activity
20162026
most citedMethods of Continuation and their Implementation in the COCO Software Platform with Application to Delay Differential Equations

48 citations · 116 across the 10 of their papers we have counts for

collaborators

10 papers

math.DS2026

Algebraic conditions for second-moment stability boundaries of linear, time-invariant stochastic delay-differential equations

Zsolt Iklodi, Harry Dankowicz

For linear, time-invariant stochastic delay-differential equations with a single constant delay and both multiplicative and additive noise, this paper derives optimal semi-analytic…

math.OC2022★ 8 cited

Model-free Continuation of Periodic Orbits in Certain Nonlinear Systems Using Continuous-Time Adaptive Control

Yang Li, Harry Dankowicz

This paper generalizes recent results by the authors on noninvasive model-reference adaptive control designs for control-based continuation of periodic orbits in periodically excit…

math.DS2021★ 2 cited

Sensitivity Analysis for Periodic Orbits and Quasiperiodic Invariant Tori Using the Adjoint Method

Harry Dankowicz, Jan Sieber

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 constrai…

math.DS2021★ 48 cited

Methods of Continuation and their Implementation in the COCO Software Platform with Application to Delay Differential Equations

Zaid Ahsan, Harry Dankowicz, Mingwu Li +1

This paper treats comprehensively the construction of problems from nonlinear dynamics and constrained optimization amenable to parameter continuation techniques and with particula…

math.DS2021★ 1 cited

Design of active network filters as hysteretic sensors

Yu Mao, Harry Dankowicz

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 n…

math.OC2020★ 2 cited

A unified analytical framework for a class of optimal control problems on networked systems

Mingwu Li, Harry Dankowicz

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…

math.OC2019★ 9 cited

Optimization with Equality and Inequality Constraints Using Parameter Continuation

Mingwu Li, Harry Dankowicz

We generalize the successive continuation paradigm introduced by Kernévez and Doedel [16] for locating locally optimal solutions of constrained optimization problems to the case of…

math.DS2019★ 8 cited

Optimization along Families of Periodic and Quasiperiodic Orbits in Dynamical Systems with Delay

Zaid Ahsan, Harry Dankowicz, Jan Sieber

This paper generalizes a previously-conceived, continuation-based optimization technique for scalar objective functions on constraint manifolds to cases of periodic and quasiperiod…

physics.soc-ph2018★ 26 cited

Impact of temporal network structures on the speed of consensus formation in opinion dynamics

Mingwu Li, Harry Dankowicz

Opinion dynamics on networks has wide applications to empirical and engineered systems and profound prospects in the general study of complex systems. Many efforts have been devote…

math.OC2016★ 12 cited

Input-Delay Compensation in a Robust Adaptive Control Framework

Kim-Doang Nguyen, Harry Dankowicz

A modification to the control framework for uncertain systems with actuator delay is presented. Specifically, a time delay is introduced in the control input of the st…