Add to ORKGLyapunov's second theorem is an essential tool for stability analysis of differential equations. The paper provides an analog theorem for incremental stability analysis by lifting the Lyapunov function to the tangent bundle. The Lyapunov function endows the state-space with a Finsler structure. Incremental stability is inferred from infinitesimal contraction of the Finsler metrics through integration along solutions curves. © 2013 IEEE
Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium poi...
Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium poi...
Lyapunov's second theorem is a standard tool for stability analysis of ordinary differential equatio...
We study the stability of invariant sets such as equilibria or periodic orbits of a Dynamical System...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
This paper introduces a methodology for differential nonlinear stability analysis using contraction ...
Incremental stability is a property of dynamical and control systems, requiring the uniform asymptot...
A new class of Lyapunov functions is proposed for analysis of incremental stability for nonlinear sy...
International audienceA new stability analysis technique for systems composed of a differential equa...
AbstractIn the first section, stability-like definitions for ordinary differential equations are der...
Liapunov stability theory applied to class of partial differential equations, and generation of cont...
International audienceIn this paper, we reveal new connections between the incremental Lyapunov prop...
The contemporary theory of stability for systems of differential equations is based on the concept o...
The notion of stability allows to study the qualitative behavior of dynamical systems. In particular...
Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium poi...
Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium poi...
Lyapunov's second theorem is a standard tool for stability analysis of ordinary differential equatio...
We study the stability of invariant sets such as equilibria or periodic orbits of a Dynamical System...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
This paper introduces a methodology for differential nonlinear stability analysis using contraction ...
Incremental stability is a property of dynamical and control systems, requiring the uniform asymptot...
A new class of Lyapunov functions is proposed for analysis of incremental stability for nonlinear sy...
International audienceA new stability analysis technique for systems composed of a differential equa...
AbstractIn the first section, stability-like definitions for ordinary differential equations are der...
Liapunov stability theory applied to class of partial differential equations, and generation of cont...
International audienceIn this paper, we reveal new connections between the incremental Lyapunov prop...
The contemporary theory of stability for systems of differential equations is based on the concept o...
The notion of stability allows to study the qualitative behavior of dynamical systems. In particular...
Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium poi...
Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium poi...
Lyapunov's second theorem is a standard tool for stability analysis of ordinary differential equatio...