On Homogeneous Distributed Parameter Systems

DOI10.1109/TAC.2016.2525925zbMath1359.93008MaRDI QIDQ2980312

Andrey Polyakov, Denis V. Efimov, Wilfrid Perruquetti, Eh. M. Fridman

Publication date: 3 May 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Dynamical systems in control (37N35) General systems (93A10) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)

Related Items

On the finite-time Bhat-Bernstein feedbacks for the strings connected by point mass, On robustness of finite-time stability of homogeneous affine nonlinear systems and cascade interconnections, Non-parametric identification of homogeneous dynamical systems, Input-to-state stability of homogeneous infinite dimensional systems with locally Lipschitz nonlinearities, A novel approach to stability analysis of a wide class of irrational linear systems, Generalized homogenization of linear controllers: Theory and experiment, Analysis of robustness of homogeneous systems with time delays using Lyapunov‐Krasovskii functionals, On finite‐time stability analysis of homogeneous vector fields with multiplicative perturbations, Homogeneity based finite/fixed‐time observers for linear MIMO systems, Fast Control Systems: Nonlinear Approach, Sliding mode control design using canonical homogeneous norm, Consistent Discretization of Finite-Time and Fixed-Time Stable Systems, Homogeneous Lyapunov functions for homogeneous infinite dimensional systems with unbounded nonlinear operators, A new class of strict Lyapunov functions for nonlinear time-varying systems, Stability analysis of switched homogeneous time-delay systems under synchronous and asynchronous commutation, On the global finite-time stabilization of bilinear systems by homogeneous feedback laws. Applications to some PDE's, Lyapunov--Krasovskii Functional for Discretized Homogeneous Systems, Robust feedback stabilisation of homogeneous differential inclusions