Min-max certainty equivalence principle and differential games (2007)
Bernhard, Pierre, Rapaport, Alain
This paper presents a version of the certainty equivalence principle, usable for nonlinear, variable end-time, partial observation zero-sum differential games, which states that under the unicity of...
Min-max certainty equivalence principle and differential games (2007)
Bernhard, Pierre, Rapaport, Alain
This paper presents a version of the certainty equivalence principle, usable for nonlinear, variable end-time, partial observation zero-sum differential games, which states that under the unicity of...
Persistence in ratio-dependent models of consumer-resource dynamics (2007)
Claude Lobry, Frederic Mazenc, Alain Rapaport
In a recent work Cantrell, Cosner and Ruan show that intraspecific interference is responsible for coexistence of many consumers for one resource with a logistic like growth rate. Recently, we have...
Practical and Polytopic Observers for Nonlinear Uncertain Systems (2006)
Rapaport, Alain, Gouzé, Jean-Luc
For a class of dynamical systems, with uncertain nonlinear terms considered as «unknown inputs», we give sufficient conditions for observability. We show also that there does not exist any exact...
Practical and Polytopic Observers for Nonlinear Uncertain Systems (2006)
Rapaport, Alain, Gouzé, Jean-Luc
For a class of dynamical systems, with uncertain nonlinear terms considered as «unknown inputs», we give sufficient conditions for observability. We show also that there does not exist any exact...
Polytopic Lyapunov functions for persistence analysis of competing species (2005)
Grognard, Frédéric, Mazenc, Frédéric, Rapaport, Alain
We show that stability of the equilibrium of a family of interconnected scalar systems can be proved by using a sum of monotonic ${\mathcal C}^0$ functions as Lyapunov function. We prove this result...
Polytopic Lyapunov functions for persistence analysis of competing species (2005)
Grognard, Frédéric, Mazenc, Frédéric, Rapaport, Alain
We show that stability of the equilibrium of a family of interconnected scalar systems can be proved by using a sum of monotonic ${\mathcal C}^0$ functions as Lyapunov function. We prove this result...
Polytopic Lyapunov functions for persistence analysis of competing species (2005)
Grognard, Frédéric, Mazenc, Frédéric, Rapaport, Alain
We show that stability of the equilibrium of a family of interconnected scalar systems can be proved by using a sum of monotonic ${\mathcal C}^0$ functions as Lyapunov function. We prove this result...
Practical and Polytopic Observers for Nonlinear Uncertain Systems (2000)
Rapaport, Alain, Gouzé, Jean-Luc
For a class of dynamical systems, with uncertain nonlinear terms considered as «unknown inputs», we give sufficient conditions for observability. We show also that there does not exist any exact...