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This paper proposes an observer-based formation tracking control approach for multi-vehicle systems with second-order motion dynamics, assuming that vehicles' relative or global position and velocity measurements are unavailable. It is…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Zhiqi Tang , Baris Fidan , Karl H. Johansson , Jonas Martensson , Tarek Hamel

This paper studies the robustness of observability of a linear time-invariant system under sensor failures from a computational perspective. To be precise, the problem of determining the minimum number of sensors whose removal can destroy…

Optimization and Control · Mathematics 2023-07-18 Yuan Zhang , Yuanqing Xia , Kun Liu

We study black-box testing for stochastic systems and arbitrary $\omega$-regular specifications, explicitly including liveness properties. We are given a finite-state probabilistic system that we can only execute from the initial state. We…

Formal Languages and Automata Theory · Computer Science 2024-06-05 Javier Esparza , Vincent Grande

We develop a non-collocated, observer-based output-feedback law for a class of continua of linear hyperbolic PDE systems, which are viewed as the continuum version of $n+m$, general heterodirectional hyperbolic systems as $n\to\infty$. The…

Optimization and Control · Mathematics 2025-03-12 Jukka-Pekka Humaloja , Nikolaos Bekiaris-Liberis

We extend the concepts of quantum complete synchronization and phase synchronization, which are proposed firstly in [Phys. Rev. Lett, 111 103605 (2013)], to more widespread quantum generalized synchronization. The generalized…

Quantum Physics · Physics 2016-07-20 Wenlin Li , Chong Li , Heshan Song

This paper studies linear time-invariant descriptor systems which are not necessarily regular. We introduce the notion of partial detectability and characterize this concept by means of a simple rank criterion involving the system…

Optimization and Control · Mathematics 2023-01-25 Juhi Jaiswal , Thomas Berger , Nutan Kumar Tomar

We develop a functional-analytic characterization of output tracking controllability for finite-dimensional linear systems. By formulating tracking as the surjectivity of the control-to-output map on suitable trajectory spaces, we show that…

Optimization and Control · Mathematics 2026-02-11 Sebastián Zamorano , Enrique Zuazua

The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllabil-ity problem is the main tool. It is based on an explicit expression of a…

Optimization and Control · Mathematics 2015-12-29 Rabah Rabah , Grigory Sklyar

The controllability and observability of Boolean control network(BCN) are two fundamental properties. But the verification of latter is much harder than the former. This paper considers the observability of BCN via controllability. First,…

Optimization and Control · Mathematics 2018-01-03 Daizhan Cheng , Changxi Li , Fenghua He

Reachability analysis of hybrid systems has been used as a safety verification tool to assess offline whether the state of a system is capable of remaining within a designated safe region for a given time horizon. Although it has been…

Optimization and Control · Mathematics 2014-04-24 Kendra Lesser , Meeko Oishi

Hyperproperties are properties that describe the correctness of a system as a relation between multiple executions. Hyperproperties generalize trace properties and include information-flow security requirements, like noninterference, as…

Logic in Computer Science · Computer Science 2020-10-14 Rayna Dimitrova , Bernd Finkbeiner , Hazem Torfah

Several concepts on the measure of observability, reachability, and robustness are defined and illustrated for both linear and nonlinear control systems. Defined by using computational dynamic optimization, these concepts are applicable to…

Optimization and Control · Mathematics 2009-07-17 Wei Kang , Liang Xu

In this technical communique, we generalize the well-known Lyapunov-based stabilizability and detectability tests for discrete-time linear time-invariant systems to polytopic linear parameter-varying systems using the class of so-called…

Optimization and Control · Mathematics 2026-02-03 T. J. Meijer , V. S. Dolk , W. P. M. H. Heemels

This paper is devoted to the study of controllability of linear systems on generalized Heisenberg groups. Some general necessary controllability conditions and some sufficient ones are provided. We introduce the notion of decoupled systems,…

Optimization and Control · Mathematics 2015-10-15 Mouhamadou Dath , Philippe Jouan

This paper provides the extension of the observability rank condition and the extension of the controllability rank condition to time-varying nonlinear systems. Previous conditions to check the state observability and controllability, only…

Optimization and Control · Mathematics 2020-03-24 Agostino Martinelli

The supervisory control of probabilistic discrete event systems (PDESs) is investigated under the assumptions that the supervisory controller (supervisor) is probabilistic and has a partial observation. The probabilistic P-supervisor is…

Systems and Control · Computer Science 2018-05-21 Weilin Deng , Jingkai Yang , Daowen Qiu

Partially Observable Markov Decision Processes (POMDPs) provide a principled framework for robot decision-making under uncertainty. Solving reach-avoid POMDPs, however, requires coordinating three distinct behaviors: goal reaching, safety,…

Robotics · Computer Science 2026-05-06 Matti Vahs , Joris Verhagen , Jana Tumova

An observability problem for linear autonomous distributed systems in the class of linear operations is considered. A criterion of observability with respect to terminal state has been proved. A connection with observability with respect to…

solv-int · Physics 2008-02-03 B. Shklyar

Probabilistic partial observability is a phenomenon occuring when computer systems are deployed in environments that behave probabilistically and whose exact state cannot be fully observed. In this work, we lay the theoretical groundwork…

Logic in Computer Science · Computer Science 2025-06-17 Tobias Gürtler , Benjamin Lucien Kaminski

This letter investigates the design of a class of infinite-dimensional observers for one dimensional (1D) boundary controlled port-Hamiltonian systems (BC-PHS) defined by differential operators of order $N \geq 1$. The convergence of the…

Systems and Control · Electrical Eng. & Systems 2023-05-18 Jesus-Pablo Toledo-Zucco , Yongxin Wu , Hector Ramirez , Yann Le Gorrec