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We present a model predictive control (MPC) framework to solve the constrained nonlinear output regulation problem. The main feature of the proposed framework is that the application does not require the solution to classical regulator…

系统与控制 · 电气工程与系统科学 2021-06-02 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Harmonic inversion has already been proven to be a powerful tool for the analysis of quantum spectra and the periodic orbit orbit quantization of chaotic systems. The harmonic inversion technique circumvents the convergence problems of the…

混沌动力学 · 物理学 2009-10-31 K. Weibert , J. Main , G. Wunner

In this report we deal with the problem of global output feedback stabilization of a class of $n$-dimensional nonlinear positive systems possessing a one-dimensional unknown, though measured, part. We first propose our main result, an…

最优化与控制 · 数学 2016-08-16 Jean-Luc Gouzé , Olivier Bernard , Ludovic Mailleret

In this work, we consider the problem of estimating the probability distribution, the quantile or the conditional expectation above the quantile, the so called conditional-value-at-risk, of output quantities of complex random differential…

统计计算 · 统计学 2023-05-23 Quentin Ayoul-Guilmard , Sundar Ganesh , Sebastian Krumscheid , Fabio Nobile

In the field of quantum control, effective Hamiltonian engineering is a powerful tool that utilises perturbation theory to mitigate or enhance the effect that a variation in the Hamiltonian has on the evolution of the system. Here, we…

量子物理 · 物理学 2020-09-11 Holger Haas , Daniel Puzzuoli , Feihao Zhang , David G. Cory

Contraction analysis establishes exponential incremental convergence of a nonlinear system by solving a linear matrix inequality for a contraction metric, and has become a standard resource for solving problems in nonlinear control and…

动力系统 · 数学 2026-03-03 Winfried Lohmiller , Jean-Jacques Slotine

We study the efficiency of algorithms simulating a system evolving with Hamiltonian $H=\sum_{j=1}^m H_j$. We consider high order splitting methods that play a key role in quantum Hamiltonian simulation. We obtain upper bounds on the number…

量子物理 · 物理学 2010-10-12 Anargyros Papageorgiou , Chi Zhang

This study proposes a recursive and easy-to-implement algorithm to compute the score and Hessian matrix in general regime-switching models. We use simulation to compare the asymptotic variance estimates constructed from the Hessian matrix…

计量经济学 · 经济学 2026-01-13 Chaojun Li , Shi Qiu

Hamilton-Jacobi reachability methods for safety-critical control have been well studied, but the safety guarantees derived rely on the accuracy of the numerical computation. Thus, it is crucial to understand and account for any inaccuracies…

系统与控制 · 电气工程与系统科学 2022-12-15 Nikolaus Vertovec , Sina Ober-Blöbaum , Kostas Margellos

Handling model mismatch is a common challenge in model predictive control (MPC). While robust MPC is effective, its conservatism often makes it less desirable. Certainty-equivalence MPC (CE-MPC), which uses a nominal model, offers an…

最优化与控制 · 数学 2026-02-10 Changrui Liu , Shengling Shi , Bart De Schutter

Stochastic computing (SC) is an emerging computing technique which offers higher computational density, and lower power over binary-encoded (BE) computation. Unlike BE computation, SC encodes values as probabilistic bitstreams which makes…

新兴技术 · 计算机科学 2018-10-12 Vincent T. Lee , Armin Alaghi , Luis Ceze , Mark Oskin

By solving the Schr\"odinger equation one obtains the whole energy spectrum, both the bound and the continuum states. If the Hamiltonian depends on a set of parameters, these could be tuned to a transition from bound to continuum states.…

量子物理 · 物理学 2010-09-23 Sabre Kais

Loop acceleration can be used to prove safety, reachability, runtime bounds, and (non-)termination of programs operating on integers. To this end, a variety of acceleration techniques has been proposed. However, all of them are monolithic:…

计算机科学中的逻辑 · 计算机科学 2020-02-21 Florian Frohn

We provide a method to design adaptive controllers for nonlinear systems using model predictive control (MPC). By combining a certainty-equivalent MPC formulation with least-mean-square parameter adaptation, we obtain an adaptive controller…

最优化与控制 · 数学 2026-03-19 Johannes Köhler

It has been shown that a global minimizer of a smooth determinant of a matrix function corresponds to the largest cycle of a graph. When it exists, this is a Hamiltonian cycle. Finding global minimizers even of a smooth function is a…

最优化与控制 · 数学 2021-10-26 Michael Haythorpe , Walter Murray

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for…

系统与控制 · 计算机科学 2012-06-05 Corentin Briat

Unitary operations are the building blocks of quantum programs. Our task is to design effcient or optimal implementations of these unitary operations by employing the intrinsic physical resources of a given n-qubit system. The most common…

量子物理 · 物理学 2007-05-23 Robert Zeier , Markus Grassl , Thomas Beth

We study the recently introduced notion of output-input stability, which is a robust variant of the minimum-phase property for general smooth nonlinear control systems. The subject of this paper is developing the theory of output-input…

最优化与控制 · 数学 2007-05-23 Daniel Liberzon

This paper introduces an efficient algorithm for computing the general oscillatory matrix functions. These computations are crucial for solving second-order semi-linear initial value problems. The method is exploited using the scaling and…

数值分析 · 数学 2024-06-11 Dongping Li , Xue Wang , Xiuying Zhang

This paper proposes a hybrid-gain finite-time sliding-mode control (HG-FTSMC) strategy for a class of perturbed nonlinear systems. The controller combines a finite-time reaching law that drives the sliding variable to a predefined boundary…

系统与控制 · 电气工程与系统科学 2025-11-18 Amit Shivam , Kiran Kumari , Fernando A. C. C. Fontes