Using categorical methods, a duality theory between reachability and observability is developed for linear systems over arbitrary rings. In particular, it is shown that a duality correspondence exists for systems with finitely generated R-modules as input, state and output modules if and only if R is a quasi-Frobenius ring
The notions of monomial generalized Frobenius matrices is proposed and the reachability and observab...
In this paper, computational methods to test the reach ability and stabilizability of a system over ...
AbstractThe goal of this paper is to prove that, if R is a commutative ring containing a (non-zero) ...
Using categorical methods, a duality theory between reachability and observability is developed for ...
AbstractThe main result in this paper characterizes those commutative rings R having the property th...
A commutative ring with identity is called a full quotient ring if every element of R is either a un...
AbstractWe establish sufficient conditions for assignability of reachable linear systems over commut...
summary:This paper discusses the properties of reachability and observability for linear systems ove...
AbstractWe consider l-order linear control systems Σ with coefficients in a commutative ring R. The ...
This paper deals with observability properties of realizations of linear esponse maps defined over c...
In this paper we will study dynamical systems over Noetherian rings. We will follow the behavioural ...
In this paper the properties of linear systems in the behavioural approach are analyzed in the case ...
This paper deals with observability properties of realizations of linear response maps defined over ...
AbstractThe Arbib-Manes duality theory for decomposable systems in a category is generalized, making...
AbstractTwo classes of rings which occur in linear system theory are introduced and compared. Charac...
The notions of monomial generalized Frobenius matrices is proposed and the reachability and observab...
In this paper, computational methods to test the reach ability and stabilizability of a system over ...
AbstractThe goal of this paper is to prove that, if R is a commutative ring containing a (non-zero) ...
Using categorical methods, a duality theory between reachability and observability is developed for ...
AbstractThe main result in this paper characterizes those commutative rings R having the property th...
A commutative ring with identity is called a full quotient ring if every element of R is either a un...
AbstractWe establish sufficient conditions for assignability of reachable linear systems over commut...
summary:This paper discusses the properties of reachability and observability for linear systems ove...
AbstractWe consider l-order linear control systems Σ with coefficients in a commutative ring R. The ...
This paper deals with observability properties of realizations of linear esponse maps defined over c...
In this paper we will study dynamical systems over Noetherian rings. We will follow the behavioural ...
In this paper the properties of linear systems in the behavioural approach are analyzed in the case ...
This paper deals with observability properties of realizations of linear response maps defined over ...
AbstractThe Arbib-Manes duality theory for decomposable systems in a category is generalized, making...
AbstractTwo classes of rings which occur in linear system theory are introduced and compared. Charac...
The notions of monomial generalized Frobenius matrices is proposed and the reachability and observab...
In this paper, computational methods to test the reach ability and stabilizability of a system over ...
AbstractThe goal of this paper is to prove that, if R is a commutative ring containing a (non-zero) ...
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