Quantized State System Simulation
نویسندگان
چکیده
The paper introduces a new family of numerical ODE solvers called Quantized State System (QSS) methods. Given a set of ODEs in its state-space representation, the QSS methods replace the classic time slicing by a quantization of the states, leading to an asynchronous discrete-event simulation model instead of a discretetime difference equation model. QSS methods applied to stable linear time-invariant systems give always practically stable numerical results, irrespective of the quantization adopted. Taking into account that the QSS methods are explicit algorithms, this property has strong theoretical implications and offers a promising perspective for applications such as real-time simulation of stiff systems, where implicit solutions are usually unacceptable. Also discussed are the main properties of the methods in the context of simulating discontinuous systems (the asynchronous nature of these algorithms gives them important advantages for discontinuity handling). Another class of systems that can be simulated by means of these algorithms are marginally stable (Hamiltonian) systems.
منابع مشابه
A Novel Qualitative State Observer
The state estimation of a quantized system (Q.S.) is a challenging problem for designing feedback control and model-based fault diagnosis algorithms. The core of a Q.S. is a continuous variable system whose inputs and outputs are represented by their corresponding quantized values. This paper concerns with state estimation of a Q.S. by a qualitative observer. The presented observer in this pape...
متن کاملA numerical renormalization group approach for calculating the spectrum of a vibronic system occurring in molecules or impurities in insulators
Theoretically, in order to describe the behavior of a spectrum, a mathematical model whichcould predict the spectrum characteristics is needed. Since in this study a Two-state system has beenused like models which was introduced previously past and could couple with the environment, theformer ideas have been extended in this study. we use the second quantized version for writing thisHamiltonian...
متن کاملHigh Performance Modeling with Quantized System
As analyses of system behavior and complexity through computer modeling and simulation have been growing, high performance modeling is noticed to handle behavior and complexity of modern large-scale systems. The high performance modeling focuses on high resolution representation of system and performance improvement. This paper presents a quantized system modeling as an effective high performan...
متن کاملA New Fast and Efficient HMM-Based Face Recognition System Using a 7-State HMM Along With SVD Coefficients
In this paper, a new Hidden Markov Model (HMM)-based face recognition system is proposed. As a novel point despite of five-state HMM used in pervious researches, we used 7-state HMM to cover more details. Indeed we add two new face regions, eyebrows and chin, to the model. As another novel point, we used a small number of quantized Singular Values Decomposition (SVD) coefficients as feature...
متن کاملL1 Adaptive Controller for Quantized Systems
This paper studies the tracking problem of an uncertain LTI system where both the control input and system state are quantized. The L1 adaptive controller is designed for the quantized system. Two common types of quantization, logarithmic and uniform, quantization are considered. In both cases, the analysis of the closed-loop system provides a uniform transient performance bound, which depends ...
متن کاملQuantized state simulation of spiking neural networks
In this work, we explore the usage of quantized state system (QSS) methods in the simulation of networks of spiking neurons. We compare the simulation results obtained by these discrete-event algorithms with the results of the discrete time methods in use by the neuroscience community. We found that the computational costs of the QSS methods grow almost linearly with the size of the network, wh...
متن کامل