Results 61 to 70 of about 30,360 (174)
New Approach to the Stability of Chemical Reaction Networks: Piecewise Linear in Rates Lyapunov Functions [PDF]
, 2014 Piecewise-Linear in Rates (PWLR) Lyapunov functions are introduced for a class of Chemical Reaction Networks (CRNs). In addition to their simple structure, these functions are robust with respect to arbitrary monotone reaction rates, of which mass-action is a special case.
arxiv +1 more source
Bias‐Aware Inference in Fuzzy Regression Discontinuity Designs
Econometrica, Volume 92, Issue 3, Page 687-711, May 2024.We propose new confidence sets (CSs) for the regression discontinuity parameter in fuzzy designs. Our CSs are based on local linear regression, and are bias‐aware, in the sense that they take possible bias explicitly into account. Their construction shares similarities with that of Anderson–Rubin CSs in exactly identified instrumental variable models ...
Claudia Noack, Christoph Rothe
wiley +1 more source
Lyapunov Functions in Piecewise Linear Systems: From Fixed Point to Limit Cycle [PDF]
arXiv, 2013 This paper provides a first example of constructing Lyapunov functions in a class of piecewise linear systems with limit cycles. The method of construction helps analyze and control complex oscillating systems through novel geometric means. Special attention is stressed upon a problem not formerly solved: to impose consistent boundary conditions on the
arxiv
Bearing‐based formation stabilization using event‐triggered control
International Journal of Robust and Nonlinear Control, Volume 34, Issue 6, Page 4375-4387, April 2024.Abstract This article studies two distributed bearing‐based event‐triggered schemes to achieve formation stabilization. We focus on systems with double‐integrator dynamics with bearings sensing capabilities. Firstly, we propose a bearing‐only event‐triggered condition (ETC) that is edge‐dependent which drives the control updates of the agents using ...
Mayank Sewlia, Daniel Zelazo
wiley +1 more source
Learning Lyapunov Functions for Hybrid Systems [PDF]
arXiv, 2020 We propose a sampling-based approach to learn Lyapunov functions for a class of discrete-time autonomous hybrid systems that admit a mixed-integer representation. Such systems include autonomous piecewise affine systems, closed-loop dynamics of linear systems with model predictive controllers, piecewise affine/linear complementarity/mixed-logical ...
arxiv
Small‐gain based stabilizing control for hybrid systems: Application to bipedal walking robot
IET Control Theory &Applications, Volume 18, Issue 6, Page 784-797, April 2024.This paper presents a systematic methodology for developing a stabilizing controller for hybrid systems. The approach is based on utilizing the small‐gain theorem as a means of constructing the Lyapunov function. A dynamic control system is proposed such that satisfies the closed‐loop stability conditions.
Fatemeh Khademian, Mehdi Rahmani
wiley +1 more source
Fault estimation for nonlinear uncertain time‐delay systems based on unknown input observer
IET Control Theory &Applications, Volume 18, Issue 7, Page 846-864, April 2024.In this paper, a novel nonlinear unknown input observer is proposed in order to fault estimation for nonlinear uncertain systems with time delays. The time delay is considered a constant and known parameter in the states. The disturbances are investigated in the states and outputs and also, and sensor and actuator faults are considered.
Ataollah Azarbani +2 more
wiley +1 more source
Relative Periodic Solutions of the Complex Ginzburg-Landau Equation
, 2005 A method of finding relative periodic orbits for differential equations with continuous symmetries is described and its utility demonstrated by computing relative periodic solutions for the one-dimensional complex Ginzburg-Landau equation (CGLE) with ...
Dang‐Vu H. +7 more
core +2 more sources
Lyapunov exponents of a class of piecewise continuous systems of fractional order [PDF]
arXiv, 2014 In this paper, we prove that a class of autonomous piecewise continuous systems of fractional order has well-defined Lyapunov exponents. For this purpose, based on some known results from differential inclusions of integer and fractional order and differential equations with discontinuous right-hand side, the associated discontinuous initial value ...
arxiv
On the Hausdorff Dimension of Piecewise Hyperbolic Attractors [PDF]
arXiv, 2009 We study non-invertible piecewise hyperbolic maps in the plane. The Hausdorff dimension of the attractor is calculated in terms of the Lyapunov exponents, provided that the map satisfies a transversality condition. Explicit examples of maps for which this condition holds are given.
arxiv