In this paper, the finite-approximate controllability for a class of fractional composite relaxation equations with different nonlocal conditions is discussed. Firstly, under condition that term compact, existence mild solutions to obtained by employing resolvent theory, variational method, and Schauder’s fixed-point theorem. Moreover, assumption corresponding linear equation approximately controllable, derived be finite-approximately controllable. Furthermore, are considered weaker problem....

The aim of this paper is to investigate the infinite horizon linear quadratic (LQ) optimal control for stochastic time-delay difference systems with both state and dependent noise. To do this, notion exact observability a deference system introduced its PBH criterion presented by spectrum an operator related systems. Under assumptions stabilization observability, it shown that law value exist, also properties associated general algebraic Ricatti equation (GARE) are discussed.

Dynamic principal component analysis (DPCA) is required for the modeling and monitoring of dynamic processes. However, root cause identification faulty variables quite desired after a fault detected. As DPCA based methods construct detection indices in augmented variable space, it difficult to use contribution diagnosis common way. In recent literature, reconstruction (RBC) proposed, which more efficient diagnose sensors responsible than traditional analysis. they both suffer from smearing...

We propose and investigate an evolution system with a RiemannLiouville fractional derivative. With the aid of resolvent method, we formulate suitable notion solutions to this demonstrate corresponding existence uniqueness under regular integral contractor condition. Furthermore, by applying space decomposition technique, exhibit approximate controllability result system. This paper closes simple example, which confirms our analytical findings.

A variable speed anti-tangling reel mechanism was designed to address the problems of tangling, hanging and rewinding tassel wheel high paddling loss in current Chinese rape combine harvester cutting table. The kinematic equations were developed, analysis showed that entry stage is low exit high, attitude teeth change with plant movement during whole process. single-factor test a multi-factor regression orthogonal combination carried out using table rate harvesting as evaluation index. main...

We know that three system parameters, a center of X-ray source, an isocenter, and linear detectors, are very difficult to be calibrated in industrial CT system. So there often the offset isocenter deflection detectors. When still using FBP (filtered backprojection) algorithm under this condition, image artifacts will happen then can seriously affect test results. In paper, we give appearances forming mechanism these propose reconstruction including angle The numerical experiments with...

The aim of this study is to investigate the discrete-time periodic stochastic mixed H2 /H∞ control problem with state and external disturbance dependent noises. Under assumption 𝒦N -exact observability, authors present a sufficient condition for existence difference systems, which transforms controller design into solving four coupled matrix-valued equations.

In this article, one kind of the dynamical system which has a near saddle point is investigated. An equivalent condition for existence intertwined attractors planar systems and related results are given. MSC:34C35, 54H20.

Saturation is reported to have a significant influence on the stability of inverter. In this study, direct Lyapunov function method analyse three‐phase inverter with saturation presented. The overall model established and order original reduced based singular perturbation theory. Then global asymptotic assessments inverters are transformed into linear matrix inequalities problems that easy be solved numerically. Through analysis it can proved conventional proportional–integral modulation...

For the effective operation and evaluation of these systems, traffic state information is crucial necessary. This paper presents a estimation method based on Cell Transmission Model (CTM) Kalman Filter Algorithm for urban Arterial Street. partitioned link into cells according as CTM designed estimator Theory. In each time interval, used real-time data colleted by fixed sensors probes to update parameters in cell, including number vehicles, density speed. Thus whole could be obtained....

In industrial computed tomography (CT), it is often required to inspect large objects whose size beyond a reconstructed field of view (FOV). Some multiscan modes have been developed acquire the complete CT projection data for larger object using small panel detectors. this paper, we give non-concyclic dual-source circular cone-beam scanning geometry based on idea and propose backprojection-filtration-based (BPF) reconstruction algorithm without rebinning. Since FOV calculated according...

A kind of the well-known matrix Riccati equations which arise in certain stochastic optimal problems is investigated. With aid operator spectrum and generalized Lyapunov equation approach, we give a sufficient condition for existence uniqueness strong solution related to critical mean square stabilization linear controlled systems, proves Conjecture 10 (Zhang et al. (2008)) large extent. In addition, get some properties solution. At last, system has only by an example.

The aim of this paper is to investigate the stability and stabilizability stochastic time-delay deference system. To do this, we use mainly two methods give a list necessary sufficient conditions for One way in term operator spectrum and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>H</mml:mi></mml:mrow></mml:math>-representation; other by Lyapunov equation approach. In addition, introduce notion unremovable system, describe PBH criterion relation between