Add to ORKGA method for computing invariant sets of piecewise affine systems is presented. The method is based on convex optimization techniques and linear matrix inequalities. We show how to compute invariant ellipsoids, quadratic cones, and paraboloids for affine systems which contain initial sets of different form such as polytopes, ellipsoids, and degenerate ellipsoids. An invariant set for a piecewise affine system can be computed by an iterative procedure that utilizes these types of computations
This paper addresses the problem of identification of hybrid dynamical systems, by focusing the atte...
In this paper, we present a geometric approach for computing the controlled invariant set of a conti...
This paper addresses the problem of identification of hybrid dynamical systems, by focusing the atte...
A method for computing invariant sets of piecewise affine systems is presented. The method is based ...
Computing control invariant sets is paramount in many applications. The families of sets commonly us...
Computing control invariant sets is paramount in many applications. The families of sets commonly us...
We study the problem of computing the maximal admissible positively invariant set for discrete time ...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundação de Amparo à Pesquisa do Estado...
This paper presents a new (geometrical) approach to the computation of polyhedral positively invaria...
The concept and model of hybrid systems are introduced. Invariant sets introduced by LaSalle are pro...
A piecewise-linear hybrid system is a dynamic system which is the product of a finite-state automato...
International audienceWe introduce a new method to compute non-convex invariants of numerical progra...
This paper presents a new (geometrical) approach to the computation of polyhedral positively invaria...
International audienceThis paper deals with the computation of polytopic invariant sets for polynomi...
This paper presents a new (geometrical) approach to the computation of polyhedral positively invaria...
This paper addresses the problem of identification of hybrid dynamical systems, by focusing the atte...
In this paper, we present a geometric approach for computing the controlled invariant set of a conti...
This paper addresses the problem of identification of hybrid dynamical systems, by focusing the atte...
A method for computing invariant sets of piecewise affine systems is presented. The method is based ...
Computing control invariant sets is paramount in many applications. The families of sets commonly us...
Computing control invariant sets is paramount in many applications. The families of sets commonly us...
We study the problem of computing the maximal admissible positively invariant set for discrete time ...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundação de Amparo à Pesquisa do Estado...
This paper presents a new (geometrical) approach to the computation of polyhedral positively invaria...
The concept and model of hybrid systems are introduced. Invariant sets introduced by LaSalle are pro...
A piecewise-linear hybrid system is a dynamic system which is the product of a finite-state automato...
International audienceWe introduce a new method to compute non-convex invariants of numerical progra...
This paper presents a new (geometrical) approach to the computation of polyhedral positively invaria...
International audienceThis paper deals with the computation of polytopic invariant sets for polynomi...
This paper presents a new (geometrical) approach to the computation of polyhedral positively invaria...
This paper addresses the problem of identification of hybrid dynamical systems, by focusing the atte...
In this paper, we present a geometric approach for computing the controlled invariant set of a conti...
This paper addresses the problem of identification of hybrid dynamical systems, by focusing the atte...