We study criteria allowing to compare the conservativeness of stability certificates for switching systems. The stability certificates under consideration are Path-Complete Lyapunov functions (PCLFs), which are multiple Lyapunov functions with an underlying combinatorial structure. Several criteria exist to compare these certificates and we focus here on the recently introduced concept of simulation. This criterion, which is borrowed from automata theory, relies only on the combinatorial structures that underlie the PCLFs. We show that the concept of simulation provides a complete characterization of the ordering relation between PCLFs, independently of the algebraic properties of the dynamical system studied and the template of Lyapunov fu...
We study the stability of switching dynamical systems with the following dynamics
We study path-complete Lyapunov functions, which are stability criteria for switched systems, descri...
International audienceWe use a graph-theory-based argument to propose a novel Lyapunov construction ...
This paper investigates, in the context of discrete-time switched systems, the problem of comparison...
We study optimization-based criteria for the stability of switching systems, known as Path-Complete ...
In the context of discrete-time switched systems, we study the comparison of stability certificates ...
We provide an algorithmic procedure allowing to compare stability certificates for discretetime swit...
We study path-complete Lyapunov functions, which are stability criteria for switched systems, descri...
We study optimization-based criteria for the stability of switching systems, known as Path-Complete ...
In this paper, in the framework of stability analysis of switched systems, we review and analyze mul...
As part of the development of Lyapunov techniques for cyberphysical systems, we study and compare gr...
Switching systems are dynamical systems having several operating modes. For example, consider a cont...
In the framework of discrete-time switching systems, we analyze and compare various stability certif...
A Path-Complete Lyapunov Function is an algebraic criterion composed of a finite number of functions...
A Path-Complete Lyapunov Function is an algebraic criterion composed of a finite number of functions...
We study the stability of switching dynamical systems with the following dynamics
We study path-complete Lyapunov functions, which are stability criteria for switched systems, descri...
International audienceWe use a graph-theory-based argument to propose a novel Lyapunov construction ...
This paper investigates, in the context of discrete-time switched systems, the problem of comparison...
We study optimization-based criteria for the stability of switching systems, known as Path-Complete ...
In the context of discrete-time switched systems, we study the comparison of stability certificates ...
We provide an algorithmic procedure allowing to compare stability certificates for discretetime swit...
We study path-complete Lyapunov functions, which are stability criteria for switched systems, descri...
We study optimization-based criteria for the stability of switching systems, known as Path-Complete ...
In this paper, in the framework of stability analysis of switched systems, we review and analyze mul...
As part of the development of Lyapunov techniques for cyberphysical systems, we study and compare gr...
Switching systems are dynamical systems having several operating modes. For example, consider a cont...
In the framework of discrete-time switching systems, we analyze and compare various stability certif...
A Path-Complete Lyapunov Function is an algebraic criterion composed of a finite number of functions...
A Path-Complete Lyapunov Function is an algebraic criterion composed of a finite number of functions...
We study the stability of switching dynamical systems with the following dynamics
We study path-complete Lyapunov functions, which are stability criteria for switched systems, descri...
International audienceWe use a graph-theory-based argument to propose a novel Lyapunov construction ...