activity
20102026
most citedOn the Relation of Delay Equations to First-Order Hyperbolic Partial Differential Equations

68 citations · 360 across the 99 of their papers we have counts for

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Showing 2016Show all

10 papers · 1 filter

math.OC2016★ 1 cited

Stochastic Source Seeking with Forward and Angular Velocity Regulation

Jinbiao Lin, Shiji Song, Keyou You +1

This paper studies a stochastic extremum seeking method to steer a nonholonomic vehicle to the unknown source of a static spatially distributed filed in a plane. The key challenge…

math.OC2016

Stability of Integral Delay Equations and Stabilization of Age-Structured Models

Iasson Karafyllis, Miroslav Krstic

We present bounded dynamic (but observer-free) output feedback laws that achieve global stabilization of equilibrium profiles of the partial differential equation (PDE) model of a…

math.OC2016★ 5 cited

Output Feedback Control of the One-Phase Stefan Problem

Shumon Koga, Mamadou Diagne, Miroslav Krstic

In this paper, a backstepping observer and an output feedback control law are designed for the stabilization of the one-phase Stefan problem. The present result is an improvement o…

math.OC2016★ 1 cited

Time-Inconsistent Mean-Field Stochastic LQ Problem: Open-Loop Time-Consistent Control

Yuan-Hua Ni, Ji-Feng Zhang, Miroslav Krstic

This paper is concerned with the open-loop time-consistent solution of time-inconsistent mean-field stochastic linear-quadratic optimal control. Different from standard stochastic…

math.OC2016★ 5 cited

Backstepping Control of the One-Phase Stefan Problem

Shumon Koga, Mamadou Diagne, Shuxia Tang +1

In this paper, a backstepping control of the one-phase Stefan Problem, which is a 1-D diffusion Partial Differential Equation (PDE) defined on a time varying spatial domain describ…

math.OC2016

ISS in Different Norms for 1-D Parabolic PDES With Boundary Disturbances

Iasson Karafyllis, Miroslav Krstic

For 1-D parabolic PDEs with disturbances at both boundaries and distributed disturbances we provide ISS estimates in various norms. Due to the lack of an ISS Lyapunov functional fo…