Zobrazeno 1 - 10
of 306
pro vyhledávání: '"Dankowicz, Harry"'
Autor:
Dankowicz, Harry, Sieber, Jan
Bifurcation analysis collects techniques for characterizing the dependence of certain classes of solutions of a dynamical system on variations in problem parameters. Common solution classes of interest include equilibria and periodic orbits, the numb
Externí odkaz:
http://arxiv.org/abs/2411.00735
This paper presents a new boundary-value problem formulation for quantifying uncertainty induced by the presence of small Brownian noise near transversally stable periodic orbits (limit cycles) and quasiperiodic invariant tori of the deterministic dy
Externí odkaz:
http://arxiv.org/abs/2404.13429
Autor:
Li, Yang, Dankowicz, Harry
This paper generalizes recent results by the authors on noninvasive model-reference adaptive control designs for control-based continuation of periodic orbits in periodically excited linear systems with matched uncertainties to a larger class of peri
Externí odkaz:
http://arxiv.org/abs/2203.10306
Autor:
Dankowicz, Harry, Sieber, Jan
Publikováno v:
Journal of Computational Dynamics, 2022, 9(3): 329-369
This paper presents a rigorous framework for the continuation of solutions to nonlinear constraints and the simultaneous analysis of the sensitivities of test functions to constraint violations at each solution point using an adjoint-based approach.
Externí odkaz:
http://arxiv.org/abs/2111.02122
This paper treats comprehensively the construction of problems from nonlinear dynamics and constrained optimization amenable to parameter continuation techniques and with particular emphasis on multi-segment boundary-value problems with delay. The di
Externí odkaz:
http://arxiv.org/abs/2104.12261
Autor:
Mao, Yu, Dankowicz, Harry
This work aims to propose and design a class of networks of coupled linear and nonlinear oscillators, in which short bursts of exogenous excitation result in sustained endogenous network activity that returns to a quiescent state only after a charact
Externí odkaz:
http://arxiv.org/abs/2103.13963
Autor:
Mao, Yu, Dankowicz, Harry
Publikováno v:
In Journal of Sound and Vibration 17 February 2024 571
Autor:
Li, Mingwu, Dankowicz, Harry
We consider a class of optimal control problems on networks that generically permits a reduction to a universal set of reference problems without differential constraints that may be solved analytically. The derivation shows that input homogeneity ac
Externí odkaz:
http://arxiv.org/abs/2001.04906
Autor:
Li, Mingwu, Dankowicz, Harry
We generalize the successive continuation paradigm introduced by Kern\'evez and Doedel [16] for locating locally optimal solutions of constrained optimization problems to the case of simultaneous equality and inequality constraints. The analysis show
Externí odkaz:
http://arxiv.org/abs/1909.01422
This paper generalizes a previously-conceived, continuation-based optimization technique for scalar objective functions on constraint manifolds to cases of periodic and quasiperiodic solutions of delay-differential equations. A Lagrange formalism is
Externí odkaz:
http://arxiv.org/abs/1901.09121