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A novel delayed feedback control based on full state is proposed. The designed scheme combines the difference between two delayed states and a periodic control gain. System stabilization is achieved in any hyperbolic unstable equilibrium…

Dynamical Systems · Mathematics 2024-06-18 Verónica E. Pastor , Graciela A. González

Chaotic itinerancy is a frequently observed phenomenon in high-dimensional and nonlinear dynamical systems, and it is characterized by the random transitions among multiple quasi-attractors. Several studies have revealed that chaotic…

Robotics · Computer Science 2022-12-06 Katsuma Inoue , Kohei Nakajima , Yasuo Kuniyoshi

Control systems are critical to modern technological infrastructure, spanning industries from aerospace to healthcare. This survey explores the landscape of safe robot learning, investigating methods that balance high-performance control…

Robotics · Computer Science 2025-01-06 Bassel El Mabsout

The transient chaos regime in a two-dimensional system with discrete time (Eno map) is considered. It is demonstrated that a time series corresponding to this regime differs from a chaotic series constructed for close values of the control…

Chaotic Dynamics · Physics 2015-06-26 G. B. Astaf'ev , A. A. Koronovskii , A. E. Hramov

This paper aims to cast some new light on controlling chaos using the OGY- and the Zero-Spectral-Radius methods. In deriving those methods we use a generalized procedure differing from the usual ones. This procedure allows us to…

Chaotic Dynamics · Physics 2015-06-26 Philippe Chanfreau , Hannu Lyyjynen

We present safe control of partially-observed linear time-varying systems in the presence of unknown and unpredictable process and measurement noise. We introduce a control algorithm that minimizes dynamic regret, i.e., that minimizes the…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Hongyu Zhou , Vasileios Tzoumas

In systems where the ability to actuate is a scarce resource, e.g., spacecrafts, it is desirable to only apply a given controller in an intermittent manner--with periods where the controller is on and periods where it is off. Motivated by…

Systems and Control · Electrical Eng. & Systems 2022-04-08 Pio Ong , Gilbert Bahati , Aaron D. Ames

The OGY method is one of control methods for a chaotic system. In the method, we have to calculate a stabilizing periodic orbit embedded in its chaotic attractor. Thus, we cannot use this method in the case where a precise mathematical…

Systems and Control · Electrical Eng. & Systems 2019-08-27 Junya Ikemoto , Toshimitsu Ushio

We consider the problem of a semiclassical description of quantum chaotic transport, when a tunnel barrier is present in one of the leads. Using a semiclassical approach formulated in terms of a matrix model, we obtain transport moments as…

Chaotic Dynamics · Physics 2022-07-06 Pedro H. S. Bento , Marcel Novaes

We study the application of a generalized form of the level set method used in classical physical contexts to quantum optimal control situations. The set of OCT equations needed to keep the expectation value of an observable constant is…

Quantum Physics · Physics 2007-05-23 Fariel Shafee

Impulsive control is used to suppress the chaotic behavior in an one-dimensional discrete supply and demand dynamical system. By perturbing periodically the state variable with constant impulses, the chaos can be suppressed. It is proved…

Chaotic Dynamics · Physics 2019-10-03 M. -F. Danca , M. Feckan

By sending many two-level atoms through a cavity resonant with the atomic transition, and letting the interaction times between the atoms and the cavity be randomly distributed, we end up with a predetermined Fock state of the…

Quantum Physics · Physics 2007-05-23 M. Fortunato , G. Kurizki , W. P. Schleich

Safety is a critical property for control systems in medicine, transportation, manufacturing, and other applications, and can be defined as ensuring positive invariance of a predefined safe set. This paper investigates the problems of…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Andrew Clark

We introduce a protocol for dynamical dispersion engineering in an atomic chain consisting of an ordered array of multi-level atoms with subwavelength lattice constant. This chain supports dark states that are protected from dissipation in…

Quantum Physics · Physics 2022-04-15 R. Gutiérrez-Jáuregui , A. Asenjo-Garcia

Safe autonomy is a critical requirement and a key enabler for robots to operate safely in unstructured complex environments. Control barrier functions and safe motion corridors are two widely used but technically distinct safety methods,…

Robotics · Computer Science 2026-03-09 Ömür Arslan , Nikolay Atanasov

The research concerns the dynamics of complex autonomous Kauffman networks. The article defines and shows using simulation experiments half-chaotic networks, which exhibit features much more similar to typically modeled systems like a…

Adaptation and Self-Organizing Systems · Physics 2022-01-14 Andrzej Gecow

In this work, we demonstrate the open-loop control of chaotic systems by means of optimized periodic signals. The use of such signals enables us to reduce control power significantly in comparison to simple harmonic perturbations. It is…

chao-dyn · Physics 2009-10-28 Robert Mettin , Thomas Kurz

This paper aims to improve the action smoothness of a cascaded online learning flight control system. Although the cascaded structure is widely used in flight control design, its stability can be compromised by oscillatory control actions,…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Yifei Li , Erik-jan van Kampen

The thermodynamic formalism for dynamical systems with many degrees of freedom is extended to deal with time averages and fluctuations of some macroscopic quantity along typical orbits, and applied to coupled map lattices exhibiting phase…

Statistical Mechanics · Physics 2007-05-23 Kazumasa Takeuchi , Masaki Sano

Control barrier functions (CBFs) have recently been introduced as a systematic tool to ensure safety by establishing set invariance. When combined with a control Lyapunov function (CLF), they form a safety-critical control mechanism.…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Mohammad Aali , Jun Liu