Lyapunov functions and finite-time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems
Jean‐Michel Coron, Hoài-Minh Nguyên
Abstract
Hyperbolic systems in one-dimensional space are frequently used in the modeling of many physical systems. In our recent works we introduced time-independent feedbacks leading to finite stabilization in optimal time of homogeneous linear and quasilinear hyperbolic systems. In this work we present Lyapunov’s functions for these feedbacks and use estimates for Lyapunov’s functions to rediscover the finite stabilization results.
Topics & Concepts
HomogeneousLyapunov functionMathematicsControl theory (sociology)Applied mathematicsLyapunov exponentMathematical analysisNonlinear systemComputer sciencePhysicsControl (management)Quantum mechanicsCombinatoricsArtificial intelligenceStability and Controllability of Differential EquationsAdvanced Mathematical Physics ProblemsNavier-Stokes equation solutions