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Papers by Paula Beatriz rocha

2013 European Control Conference (ECC), 2013

In this paper a definition for the property of behavioral invariance is proposed with the purpose... more In this paper a definition for the property of behavioral invariance is proposed with the purpose of generalizing the state space geometric approach to the behavioral setting. Based on this notion together with the well-known notion of behavioral observer, a definition of conditioned invariance is also presented. The results obtained for the characterization of the defined properties put into evidence some problems that, in our opinion, should deserve attention. This could serve as a starting point for a discussion on the foundations of an analogue of the geometric theory within the behavioral setting.

In this paper we propose a definition of determinant for quaternionic polynomial matrices. This d... more In this paper we propose a definition of determinant for quaternionic polynomial matrices. This definition is later used in the study of stability of linear quaternionic systems within the behavioral setting.

In this paper the new concept of 2D structured system is defined and a characterization of global... more In this paper the new concept of 2D structured system is defined and a characterization of global reachability is obtained. This extends a well known result for 1D structured systems, according to which (A;B) is (generically) reachable if and only if the matrix [A B] is full generically row rank and irreducible.

apca.pt

BIBO-STABILITY OF QUATERNIONIC SYSTEMS Ricardo Pereira, 1,2 Paula Rocha, 2 Paolo Vettori 2 ... Af... more BIBO-STABILITY OF QUATERNIONIC SYSTEMS Ricardo Pereira, 1,2 Paula Rocha, 2 Paolo Vettori 2 ... After defining and investigating properties of quaternionic polyno-mials and rational functions, the Smith and the Smith-McMillan forms of quaternionic matrices are studied. ...

Multidimensional Systems and Signal Processing, 2011

The new concept of 2D structured system is defined and characterizations of global reachability a... more The new concept of 2D structured system is defined and characterizations of global reachability are obtained. This paper extends well known results for the 1D case, according to which a structured system (A λ , B λ) is (generically) reachable if and only if its graph is spanned by a cactus, or, equivalently, if and only if the pair (A λ , B λ) is full generically row rank and irreducible.

Mathematical Methods in the Applied Sciences, 2007

In this paper we propose a definition of determinant for quaternionic polynomial matrices inspire... more In this paper we propose a definition of determinant for quaternionic polynomial matrices inspired by the well-known Dieudonné determinant for the constant case. This notion allows to characterize the stability of linear dynamical systems with quaternionic coefficients, yielding results which generalize the ones obtained for the real and complex cases.

2013 European Control Conference (ECC), 2013

In this paper a definition for the property of behavioral invariance is proposed with the purpose... more In this paper a definition for the property of behavioral invariance is proposed with the purpose of generalizing the state space geometric approach to the behavioral setting. Based on this notion together with the well-known notion of behavioral observer, a definition of conditioned invariance is also presented. The results obtained for the characterization of the defined properties put into evidence some problems that, in our opinion, should deserve attention. This could serve as a starting point for a discussion on the foundations of an analogue of the geometric theory within the behavioral setting.

In this paper we propose a definition of determinant for quaternionic polynomial matrices. This d... more In this paper we propose a definition of determinant for quaternionic polynomial matrices. This definition is later used in the study of stability of linear quaternionic systems within the behavioral setting.

In this paper the new concept of 2D structured system is defined and a characterization of global... more In this paper the new concept of 2D structured system is defined and a characterization of global reachability is obtained. This extends a well known result for 1D structured systems, according to which (A;B) is (generically) reachable if and only if the matrix [A B] is full generically row rank and irreducible.

apca.pt

BIBO-STABILITY OF QUATERNIONIC SYSTEMS Ricardo Pereira, 1,2 Paula Rocha, 2 Paolo Vettori 2 ... Af... more BIBO-STABILITY OF QUATERNIONIC SYSTEMS Ricardo Pereira, 1,2 Paula Rocha, 2 Paolo Vettori 2 ... After defining and investigating properties of quaternionic polyno-mials and rational functions, the Smith and the Smith-McMillan forms of quaternionic matrices are studied. ...

Multidimensional Systems and Signal Processing, 2011

The new concept of 2D structured system is defined and characterizations of global reachability a... more The new concept of 2D structured system is defined and characterizations of global reachability are obtained. This paper extends well known results for the 1D case, according to which a structured system (A λ , B λ) is (generically) reachable if and only if its graph is spanned by a cactus, or, equivalently, if and only if the pair (A λ , B λ) is full generically row rank and irreducible.

Mathematical Methods in the Applied Sciences, 2007

In this paper we propose a definition of determinant for quaternionic polynomial matrices inspire... more In this paper we propose a definition of determinant for quaternionic polynomial matrices inspired by the well-known Dieudonné determinant for the constant case. This notion allows to characterize the stability of linear dynamical systems with quaternionic coefficients, yielding results which generalize the ones obtained for the real and complex cases.