A5047208396- Stability and Controllability of Differential Equations
- Stability and Control of Uncertain Systems
- Nonlinear Differential Equations Analysis
- Numerical methods for differential equations
- Matrix Theory and Algorithms
- Control and Stability of Dynamical Systems
- Advanced Differential Equations and Dynamical Systems
- Differential Equations and Numerical Methods
- Advanced Mathematical Modeling in Engineering
- Neural Networks Stability and Synchronization
- Mathematical and Theoretical Epidemiology and Ecology Models
- Advanced Mathematical Physics Problems
- Cerebrovascular and Carotid Artery Diseases
- Fractional Differential Equations Solutions
- Control Systems and Identification
- Chaos control and synchronization
- Advanced Control Systems Optimization
- Opinion Dynamics and Social Influence
- Neurological Complications and Syndromes
- Restless Legs Syndrome Research
- Cybersecurity and Information Systems
- Market Dynamics and Volatility
- Acute Ischemic Stroke Management
- Advanced Optimization Algorithms Research
- Energy Load and Power Forecasting
Vietnam Military Medical University
2022-2025
Hanoi University of Science and Technology
2013-2024
Hanoi University
2010-2011
Necessary and sufficient conditions for exponential stability of linear time-invariant delay differential-algebraic equations are presented. The robustness this property is studied when the equation subjected to structured perturbations a computable formula radius derived. results illustrated by several examples.
In this paper, the problem of solvability and stability for switched discrete-time linear singular (SDLS) systems under Lipschitz perturbations is studied. By definition SDLS index-1, we first prove unique existence solution with different switching rules on two sides. A variation constants formula given manifold also described. Secondly, derive some conditions stability, asymptotical exponential these systems. Finally, examples are to illustrate obtained results.
This paper is mainly devoted to the controllability of second order discrete-time descriptor systems. Characterizations for different concepts are derived and feedback designs investigated by transforming system into an appropriate form then making use novel methods. It shows how classical rank conditions first systems can be generalized work extends complements researches about high-order 2020 Mathematics Subject Classification 06B99, 34D99, 47A10, 47A99, 65P99. 93B05, 93B07, 93B10.
The incidence of stroke-related restless legs syndrome (RLS) has been reported to be high but varies regionally. Therefore, this study aimed investigate the and some factors related after stroke onset in patients Vietnam. Data were collected from a total 423 who had stroke, including 283 ischemic 140 hemorrhagic strokes, which confirmed by magnetic resonance imaging within 7 days symptoms, at Department Stroke, Military Hospital 103 September 2023 April 2024. Restless was diagnosed 1 month...
In this paper, solvability, stability, and robust stability of linear time-varying singular systems second order difference equations are studied. The leading coefficient is allowed to be singular, i.e., the system does not generate an explicit recursion. By transforming into appropriate form, existence uniqueness solutions established under so-called strangeness-free assumption. Consistent initial conditions also explicitly constructed. Then, some criteria for exponential a...
The stability analysis for linear implicit $m$th order difference equations is discussed. We allow the leading coefficient to be singular, i.e., we include situation that system does not generate an explicit recursion. A spectral condition characterization of asymptotic presented and computable formulas are derived real complex radii in case matrices subjected structured perturbations.
We study switched singular systems in discrete time and first highlight that contrast to continuous regularity of the corresponding matrix pairs is not sufficient ensure a solution behavior which causal with respect switching signal. With suitable index-1 assumption for whole system, we are able define one-stepmap can be used provide explicit formulas general signals.
Objective We aimed to investigate the impact on mental health of patients with COVID-19 in a centralized isolation facility community who experienced long period full lockdown during fourth wave pandemic Vietnam. Methods performed retrospective cross-sectional study among 125 Ho Chi Minh City from September November 2021. collected data depression, anxiety, and stress symptoms, as indicated by scores Depression Anxiety Stress Scale-21, well sociodemographic characteristics. Results The...
Abstract In this article, we shall deal with the problem of calculation controllability radius a delay dynamical systems form x′(t) = A 0 x(t) + 1 x(t − h 1) ··· k ) Bu(t). By using multi-valued linear operators, are able to derive computable formulas for controllable system in case where system's coefficient matrices subjected structured perturbations. Some examples provided illustrate obtained results. Keywords: systemsmulti-valued operatorsstructured perturbationscontrollability...
In this paper, we develop a stability theory for implicit dynamic equations which is general form of differential-algebraic and difference equations. We derive some results about robust these subjected to Lipschitz perturbations. After that the so-called Bohl–Perron type theorems, are known in literature regular explicit equations, extended Finally, notion Bohl exponent introduced characterise relation between exponential exponent. Then, it investigated how with respect perturbations...
In this paper, we present some new explicit criteria for exponential stability of positive monotone homogeneous continuous-time difference systems. Then, apply the comparison principle to prove novel general nonlinear systems with delays, not necessarily and homogeneous. The obtained include many results existing in literature as particular cases. Some examples are given illustrate results.
Ischemic stroke caused by basilar artery occlusions (BAOs) poses a risk for misdiagnosis, leading to an increase the rates of mortality and disability, particularly in low-, middle-income countries. Methods: A retrospective cross-sectional study evaluated 21 patients with initial misdiagnosis BAO among 110 from 7 district hospitals who were subsequently admitted center at 103 Military Hospital June 2021 September 2022 Ha Noi city, Vietnam. Patient data collected age, sex, medical history,...
<p style='text-indent:20px;'>The stabilisation by noise on the boundary of Chafee-Infante equation with dynamical conditions subject to a multiplicative Itô is studied. In particular, we show that there exists finite range intensities imply exponential stability trivial steady state. This differs from previous works parabolic PDEs, where acts inside domain and typically occurs for an infinite intensities. To best our knowledge, this first result PDEs noise.
In this paper we investigate stochastic implicit difference equations (SIDEs for short). We give a definition of solution to such kind equations. An index-1 concept is introduced and formulas are established. The continuous dependence on initial condition also considered these After that, the mean square stability SIDEs studied by using method Lyapunov functions. Some examples given illustrate obtained results.