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In this paper, we present a method of applying integral action to enhance the robustness of energy shaping controllers for underactuated mechanical systems with matched disturbances. Previous works on this problem have required a number of…

Systems and Control · Computer Science 2017-09-01 Joel Ferguson , Alejandro Donaire , Romeo Ortega , Richard H. Middleton

In the present note, we give two examples of bilinear quantum systems showing good agreement between the total variation of the control and the variation of the energy of solutions, with bounded or unbounded coupling term. The corresponding…

Optimization and Control · Mathematics 2013-03-15 Nabile Boussaid , Marco Caponigro , Thomas Chambrion

A notion of alternating timed automata is proposed. It is shown that such automata with only one clock have decidable emptiness problem over finite words. This gives a new class of timed languages which is closed under boolean operations…

Logic in Computer Science · Computer Science 2007-05-23 Slawomir Lasota , Igor Walukiewicz

Variational systems allow effective building of many custom variants by using features (configuration options) to mark the variable functionality. In many of the applications, their quality assurance and formal verification are of paramount…

Logic in Computer Science · Computer Science 2018-03-06 Aleksandar S. Dimovski

This paper over-approximates the reachable sets of a continuous-time uncertain system using the sensitivity of its trajectories with respect to initial conditions and uncertain parameters. We first prove the equivalence between an existing…

Systems and Control · Computer Science 2021-04-09 Pierre-Jean Meyer , Samuel Coogan , Murat Arcak

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

Systems and Control · Computer Science 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen

This work presents a new sufficient condition for synthesizing nonlinear controllers that yield bounded closed-loop tracking error transients despite the presence of unmatched uncertainties that are concurrently being learned online. The…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Samuel G. Gessow , Brett T. Lopez

Completeness and transitivity are standard rationality conditions in economics. However, under ambiguity, decision makers sometimes violate these requirements because of the difficulty of forming accurate predictions about ambiguous events.…

Theoretical Economics · Economics 2025-09-16 Kensei Nakamura , Shohei Yanagita

In complete analogy with the classical situation (which is briefly reviewed) it is possible to define bi-Hamiltonian descriptions for Quantum systems. We also analyze compatible Hermitian structures in full analogy with compatible Poisson…

Mathematical Physics · Physics 2009-11-11 G. Marmo , G. Scolarici , A. Simoni , F. Ventriglia

Some new identities for quantum variance and covariance involving commutators are presented, in which the density matrix and the operators are treated symmetrically. A measure of entanglement is proposed for bipartite systems, based on…

Quantum Physics · Physics 2009-11-06 R I A Davis , R Delbourgo , P D Jarvis

Control systems should enforce a desired property for both expected modeled situations as well as unexpected unmodeled environmental situations. Existing methods focus on designing controllers to enforce the desired property only when the…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Rômulo Meira-Góes , Eunsuk Kang , Stéphane Lafortune , Stavros Tripakis

Fusions are a simple way of combining logics. For normal modal logics, fusions have been investigated in detail. In particular, it is known that, under certain conditions, decidability transfers from the component logics to their fusion.…

Artificial Intelligence · Computer Science 2011-06-10 F. Baader , C. Lutz , H. Sturm , F. Wolter

The use of available disturbance predictions within a nominal model predictive control formulation is studied. The main challenge that arises is the loss of recursive feasibility and stability guarantees when a persistent disturbance is…

Systems and Control · Computer Science 2018-07-31 Pablo R Baldivieso-Monasterios , Paul A. Trodden

Access control is fundamental to computer security, and has thus been the subject of extensive formal study. In particular, *relative expressiveness analysis* techniques have used formal mappings called *simulations* to explore whether one…

Cryptography and Security · Computer Science 2015-05-05 William C. Garrison , Adam J. Lee

In this paper, we develop a compositional approach to abstraction and safety synthesis for a general class of discrete time nonlinear systems. Our approach makes it possible to define a symbolic abstraction by composing a set of symbolic…

Systems and Control · Computer Science 2021-04-09 Pierre-Jean Meyer , Antoine Girard , Emmanuel Witrant

This paper investigates the supervisory control of nondeterministic discrete event systems to enforce bisimilarity with respect to deterministic specifications. A notion of synchronous simulation-based controllability is introduced as a…

Systems and Control · Computer Science 2012-03-09 Yajuan Sun , Hai Lin , Ben M. Chen

We apply measures of complexity, emergence and self-organization to an abstract city traffic model for comparing a traditional traffic coordination method with a self-organizing method in two scenarios: cyclic boundaries and non-orientable…

In this paper we propose a compositional scheme for the construction of abstractions for networks of control systems using the interconnection matrix and joint dissipativity-type properties of subsystems and their abstractions. In the…

Optimization and Control · Mathematics 2016-12-30 Majid Zamani , Murat Arcak

There are several different common definitions of a property in topological dynamics called "topological transitivity," and it is part of the folklore of dynamical systems that under reasonable hypotheses, they are equivalent. Various…

Dynamical Systems · Mathematics 2012-04-27 Ethan Akin , Jeffrey D. Carlson

This paper is devoted to the controllability analysis of a class of linear control systems in a Hilbert space. It is proposed to use the minimum energy controls of a reduced lumped parameter system for solving the infinite dimensional…

Optimization and Control · Mathematics 2018-03-02 Alexander Zuyev