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A wide range of implicit time integration methods, including multi-step, implicit Runge-Kutta, and Galerkin finite-time element schemes, is evaluated in the context of chaotic dynamical systems. The schemes are applied to solve the Lorenz…

Computational Physics · Physics 2024-01-02 Viktoriya Morozova , James G. Coder , Kevin Holst

Secure communication using hyperchaos has a better potential performance, but hyperchaotic impulse circuits synchronization is a challenging task. In this paper, an impulse control method is proposed for the synchronization of two…

Chaotic Dynamics · Physics 2021-03-10 Hai-Peng Ren , Kun Tian , Chao Bai

This paper deals with the chaotic oscillator synchronization. A new approach to the synchronization of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii

This paper presents a novel adaptive multivariable smooth second-order sliding mode approach with the features of fast finite-time convergence, adaptation to disturbances and smooth. This approach can be directly applied to the controller…

Systems and Control · Electrical Eng. & Systems 2020-10-13 Xidong Wang

We address the problem of coordination and control of Connected and Automated Vehicles (CAVs) in the presence of imperfect observations in mixed traffic environment. A commonly used approach is learning-based decision-making, such as…

Robotics · Computer Science 2024-09-25 Zhili Zhang , H M Sabbir Ahmad , Ehsan Sabouni , Yanchao Sun , Furong Huang , Wenchao Li , Fei Miao

We analyze robust stability, in an input-output sense, of switched stable systems. The primary goal (and contribution) of this paper is to design switching strategies to guarantee that input-output stable systems remain so under switching.…

Optimization and Control · Mathematics 2009-06-03 Denis Efimov , Elena Panteley , Antonio Loria

The present paper explores the synchronization scenario of hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment. We show that depending upon the coupling parameters a hyperchaotic time-delayed system…

Chaotic Dynamics · Physics 2013-07-23 Tanmoy Banerjee , Debabrata Biswas

This paper studies the rapid stabilization of a multidimensional heat equation in the presence of an unknown spatially localized disturbance. A novel multivalued feedback control strategy is proposed, which synthesizes the frequency…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Patricio Guzmán , Hugo Parada , Christian Calle-Cárdenas

This paper presents a novel hybrid control protocol for de-conflicting multiple vehicles with constraints on control inputs. We consider turning rate and linear speed constraints to represent fixed-wing or car-like vehicles. A set of…

Systems and Control · Computer Science 2021-06-11 Kunal Garg , Dimitra Panagou

Hybrid systems are prevalent in robotics. However, ensuring the stability of hybrid systems is challenging due to sophisticated continuous and discrete dynamics. A system with all its system modes stable can still be unstable. Hence special…

Robotics · Computer Science 2023-03-21 Yue Meng , Chuchu Fan

A novel representation of reset control systems with a zero-crossing resetting law, in the framework of hybrid inclusions, is postulated. The problems of well-posedness and stability of the resulting hybrid dynamical system are…

Systems and Control · Electrical Eng. & Systems 2021-05-31 Alfonso Baños , Antonio Barreiro

In this paper we investigate a master-slave synchronization scheme of two n-dimensional non-autonomous chaotic systems coupled by sinusoidal state error feedback control, where parameter mismatch exists between the external harmonic…

Chaotic Dynamics · Physics 2009-09-30 Jianping Cai , Mihua Ma , Xiaofeng Wu

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

In this work, we introduce a new three-dimensional chaotic differential dynamical system. We find equilibrium points of this system and provide the stability conditions for various fractional orders. Numerical simulations will be used to…

Chaotic Dynamics · Physics 2020-07-08 Madhuri Patil , Sachin Bhalekar

Complex dynamical networks appear in a wide range of physical, biological, and engineering systems. The coupling of subsystems with varying time scales often results in multirate behavior. During the simulation of highly integrated…

Numerical Analysis · Mathematics 2015-04-27 Stefan Klus

The distributed optimal synchronization problem with linear quadratic cost is solved in this paper for multi-agent systems with an undirected communication topology. For the first time, the optimal synchronization problem is formulated as a…

Systems and Control · Computer Science 2018-05-08 Qishao Wang , Zhisheng Duan , Jingyao Wang , Guanrong Chen

This paper investigates the problem of synchronization for nonlinear systems. Following a Lyapunov approach, we firstly study global synchronization of nonlinear systems in canonical control form with both distributed…

Dynamical Systems · Mathematics 2017-04-05 Davide Liuzza , Dimos V. Dimarogonas , Karl H. Johansson

We study projective-anticipating, projective, and projective-lag synchronization of time-delayed chaotic systems on random networks. We relax some limitations of previous work, where projective-anticipating and projective-lag…

Physics and Society · Physics 2009-11-13 Cun-Fang Feng , Xin-Jian Xu , Sheng-Jun Wang , Ying-Hai Wang

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

We consider the data-driven stabilization of discrete-time linear time-varying systems. The controller is defined as a linear state-feedback law whose gain is adapted to the plant changes through a data-based event-triggering rule. To do…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Andrea Iannelli , Romain Postoyan