Add to ORKGAbstract: A methodology for safety verification of nonlinear systems using barrier certificates has been proposed recently. The condition was stated in a sufficiency form: if there exists a barrier certificate, then the system is safe, in the sense that there is no trajectory starting from a given set of initial states that reaches a given unsafe region. Using the concepts of convex duality and density functions, in this paper we derive a converse statement for barrier certificates, showing that in a quite general setting the existence of a barrier certificate is also necessary for safety. Copyright c © 2005 IFAC
International audienceRecently, barrier certificates have been introduced to prove the safety of con...
This paper proposes a compositional method for verifying the safety of a dynamical system, given as ...
International audienceWe study the safety verification problem for a class of distributed parameter ...
A methodology for safety verification of nonlinear systems using barrier certificates has been propo...
Controller synthesis for nonlinear systems is considered with the following ob-jective: no trajector...
Controller synthesis for nonlinear systems is considered with the following objective: No trajectory...
This paper shows that a barrier certificate exists for any safe dynamical system. Specifically, we p...
This paper presents a methodology for safety verification of continuous and hybrid systems in the wo...
We develop a new method for safety verification of stochastic systems based on functions of states t...
A methodology for safety verification using barrier certificates has been proposed recently, Conditi...
This paper presents a converse barrier certificate theorem for a generic dynamical system.We show th...
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A barrier certificate can separate the state space of a considered hybrid system (HS) into safe and ...
By this poster, we aim at presenting in a comprehensive manner our new results on safety characteriz...
In this paper, we propose a data-driven approach to formally verify the safety of (potentially) unkn...
International audienceRecently, barrier certificates have been introduced to prove the safety of con...
This paper proposes a compositional method for verifying the safety of a dynamical system, given as ...
International audienceWe study the safety verification problem for a class of distributed parameter ...
A methodology for safety verification of nonlinear systems using barrier certificates has been propo...
Controller synthesis for nonlinear systems is considered with the following ob-jective: no trajector...
Controller synthesis for nonlinear systems is considered with the following objective: No trajectory...
This paper shows that a barrier certificate exists for any safe dynamical system. Specifically, we p...
This paper presents a methodology for safety verification of continuous and hybrid systems in the wo...
We develop a new method for safety verification of stochastic systems based on functions of states t...
A methodology for safety verification using barrier certificates has been proposed recently, Conditi...
This paper presents a converse barrier certificate theorem for a generic dynamical system.We show th...
Abstract. A barrier certificate is an inductive invariant function which can be used for the safety ...
A barrier certificate can separate the state space of a considered hybrid system (HS) into safe and ...
By this poster, we aim at presenting in a comprehensive manner our new results on safety characteriz...
In this paper, we propose a data-driven approach to formally verify the safety of (potentially) unkn...
International audienceRecently, barrier certificates have been introduced to prove the safety of con...
This paper proposes a compositional method for verifying the safety of a dynamical system, given as ...
International audienceWe study the safety verification problem for a class of distributed parameter ...