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Abstract-based on a constructive theorem of generalized synchronization (GS) for discrete-time chaos system (DTCS), a GS DTCS is constructed via a Henon-like map. A new DTCS-based pseudorandom number generator (PNG) is introduced. The FIPS 140-2 randomness tests show that the PNG has good pseudo-randomness. Combining the DTCS and the PNG, an image encryption scheme with digital signature is established...
Based on the two-dimensional Arnold's cat map, and a generalized chaos synchronization (GCS) theorem, this paper presents a new six-dimensional discrete chaos map (6DCM) with GCS property. A chaos-based pseudorandom number generator (CPNG) is designed based on the 6DCM. We use the FIPA-140-2 tests issued by the National Institute of Standard and Technology to verify the random properties of the binary...
Scenarios have been shown to be very helpful for requirements elicitation. However, they only capture partial behaviors of interaction among system component instances, and system behaviors are modeled by sequences of events. Such a behavioral model only captures parallel composition without synchronization in the sense that all the sequences of events are generated in an interleaving semantics. In...
In this paper we apply the framework proposed in the companion paper to derive synchronization conditions for a class of interconnected state-space models. The application to the analysis of synchronization in biochemical networks is discussed and the specific example of synchronization in Goodwin oscillators is used to illustrate the proposed approach.
The subject area of this paper is discrete-time linear time-invariant systems composed of subsystems whose state updating is asynchronous due to the clock signal arriving with delays. This leads to the synchronization error identification problem which is to find from a trajectory of the system the order in which the subsystems' states are updated. A solution to this problem based on a direct search...
Diagnosability is a crucial property that determines at design stage how accurate any diagnosis algorithm can be on a partially observable system. Recent work on diagnosability has generalized fault event case to pattern case, which can describe more general objectives for diagnosis problem, but based on global model and global twin plant construction. In this paper, we propose an original framework...
The global synchronization of chaotic brushless DC motor (BLDCM) systems via variable substitution control is investigated. A master-slave synchronization scheme with variable substitution control is constructed at first. Based on this scheme, some sufficient criteria for global chaos synchronization of the master and slave BLDCM systems via various single-variable coupling are proved. The effectiveness...
Many real-world problems are dynamic and require an optimization algorithm that is able to continuously track a changing optimum over time. In this paper, a new multiagent algorithm for solving dynamic problems is studied. This algorithm, called MADO, is analyzed using the Moving Peaks Benchmark, and its performances are compared to those of competing dynamic optimization algorithms on several instances...
In this contribution we present the mutual synchronization of an ensemble of robots with strictly different architecture. The main idea is to achieve synchronization in a group of robots composed by rotational-rotational and rotational-prismatic architecture. The synchronization is achieved into the workspace, this is, and the end position of each robot is equal to the rest of the robots. It implies...
Synchronization of Kuramoto model has a notorious interest, since it models phenomena like coordination, synchronization, consensus, averaging, etc. for several systems in biology, physics and engineering. Recently, some steps were done in order to characterize synchronizing interconnection topologies, combining control and algebraic graph theories. In this work, we present a complete analysis of...
For a network of interconnected nonlinear dynamical systems an adaptive leader-follower output feedback synchronization problem is considered. The structure of decentralized controller and adaptation algorithm is proposed based on speed-gradient and passivity. Sufficient conditions of synchronization for nonidentical nodes are established. An example of synchronization of the network of nonidentical...
This paper establishes one new constructive generalized (chaos) synchronization (GS) theorems for coupled array ordinary differential equation systems (ADESs). The theorems provide general representations of GS ADES. Based on the theorem, one can design GS driven ADESs via driving chaotic ADESs and continuously differentiable transformations. As an applications, a Lorenz's cellular neural network...
Correspondence analysis (CA) has recently been proposed as a superior alternative to PCA for the tasks of monitoring and early event detection. Some of the key merits of CA include improved discrimination due to the inherent nonlinear scaling as well as the ability to capture and elegantly represent the joint variable-sample associations, which make it amenable to accommodate serial correlations in...
Projective synchronization in coupled hyper-chaotic Lorenz systems of integral order and its fractional order commensurate cases are both investigated, respectively. An approximate integer order model for the fractional order hyper-chaotic Lorenz system is constructed while analyzing the projective synchronization scheme of the coupled fractional order hyper-chaotic Lorenz systems. The scaling factor...
Most physical chaotic systems inherently contain nonlinearities which are commonly unknown to the system designer. Therefore, in modeling and analysis of such chaotic systems, one needs to handle unknown nonlinearities and/or uncertain parameters. This paper addresses two new adaptive output feedback controllers for a large class of chaotic systems with unknown dynamics in presence of external disturbances...
The full state hybrid projective synchronization, which includes complete synchronization, anti-synchronization and projective synchronization as its special item, is a novel type of chaos synchronization. In the paper, the application of the full state hybrid projective synchronization (FSHPS) to a special three-dimensional chaotic flow is investigated and validated further. Based on the Lyapunov's...
A global terminal adaptive controller is designed for the modified Chuapsilas circuits with input uncertainties and unknown parameters, and the synchronization is achieved in finite time by adopting the concept of global terminal control. It can be concluded that the synchronization can achieved successfully with the assumption that the sign of uncertain parameter of input is known. And the parameters...
In this paper we consider the motion planning and control problem of an underactuated 3DOF rigid body. The dynamics of a particular experimental setup as abstraction of the rotational degrees of freedom of a helicopter is studied. The virtual holonomic constraints approach serves as analytical tool to plan various periodic motions of the system, where a synchronization pattern among the generalized...
An adaptive consensus control framework for the rotational dynamics of multiple spacecraft is developed. Specifically, we assume that the mass moment of inertia of each spacecraft is unknown so that the largest principal axis is uncertain. Even though conservation of momentum does not hold in the adaptive case, attitude synchronization is attained after sufficiently long time has elapsed.
This work aims at defining a computational model of human emotional entrainment. Music, as a non-verbal language to express emotions, is chosen as an ideal test bed for these aims. We start from multimodal gesture and motion signals, recorded in a real world collaborative condition in an ecological setting. Four violin players were asked to play, alone or in duo, a music fragment in two different...
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