Contraction theory for nonlinear stability analysis and learning-based control: A tutorial overview

H Tsukamoto, SJ Chung, JJE Slotine - Annual Reviews in Control, 2021 - Elsevier
Contraction theory is an analytical tool to study differential dynamics of a non-autonomous
(ie, time-varying) nonlinear system under a contraction metric defined with a uniformly …

Mathematical Modeling of Regime Shifts in Fluctuating Environments: The Impact of Allee Effects and Cooperation

B Paul, B Mondal, U Ghosh - The European Physical Journal Plus, 2024 - Springer
In this paper, we investigate the deterministic and stochastic behaviour of the prey-predator
model with cooperation and the mate-finding Allee effect. The stochasticity in the prey …

Predictive control of linear discrete-time Markovian jump systems by learning recurrent patterns

SJ Han, SJ Chung, JC Doyle - Automatica, 2023 - Elsevier
Incorporating pattern-learning for prediction (PLP) in many discrete-time or discrete-event
systems allows for computation-efficient controller design by memorizing patterns to …

Stochastic logarithmic Lipschitz constants: A tool to analyze contractivity of stochastic differential equations

Z Aminzare - IEEE control systems letters, 2022 - ieeexplore.ieee.org
We introduce the notion of stochastic logarithmic Lipschitz constants and use these
constants to characterize stochastic contractivity of Itô stochastic differential equations …

[PDF][PDF] Practical Exponential Stability of Uncertain Nonlinear Delayed Urban Traffic Systems.

Z Liu, P Gao, C Wei - Engineering Letters, 2024 - engineeringletters.com
Practical stability can describe qualitative behavior and quantitative properties of systems in
comparison with traditional Lyapunov stability theory. In this paper, such stability problem is …

[PDF][PDF] Stability of nonlinear Markovian switched delay sub-fractional stochastic systems

C Wei, M Ma, H Qu, H Wang - J. Engineering Letters, 2023 - engineeringletters.com
This article is devoted to investigate the stability of nonlinear Markovian switched delay sub-
fractional stochastic systems. Firstly, we study the existence of global unique solution …

[PDF][PDF] Neural-rendezvous: Learning-based robust guidance and control to encounter interstellar objects

H Tsukamoto, SJ Chung, B Donitz… - AIAA Journal of …, 2022 - authors.library.caltech.edu
I objects (ISOs) represent one of the last unexplored classes of solar system objects. They
are active or inert objects passing through our solar system on an unbound hyperbolic …

A Two-Part Controller Synthesis Approach for Nonlinear Stochastic Systems Perturbed by L\'evy Noise Using Renewal Theory and HJB-Based Impulse Control

SJ Han, SJ Chung - arxiv preprint arxiv:2107.10441, 2021 - arxiv.org
We are motivated by the lack of discussion surrounding methodological control design
procedures for nonlinear shot and L\'evy noise stochastic systems to propose a hierarchical …