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This paper proposes a finitely terminating algorithm to solve reach-and-stay control problems for nonlinear systems. The algorithm is guaranteed to return a control strategy if the specification is robustly realizable. Such a feature is…

Optimization and Control · Mathematics 2020-04-17 Yinan Li , Jun Liu

A systematic scheme is proposed to numerically estimate the quantum speed limit and temporal shape of optimal control in two-level and three-level quantum systems with bounded amplitude. For the two-level system, two quantum state…

Quantum Physics · Physics 2023-05-02 Xikun Li

Semiautomata form a rich class of sequence-processing algorithms with applications in natural language processing, robotics, computational biology, and data mining. We establish the first Statistical Query hardness result for semiautomata…

Machine Learning · Computer Science 2025-10-07 George Giapitzakis , Kimon Fountoulakis , Eshaan Nichani , Jason D. Lee

Our goal is to provide different semiring-based formal tools for the specification of security requirements: we quantitatively enhance the open-system approach, according to which a system is partially specified. Therefore, we suppose the…

Logic in Computer Science · Computer Science 2015-09-30 Fabio Martinelli , Ilaria Matteucci , Francesco Santini

This paper investigates the problem of distributed nonblocking supervisory control for timed discrete-event systems (DESs). The distributed supervisors communicate with each other over networks subject to nondeterministic communication…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Yunfeng Hou , Qingdu Li

Quantitative languages are an extension of boolean languages that assign to each word a real number. Mean-payoff automata are finite automata with numerical weights on transitions that assign to each infinite path the long-run average of…

Logic in Computer Science · Computer Science 2015-05-19 Krishnendu Chatterjee , Laurent Doyen , Herbert Edelsbrunner , Thomas A. Henzinger , Philippe Rannou

A quantitative word automaton (QWA) defines a function from infinite words to values. For example, every infinite run of a limit-average QWA A obtains a mean payoff, and every word w is assigned the maximal mean payoff obtained by…

Formal Languages and Automata Theory · Computer Science 2026-03-31 Thomas A. Henzinger , Pavol Kebis , Nicolas Mazzocchi , N. Ege Saraç

Weighted automata are nondeterministic automata with numerical weights on transitions. They can define quantitative languages $L$ that assign to each word $w$ a real number $L(w)$. In the case of infinite words, the value of a run is…

Logic in Computer Science · Computer Science 2009-05-15 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger

Hyperproperties lift conventional trace properties from a set of execution traces to a set of sets of execution traces. Hyperproperties have been shown to be a powerful formalism for expressing and reasoning about information-flow security…

Formal Languages and Automata Theory · Computer Science 2020-02-25 Borzoo Bonakdarpour , Sarai Sheinvald

We propose an on-line supervisory control scheme for discrete event systems (DESs), where a control specification is described by a fragment of linear temporal logic. On the product automaton of the DES and an acceptor for the…

Systems and Control · Electrical Eng. & Systems 2020-03-27 Ami Sakakibara , Toshimitsu Ushio

Jumping automata are finite automata that read their input in a non-sequential manner, by allowing a reading head to ``jump'' between positions on the input, consuming a permutation of the input word. We argue that allowing the head to jump…

Formal Languages and Automata Theory · Computer Science 2026-01-07 Shaull Almagor , Neta Dafni , Ishai Salgado

We define a language-independent model of nondeterministic quantum programs in which a quantum program consists of a finite set of quantum processes. These processes are represented by quantum Markov chains over the common state space. An…

Logic in Computer Science · Computer Science 2012-01-05 Yangjia Li , Nengkun Yu , Mingsheng Ying

In this paper we consider the problem of unambiguous discrimination between a set of linearly independent pure quantum states. We show that the design of the optimal measurement that minimizes the probability of an inconclusive result can…

Quantum Physics · Physics 2016-11-17 Yonina C. Eldar

We introduce a novel algorithm for the task of coherently controlling a quantum mechanical system to implement any chosen unitary dynamics. It performs faster than existing state of the art methods by one to three orders of magnitude…

Quantum Physics · Physics 2015-06-04 Pierre de Fouquieres

Construction of a fault-tolerant quantum computer remains a challenging problem due to unavoidable noise in quantum states and the fragility of quantum entanglement. However, most of the error-correcting codes increases the complexity of…

Quantum Physics · Physics 2022-10-28 Kumar Nilesh , Piyush Joshi , Prasanta Panigrahi

Due to the appearance of uncontrollable events in discrete event systems, one may wish to replace the behavior leading to the uncontrollability of pre-specified language by some quite similar one. To capture this similarity, we introduce…

Discrete Mathematics · Computer Science 2007-05-23 Yongzhi Cao , Mingsheng Ying

Although autonomous functioning facilitates deployment of robotic systems in domains that admit limited human oversight on our planet and beyond, finding correspondence between task requirements and autonomous capability is still an open…

Robotics · Computer Science 2024-04-12 Nasser Gyagenda , Hubert Roth

In this paper we present a new approach to decentralized supervisory control of large automata with communicating supervisors. We first generalize the recently developed top-down architecture of multilevel coordination control with a…

Optimization and Control · Mathematics 2014-03-21 Jan Komenda , Tomáš Masopust

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

Optimization and Control · Mathematics 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

Automata with monitor counters, where the transitions do not depend on counter values, and nested weighted automata are two expressive automata-theoretic frameworks for quantitative properties. For a well-studied and wide class of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop