Adaptive architectures for control of uncertain dynamical systems with actuator and unmodeled dynamics
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4624
Abstract: In adaptive control of uncertain dynamical systems, it is well known that the presence of actuator and/or unmodeled dynamics in feedback loops can yield to unstable closed‐loop system trajectories. Motivated by this standpoint, this paper… read more here.
Keywords: dynamical systems; uncertain dynamical; unmodeled dynamics; actuator unmodeled ... See more keywords
Hybrid dynamical systems with hybrid inputs: Definition of solutions and applications to interconnections
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4756
Abstract: Funding information Air Force Office of Scientific Research, Grant/Award Number: FA9550-16-1-0015; Air Force Research Laboratory, Grant/Award Number: FA9453-16-1-0053; CITRIS and the Banatao Institute; National Science Foundation, Grant/Award Number: CNS-1544396, ECS-1450484, and ECS-1710621 Summary In this… read more here.
Keywords: grant award; hybrid inputs; definition; dynamical systems ... See more keywords
Observer normal forms for a class of nonlinear systems by means of coupled auxiliary dynamics
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.5027
Abstract: This work aims at developing a class of nonlinear dynamical systems that can be converted into nonlinear observer normal forms, which support the well‐known high gain observer. This will be performed by means of the… read more here.
Keywords: auxiliary dynamics; dynamical systems; observer normal; class nonlinear ... See more keywords
Machine intelligence in dynamical systems: \A state‐of‐art review
Sign Up to like & getrecommendations! Published in 2022 at "Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery"
DOI: 10.1002/widm.1461
Abstract: This article is dedicated to study the impact of machine intelligence (MI) methods viz. various types of Neural models for investigating dynamical systems arising in interdisciplinary areas. Different types of artificial neural network (ANN) methods,… read more here.
Keywords: neural network; network; dynamical systems; machine intelligence ... See more keywords
Multidimensional Dynamical Systems with Noise : Population Density Techniques for Neuroscience.
Sign Up to like & getrecommendations! Published in 2022 at "Advances in experimental medicine and biology"
DOI: 10.1007/978-3-030-89439-9_7
Abstract: The problem of how to create efficient multi-scale models of large networks of neurons is a pressing one. It requires a balance between computational efficiency and a reduction of the number of parameters involved against… read more here.
Keywords: model neurons; population; point model; density ... See more keywords
Multiple of Homoclinic Solutions for a Perturbed Dynamical Systems with Combined Nonlinearities
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0930-x
Abstract: In this paper, we study the existence of multiple and infinite homoclinic solutions for the following perturbed dynamical systems $$\begin{aligned} \ddot{x}+A\cdot \dot{x}-L(t)\cdot x+\nabla W(t,x)=f(t), \end{aligned}$$x¨+A·x˙-L(t)·x+∇W(t,x)=f(t),where $$t\in {\mathbb R}, x\in {\mathbb R}^N,$$t∈R,x∈RN,A is an antisymmetric constant… read more here.
Keywords: homoclinic solutions; multiple homoclinic; mathbb mathbb; dynamical systems ... See more keywords
On Dynamical Systems with Nabla Half Derivative on Time Scales
Sign Up to like & getrecommendations! Published in 2020 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-020-01629-w
Abstract: This paper is devoted to study of dynamical systems involving nabla half derivative on an arbitrary time scale. We prove existence and uniqueness of the solution of such system supplied with a suitable initial condition.… read more here.
Keywords: time scales; nabla half; time; dynamical systems ... See more keywords
A Spectral Approach for Quenched Limit Theorems for Random Expanding Dynamical Systems
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-3083-7
Abstract: We prove quenched versions of (i) a large deviations principle (LDP), (ii) a central limit theorem (CLT), and (iii) a local central limit theorem for non-autonomous dynamical systems. A key advance is the extension of… read more here.
Keywords: sigma omega; limit; central limit; limit theorem ... See more keywords
The Large Deviation Principle for Interacting Dynamical Systems on Random Graphs
Sign Up to like & getrecommendations! Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-022-04312-1
Abstract: Using the weak convergence approach to large deviations, we formulate and prove the large deviation principle (LDP) for W-random graphs in the cut-norm topology. This generalizes the LDP for Erdős-R{\' e}nyi random graphs by Chatterjee… read more here.
Keywords: principle; dynamical systems; large deviation; random graphs ... See more keywords
Convex Computation of Extremal Invariant Measures of Nonlinear Dynamical Systems and Markov Processes
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-020-09658-1
Abstract: We propose a convex-optimization-based framework for computation of invariant measures of polynomial dynamical systems and Markov processes, in discrete and continuous time. The set of all invariant measures is characterized as the feasible set of… read more here.
Keywords: computation; systems markov; measure; dynamical systems ... See more keywords
Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-017-9520-5
Abstract: In this work, variational integrators of higher order for dynamical systems with holonomic constraints are constructed and analyzed. The construction is based on approximating the configuration and the Lagrange multiplier via different polynomials. The splitting… read more here.
Keywords: order; analysis; variational integrators; higher order ... See more keywords