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In this paper, we introduce novel equations that are dual to the ones of the well-known invariant ellipsoids method. These equations yield ellipsoids with newly established geometrical interpretations and connections to linear system norms.…

Optimization and Control · Mathematics 2023-08-29 Alexey Peregudin , Igor Furtat

We study the exact linearization of configuration flat Lagrangian control systems with p degrees of freedom and p-1 inputs by quasi-static feedback of classical states. First, we present a detailed analysis of the structure of the…

Dynamical Systems · Mathematics 2024-11-05 Georg Hartl , Conrad Gstöttner , Bernd Kolar , Markus Schöberl

Model-free algorithms are brought into the control system's research with the emergence of reinforcement learning algorithms. However, there are two practical challenges of reinforcement learning-based methods. First, learning by…

Systems and Control · Electrical Eng. & Systems 2024-09-18 Mi Zhou , Erik Verriest , Chaouki Abdallah

In this paper, the application of Ledley antecedence solutions in designing state feedback stabilizers of generic logic systems has been proposed. To make the method feasible, two modifications are made to the original Ledley antecedence…

Logic · Mathematics 2020-11-30 Yingzhe Jia , Daizhan Cheng , Jun-e Feng

Column generation is a widely used decomposition technique for large-scale linear programs, but it often suffers from slow convergence due to poor initial dual estimates and dual oscillations. Stabilization techniques such as smoothing and…

Optimization and Control · Mathematics 2026-05-08 Olivia Wang , Reem Khir

This paper surveys some recent results on the theory of quantum linear systems and presents them within a unified framework. Quantum linear systems are a class of systems whose dynamics, which are described by the laws of quantum mechanics,…

Quantum Physics · Physics 2016-03-17 Ian R. Petersen

In this paper, we provide a systematic approach for the design of stabilizing feedback controllers for nonlinear control systems using the Koopman operator framework. The Koopman operator approach provides a linear representation for a…

Optimization and Control · Mathematics 2018-10-02 Bowen Huang , Xu Ma , Umesh Vaidya

For linear control systems with bounded control range, the state space is compactified using the Poincar\'e sphere. The linearization of the induced control flow allows the construction of invariant manifolds on the sphere and of…

Optimization and Control · Mathematics 2025-05-05 Fritz Colonius , Alexandre J. Santana

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

Optimization and Control · Mathematics 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

In the realm of autonomous vehicle technologies and advanced driver assistance systems, precise and reliable path tracking controllers are vital for safe and efficient navigation. However the presence of dead time in the vehicle control…

Systems and Control · Electrical Eng. & Systems 2025-07-10 Karin Festl , Michael Stolz

The purpose of this paper is to present a theoretic and numerical study of utilizing squeezing and phase shift in coherent feedback control of linear quantum optical systems. A quadrature representation with built-in phase shifters is…

Quantum Physics · Physics 2012-06-19 Guofeng Zhang , Heung Wing Joseph Lee , Bo Huang , Hu Zhang

This paper studies the inverse optimal control problem for continuous-time linear quadratic regulators over finite-time horizon, aiming to reconstruct the control, state, and terminal cost matrices in the objective function from observed…

Optimization and Control · Mathematics 2025-10-07 Yuexin Cao , Yibei Li , Zhuo Zou , Xiaoming Hu

We propose a new controllability property for linear time varying control systems in finite dimension: the nonuniform complete controllability, which is halfway between the classical Kalman's properties of complete controllability and…

Optimization and Control · Mathematics 2024-10-08 Ignacio Huerta , Pablo Monzón , Gonzalo Robledo

This paper demonstrates the first application of feedback linearization to replicator dynamics, driving the evolution of non-convergent evolutionary games to systems with guaranteed global asymptotic stability.

Systems and Control · Electrical Eng. & Systems 2025-08-19 Adil Faisal

Optimal control problems involving hybrid binary-continuous control costs are challenging due to their lack of convexity and weak lower semicontinuity. Replacing such costs with their convex relaxation leads to a primal-dual optimality…

Optimization and Control · Mathematics 2017-02-27 Christian Clason , Kazufumi Ito , Karl Kunisch

To address feasibility issues in model predictive control (MPC), most implementations relax state constraints by using slack variables and adding a penalty to the cost. We propose an alternative strategy: relaxing the initial state…

Optimization and Control · Mathematics 2026-02-18 Johannes Köhler , Melanie N. Zeilinger

A novel method for control of dynamical systems, proposed in the paper, ensures an output signal belonging to the given set at any time. The method is based on a special change of coordinates such that the initial problem with given…

Systems and Control · Electrical Eng. & Systems 2019-12-19 Igor Furtat

This paper introduces a new approach for output feedback stabilization of SISO systems which, unlike most of the techniques found in the literature, does not use high-gain observers and control input saturation to achieve separation between…

Optimization and Control · Mathematics 2007-05-23 Manfredi Maggiore , Kevin Passino

In this paper, the compact linearization approach originally proposed for binary quadratic programs with assignment constraints is generalized to such programs with arbitrary linear equations and inequalities that have positive coefficients…

Optimization and Control · Mathematics 2018-08-28 Sven Mallach

Synchronization control in arrays of identical output-coupled continuous-time linear systems is studied. Sufficiency of new conditions for the existence of a synchronizing feedback law are analyzed. It is shown that for neutrally stable…

Dynamical Systems · Mathematics 2008-11-24 S. Emre Tuna