Residual-based iterations for the generalized Lyapunov equation [PDF]
This paper treats iterative solution methods to the generalized Lyapunov equation. Specifically it expands the existing theoretical justification for the alternating linear scheme (ALS) from the stable Lyapunov equation to the stable generalized Lyapunov equation.
Tobias Breiten, Emil Ringh
openaire +5 more sources
Exact detectability: Application to generalized Lyapunov and Riccati equations
This paper is devoted to the application of the recently developed results about exact detectability of a large class of time-varying hybrid stochastic systems (Drăgan et al., 2020). More specifically, we will show from one side the connection between this new detectability notion and the derivation of a criterion for exponential stability in mean ...
Dragan, Vasile +3 more
openaire +2 more sources
A Lyapunov Function For Logistic Equation On Time Scales
In this study we focus on the stability of dynamic logistic equation which is used in single species population dynamics. Here we have introduced a quadratic Lyapunov function for generalized dynamic logistic equation on time scales.
Veysel Fuat Hatipoğlu
doaj +1 more source
On Spectral Decomposition of States and Gramians of Bilinear Dynamical Systems
The article proves that the state of a bilinear control system can be split uniquely into generalized modes corresponding to the eigenvalues of the dynamics matrix.
Alexey Iskakov, Igor Yadykin
doaj +1 more source
Isolated periodic wave trains in a generalized Burgers–Huxley equation
We study the isolated periodic wave trains in a class of modified generalized Burgers–Huxley equation. The planar systems with a degenerate equilibrium arising after the traveling transformation are investigated.
Qinlong Wang +3 more
doaj +1 more source
Lyapunov and Riccati equations of discrete-time descriptor systems [PDF]
In this paper, we further develop the generalized Lyapunov equations for discrete-time descriptor systems given by Bender. We associate a stable discrete-time descriptor system with a Lyapunov equation which has a unique solution.
Lam, J, Zhang, L, Zhang, Q
core +1 more source
An efficient deep learning model for brain tumour detection with privacy preservation
Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
wiley +1 more source
Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source
From synchronization to Lyapunov exponents and back [PDF]
The goal of this paper is twofold. In the first part we discuss a general approach to determine Lyapunov exponents from ensemble- rather than time-averages.
Ahlers +29 more
core +3 more sources
Distributed wireless network resource optimisation method based on mobile edge computing
This paper mainly compares the network ranking leader, consumption amount and network signal reception of the three algorithms. The study found that in terms of network sort captain, there are significant differences between the CPLEX algorithm, the CCST algorithm, and edge computing methods. The CCST algorithm and edge computing have little difference
Jiongting Jiang +4 more
wiley +1 more source

