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Deterministic optimal impulse control problem with terminal state constraint is considered. Due to the appearance of the terminal state constraint, the value function might be discontinuous in general. The main contribution of this paper is…

Optimization and Control · Mathematics 2020-11-10 Yue Zhou , Xinwei Feng , Jiongmin Yong

In this paper we derive fundamental limitations on the levels of $H_2$ and $H_\infty{}$ performance that can be achieved when controlling lossless systems. The results are applied to the swing equation power system model, where it is shown…

Systems and Control · Electrical Eng. & Systems 2022-06-24 Johan Lindberg , Richard Pates

The Inexact Restoration approach has proved to be an adequate tool for handling the problem of minimizing an expensive function within an arbitrary feasible set by using different degrees of precision in the objective function. The Inexact…

Optimization and Control · Mathematics 2023-04-28 Ernesto G. Birgin , Natasa Krejić , José Mario Martínez

In this paper, we introduce a new concept of generalized convexity for E-differentiable vector optimization problems. Namely, the notion of exponentially E-invexity is defined. Further, some properties and results of exponentially E-invex…

Optimization and Control · Mathematics 2024-06-26 Najeeb Abdulaleem

We consider the error distribution in functional linear models with scalar response and functional covariate. Different asymptotic expansions of the empirical distribution function and the empirical characteristic function based on…

Methodology · Statistics 2025-12-01 Natalie Neumeyer , Leonie Selk

This letter aims to derive the exact relativistic orbital-free kinetic energy density functional for one-particle nuclear systems in one-dimensional case. The kinetic energy is expressed as a functional of both vector and scalar densities.…

Nuclear Theory · Physics 2025-12-25 X. H. Wu , Z. X. Ren , H. Z. Liang , P. W. Zhao

The paper focuses on the kinematics control of a compliant serial manipulator composed of a new type of dualtriangle elastic segments. Some useful optimization techniques were applied to solve the geometric redundancy problem, ensure the…

Robotics · Computer Science 2021-02-22 Wanda Zhao , Anatol Pashkevich , Alexandr Klimchik , Damien Chablat

This paper addresses the inverse optimal control problem of finding the state weighting function that leads to a quadratic value function when the cost on the input is fixed to be quadratic. The paper focuses on a class of infinite horizon…

Optimization and Control · Mathematics 2022-11-21 Luis Rodrigues

Deep Reinforcement Learning has shown significant progress in extracting useful representations from high-dimensional inputs albeit using hand-crafted auxiliary tasks and pseudo rewards. Automatically learning such representations in an…

Machine Learning · Computer Science 2023-06-28 Somjit Nath , Gopeshh Raaj Subbaraj , Khimya Khetarpal , Samira Ebrahimi Kahou

This work presents a novel algorithm for impulsive optimal control of linear time-varying systems with the inclusion of input magnitude constraints. Impulsive optimal control problems, where the optimal input solution is a sum of delta…

Optimization and Control · Mathematics 2026-03-17 Ethan Foss , Simone D'Amico

We present stability conditions for deterministic time-varying nonlinear discrete-time systems whose inputs aim to minimize an infinite-horizon time-dependent cost. Global asymptotic and exponential stability properties for general…

Systems and Control · Electrical Eng. & Systems 2023-08-28 Sifeddine Benahmed , Romain Postoyan , Mathieu Granzotto , Lucian Buşoniu , Jamal Daafouz , Dragan Nešić

We consider funnel control for linear infinite-dimensional systems that are impedance passive, meaning that they satisfy an energy balance in which the stored energy equals the squared norm of the state and the supplied power is the inner…

Optimization and Control · Mathematics 2025-10-02 Thavamani Govindaraj , Anthony Hastir , Lassi Paunonen , Timo Reis

This work's purpose is to understand the dynamics of some social systems whose properties can be captured by certain iterated function systems. To achieve this intension, we start from the theory of iterated function systems, and then we…

General Finance · Quantitative Finance 2016-09-20 Shilei Wang

Complex functions have multiple uses in various fields of study, so analyze their characteristics it is of extensive interest to other sciences. This work begins with a particular class of rational functions of a complex variable; over this…

Econometrics · Economics 2019-07-16 Guillermo Daniel Scheidereiter , Omar Roberto Faure

Output controllability and functional observability are properties that enable, respectively, the control and estimation of part of the state vector. These notions are of utmost importance in applications to high-dimensional systems, such…

Optimization and Control · Mathematics 2025-08-04 Arthur N. Montanari , Chao Duan , Adilson E. Motter

Dynamic programming is a class of algorithms used to compute optimal control policies for Markov decision processes. Dynamic programming is ubiquitous in control theory, and is also the foundation of reinforcement learning. In this paper,…

Category Theory · Mathematics 2023-08-01 Jules Hedges , Riu Rodríguez Sakamoto

This chapter deals with the design of dynamic allocation functions for systems with saturating actuators. The goal of the allocator consists in redistributing the desired control effort within the multiple actuators by penalizing each…

Optimization and Control · Mathematics 2024-07-12 Thiago Alves Lima , Sophie Tarbouriech

This contribution considers one central aspect of experiment design in system identification. When a control design is based on an estimated model, the achievable performance is related to the quality of the estimate. The degradation in…

Systems and Control · Computer Science 2013-03-22 Afrooz Ebadat , Mariette Annergren , Christian A. Larsson , Cristian R. Rojas , Bo Wahlberg

Novel nonlinear damping control is proposed for the second-order systems. The proportional output feedback is combined with the damping term which is quadratic to the output derivative and inverse to the set-point distance. The global…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Michael Ruderman

This paper considers the problem of designing a continuous-time dynamical system that solves a constrained nonlinear optimization problem and makes the feasible set forward invariant and asymptotically stable. The invariance of the feasible…

Optimization and Control · Mathematics 2024-08-27 Ahmed Allibhoy , Jorge Cortés