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Motion planning for robotic systems with complex dynamics is a challenging problem. While recent sampling-based algorithms achieve asymptotic optimality by propagating random control inputs, their empirical convergence rate is often poor,…

Robotics · Computer Science 2023-11-08 Joaquim Ortiz-Haro , Wolfgang Hoenig , Valentin N. Hartmann , Marc Toussaint

The ever increasing complexity of real-time control systems results in significant deviations in the timing of sensing and actuation, which may lead to degraded performance or even instability. In this paper we present a method to analyze…

Systems and Control · Electrical Eng. & Systems 2020-04-27 Maximilian Gaukler , Günter Roppenecker , Peter Ulbrich

This paper presents an approach to deal with safety of dynamical systems in presence of multiple non-convex unsafe sets. While optimal control and model predictive control strategies can be employed in these scenarios, they suffer from high…

Systems and Control · Electrical Eng. & Systems 2021-06-14 Gennaro Notomista , Matteo Saveriano

We study a class of polynomial optimization problems with a robust polynomial matrix inequality (PMI) constraint where the uncertainty set itself is defined also by a PMI. These can be viewed as matrix generalizations of semi-infinite…

Optimization and Control · Mathematics 2024-10-10 Feng Guo , Jie Wang

This work presents a hybrid approach to solve the maximum stable set problem, using constraint and semidefinite programming. The approach consists of two steps: subproblem generation and subproblem solution. First we rank the variable…

Combinatorics · Mathematics 2007-05-23 W. J. van Hoeve

Bilinear matrix inequality (BMI) problems in system and control designs are investigated in this paper. A solution method of reduction of variables (MRVs) is proposed. This method consists of a principle of variable classification, a…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Wei-Yu Chiu

Can AI agents deal with hard choices -- cases where options are incommensurable because multiple objectives are pursued simultaneously? Adopting a technologically engaged approach distinct from existing philosophical literature, I submit…

Artificial Intelligence · Computer Science 2026-04-21 Kangyu Wang

This paper deals with sliding mode control for multivariable polytopic uncertain systems. We provide systematic procedures to design variable structure controllers (VSCs) and unit-vector controllers (UVCs). Based on suitable representations…

Optimization and Control · Mathematics 2024-11-21 Pedro Henrique Silva Coutinho , Iury Bessa , Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira

In this work, we will investigate the question of optimal control for bilinear systems with constrained endpoint. The optimal control will be characterized through a set of unconstrained minimization problems that approximate the former.…

Optimization and Control · Mathematics 2021-07-28 Soufiane Yahyaoui , Lahoussine Lafhim , Mohamed Ouzahra

This work studies the planning problem for robotic systems under both quantifiable and unquantifiable uncertainty. The objective is to enable the robotic systems to optimally fulfill high-level tasks specified by Linear Temporal Logic (LTL)…

Robotics · Computer Science 2025-02-28 Pian Yu , Yong Li , David Parker , Marta Kwiatkowska

Constrained submodular set function maximization problems often appear in multi-agent decision-making problems with a discrete feasible set. A prominent example is the problem of multi-agent mobile sensor placement over a discrete domain.…

Optimization and Control · Mathematics 2021-08-02 Navid Rezazadeh , Solmaz S. Kia

We present a branch-and-bound algorithm for globally solving parabolic optimal control problems with binary switches that have bounded variation and possibly need to satisfy further combinatorial constraints. More precisely, for a given…

Optimization and Control · Mathematics 2024-01-19 Christoph Buchheim , Alexandra Grütering , Christian Meyer

We consider the problem of chance constrained optimization where it is sought to optimize a function and satisfy constraints, both of which are affected by uncertainties. The real world declinations of this problem are particularly…

We explore a multiple-stage variant of the min-max robust selection problem with budgeted uncertainty that includes queries. First, one queries a subset of items and gets the exact values of their uncertain parameters. Given this…

Optimization and Control · Mathematics 2025-01-07 Xiaoyu Chen , Marc Goerigk , Michael Poss

We present a method for determining optimal modes of operation for autonomously oscillating systems with uncertain parameters. In a typical application of the method, a nonlinear dynamical system is optimized with respect to an economic…

Dynamical Systems · Mathematics 2013-08-20 Darya Kastsian , Martin Mönnigmann

The recently emerged movable antenna (MA) shows great promise in leveraging spatial degrees of freedom to enhance the performance of wireless systems. However, resource allocation in MA-aided systems faces challenges due to the nonconvex…

Signal Processing · Electrical Eng. & Systems 2025-03-05 Yichen Jin , Qingfeng Lin , Yang Li , Hancheng Zhu , Bingyang Cheng , Yik-Chung Wu , Rui Zhang

Multi-beam selection is one of the crucial technologies in hybrid beamforming systems for frequency-selective fading channels. Addressing the problem in the frequency domain facilitates the procedure of acquiring observations for analog…

Information Theory · Computer Science 2018-11-30 Hsiao-Lan Chiang , Wolfgang Rave , Gerhard Fettweis

Bender et al. (SPAA 2013) have proposed a theoretical framework for testing in contexts where safety mistakes must be avoided. Testing in such a context is made by machines that need to be often calibrated. Given that calibration costs, it…

Data Structures and Algorithms · Computer Science 2020-02-05 Eric Angel , Evripidis Bampis , Vincent Chau , Vassilis Zissimopoulos

We study the labeled multi-robot path planning problem in continuous 2D and 3D domains in the absence of obstacles where robots must not collide with each other. For an arbitrary number of robots in arbitrary initial and goal arrangements,…

Multiagent Systems · Computer Science 2018-03-01 Shuai D. Han , Edgar J. Rodriguez , Jingjin Yu

Porous media processes involve various physical phenomena such as mechanical deformation, transport, and fluid flow. Accurate simulations must capture the strong couplings between these phenomena. Choosing an efficient solver for the…

Numerical Analysis · Mathematics 2025-10-14 Yury Zabegaev , Eirik Keilegavlen , Einar Iversen , Inga Berre