behaviors and analyze the relationship between image representability and controllability, showing that the...
Autonomicity and the absence of free variables for behaviors over finite rings (2006)
Kuijper, M., Pinto, R., Polderman, J.W., Rocha, P.
The equivalence between autonomicity and the absence of free variables is a well-known result for linear, shift-invariant and complete behaviors over a field. However, this no longer holds for a...
Stability Analysis for Hybrid Automata Using Conservative Gains (2003)
Langerak, R., Polderman, J.W., Krilavičius, T.
This paper presents a stability analysis approach for a class of hybrid automata. It is assumed that the dynamics in each location of the hybrid automaton is linear and asymptotically stable, and...