Add to ORKGIn this paper differential forms and differential algebra are applied to give a new defini-tion of realization for multivariable nonlinear systems consistent with the linear realization theory. Criteria for the existence of realization and the definition of minimal realization are presented. The relations of minimal realization and accessibility and finally the com-putation of realizations are also discussed in this paper
International audienceThe realization problem of nonlinear time-varying input–output equations is co...
A global framework for treating nonlinear differential dynamical systems is presented. It rests on t...
When a state variable description of a linear system is known, then its input–output behavior can be...
In this paper differential forms and differential algebra are applied to give a new definition of re...
Realization of multivariable nonlinear systems via the approaches of differential forms and differen...
We consider systems of smooth nonlinear differential and algebraic equations in which some of the va...
We discuss the realization problem for nonlinear systems which are not given by a nonlinear input-ou...
We consider systems of smooth nonlinear differential and algebraic equations in which some of the va...
International audienceThe nonlinear realization theory is recasted for time-varying single-input sin...
The system multi-realization problem is to find a state-variable realization for a set of systems, s...
International audienceThe state realization is called minimal if it is either accessible ...
summary:In this paper necessary and sufficient conditions are given which guarantee that there exist...
Based on the algorithm of Hirschorn [1] for obtaining inverses, sufficient conditions for invertibil...
Abstract. The relationship between three state space realizability conditions for nonlinear multi-in...
International audienceThe realization problem of nonlinear time-varying input–output equations is co...
A global framework for treating nonlinear differential dynamical systems is presented. It rests on t...
When a state variable description of a linear system is known, then its input–output behavior can be...
In this paper differential forms and differential algebra are applied to give a new definition of re...
Realization of multivariable nonlinear systems via the approaches of differential forms and differen...
We consider systems of smooth nonlinear differential and algebraic equations in which some of the va...
We discuss the realization problem for nonlinear systems which are not given by a nonlinear input-ou...
We consider systems of smooth nonlinear differential and algebraic equations in which some of the va...
International audienceThe nonlinear realization theory is recasted for time-varying single-input sin...
The system multi-realization problem is to find a state-variable realization for a set of systems, s...
International audienceThe state realization is called minimal if it is either accessible ...
summary:In this paper necessary and sufficient conditions are given which guarantee that there exist...
Based on the algorithm of Hirschorn [1] for obtaining inverses, sufficient conditions for invertibil...
Abstract. The relationship between three state space realizability conditions for nonlinear multi-in...
International audienceThe realization problem of nonlinear time-varying input–output equations is co...
A global framework for treating nonlinear differential dynamical systems is presented. It rests on t...
When a state variable description of a linear system is known, then its input–output behavior can be...