Results 71 to 80 of about 3,260 (185)
ABSTRACT Designing safe control laws for nonlinear systems is challenging, especially when ensuring stability under actuator saturation and state constraints. A key aspect is embedding controllers with a Region of Attraction (ROA), which defines initial conditions guaranteeing convergence to a stable equilibrium point (EP).
Bhaskar Biswas +3 more
wiley +1 more source
T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma +2 more
wiley +1 more source
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Schematic diagram of the whale optimization algorithm (WOA)–optimized fuzzy proportional–integral–derivative (PID) controller. The WOA is employed to dynamically tune the scaling factor expressions and fuzzy control parameters (a(e)a(e), a(ec)a(ec), βpβp, βiβi), as well as the initial PID gains (kp0kp0, ki0ki0), based on the error (ee) and its ...
Xiaosong Tian +7 more
wiley +1 more source
Spectrum of Lyapunov exponents in non-smooth systems evaluated using orthogonal perturbation vectors
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
Bayesian Inference for Multivariate Monotone Densities
ABSTRACT We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian approach of imposing a prior that satisfies the monotonicity restriction, we place a prior on the step heights via binning and a Dirichlet distribution. The resulting posterior distribution
Kang Wang, Subhashis Ghosal
wiley +1 more source
Properties of Lyapunov exponents for quasiperodic cocycles with singularities
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]
Pollicott M, Vytnova P.
europepmc +1 more source
Lyapunov Exponents and Oceanic Fronts [PDF]
Lyapunov exponents and Lyapunov vectors are precious tools to study dynamical systems: they provide a mathematical framework characterizing sensitive dependence on initial conditions, as well as the stretching and the contraction occurring along a trajectory.
Toselli, Francesco +4 more
openaire +2 more sources
A hidden Markov model and reinforcement learning‐based strategy for fault‐tolerant control
Abstract This study introduces a data‐driven control strategy integrating hidden Markov models (HMM) and reinforcement learning (RL) to achieve resilient, fault‐tolerant operation against persistent disturbances in nonlinear chemical processes. Called hidden Markov model and reinforcement learning (HMMRL), this strategy is evaluated in two case studies
Tamera Leitao +2 more
wiley +1 more source

