Results 81 to 90 of about 115,141 (223)
Gradient‐ and Newton‐Based Unit Vector Extremum Seeking Control
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper proposes new methods for stable and efficient convergence in multivariable extremum seeking control (ESC) using sliding mode techniques. Inspired by classical sliding modes and finite‐time control, the approach integrates these ideas into gradient‐ and Newton‐based ESC schemes with sinusoidal perturbations.
Roberto Luo +3 more
wiley +1 more source
Observer Design for Vector Nonlinear Systems With Applications to Autonomous Vehicles and Robots
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper focuses on observer design for nonlinear systems involving functions of vector arguments. The output equations and the process dynamics are both composed of nonlinear functions of nonseparable multivariable states. The partial derivatives of the nonlinear functions are assumed to be bounded.
Gaurav Sharma +2 more
wiley +1 more source
Privacy‐Preserving Data‐Driven Distributed MPC for Heterogeneous Nonlinear Multi‐Agent Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Distributed model predictive control (DMPC) is a cornerstone for coordinating multi‐agent systems, yet simultaneously ensuring data privacy, handling unknown nonlinear dynamics, and managing heterogeneous constraints remains an open challenge.
Mahmood Mazare, Hossein Ramezani
wiley +1 more source
On Lyapunov exponents and adversarial perturbation
CoRR, 2018 In this paper, we would like to disseminate a serendipitous discovery involving Lyapunov exponents of a 1-D time series and their use in serving as a filtering defense tool against a specific kind of deep adversarial perturbation. To this end, we use the state-of-the-art CleverHans library to generate adversarial perturbations against a standard ...
Vinay Uday Prabhu +2 more
openaire +2 more sources
Investigation of the applicability of Lyapunov exponents for transient stability assessment
, 2015 Lyapunov Exponents (LEs) measure the exponential rates of divergence or convergence of nearby trajectories in state-space models. The study presented in this paper investigates the applicability of this concept to power system transient stability ...
Wadduwage, DP +2 more
core
Lyapunov Exponents and Sensitive Dependence
Journal of Dynamics and Differential Equations, 2010 Precise relationships between Lyapunov exponents and the instability/stability of orbits of scalar discrete dynamical systems are investigated. It is known that positive Lyapunov exponent does not, in general, imply instability, or, equivalently, sensitive dependence on initial conditions.
Kocak, Hueseyin, Palmer, Kenneth J.
openaire +2 more sources
Spectrum of Lyapunov exponents in non-smooth systems evaluated using orthogonal perturbation vectors
MATEC Web of Conferences, 2018 This paper covers application of the novel method of Lyapunov exponents (LEs) spectrum estimation in non smooth mechanical systems. In the presented method, LEs are obtained from a Poincaré map.
Balcerzak Marek +3 more
doaj +1 more source
Energy Internet, EarlyView.ABSTRACT Power system operation is inherently a sequential decision‐making problem, traditionally addressed through optimisation models built upon high‐quality load forecasts. However, the rapid proliferation of renewable generation and price‐responsive demands, such as electric vehicles and merchant energy storage, has introduced multiple sources of ...
Wei Wei, Runze Liang
wiley +1 more source
Properties of Lyapunov exponents for quasiperodic cocycles with singularities
Electronic Journal of Differential Equations, 2015 We consider the quasi-periodic cocycles $(\omega,A(x,E)): (x,v)\mapsto (x+\omega, A(x,E)v)$ with $\omega$ Diophantine. Let $M_2(\mathbb{C})$ be a normed space endowed with the matrix norm, whose elements are the $2\times 2$ matrices.
Kai Tao
doaj
Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval. [PDF]
Commun Math Phys, 2023 Pollicott M, Vytnova P.
europepmc +1 more source