scholarly journals Sufficient and necessary conditions for the solvability of the state feedback regulation problem

2013 ◽  
Vol 24 (17) ◽  
pp. 2958-2973 ◽  
Author(s):  
S. Boulite ◽  
H. Bouslous ◽  
L. Maniar ◽  
R. Saij
Keyword(s):  
State Feedback ◽  
Necessary Conditions ◽  
Feedback Regulation ◽  
The State ◽  
Sufficient And Necessary Conditions

scholarly journals State Feedback Regulation Problem to the Reaction-Diffusion Equation

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1983
Author(s):  
Francisco Jurado ◽  
Andrés A. Ramírez
Keyword(s):  
State Feedback ◽  
Feedback Regulation ◽  
Parabolic Type ◽  
Reaction Diffusion ◽  
The State ◽  
Reaction Diffusion Equation ◽  
Finite Dimensional ◽  
Sturm Liouville ◽  
Bounded Input ◽  
Feedback Regulator

In this work, we explore the state feedback regulator problem (SFRP) in order to achieve the goal for trajectory tracking with harmonic disturbance rejection to one-dimensional (1-D) reaction-diffusion (R-D) equation, namely, a partial differential equation of parabolic type, while taking into account bounded input, output, and disturbance operators, a finite-dimensional exosystem (exogenous system), and the state of the exosystem as the state to the feedback law. As is well-known, the SFRP can be solved only if the so-called Francis (regulator) equations have solution. In our work, we try with the solution of the Francis equations from the 1-D R-D equation following given criteria to the eigenvalues from the exosystem and transfer function of the system, but the state operator is here defined in terms of the Sturm–Liouville differential operator (SLDO). Within this framework, the SFRP is then solved for the 1-D R-D equation. The numerical simulation results validate the performance of the regulator.

Causality, Determinism And Freedom Of The Will

Philosophy ◽  
1964 ◽  
Vol 39 (149) ◽  
pp. 233-248
Author(s):  
Lionel Kenner
Keyword(s):  
Human Activity ◽  
Necessary Conditions ◽  
The State ◽  
Freedom Of The Will ◽  
Sufficient And Necessary Conditions ◽  
The Will ◽  
The Universe

The classical determinist argument is that every event has a cause, that every event in the universe is an effect whose sufficient and necessary conditions are the state of the universe immediately preceding it. For this reason we could not have done otherwise than we did. We do not have free-wills and hence we are not morally responsible for our thoughts and actions. The classical deterministmay, however, modify his position and agree that not every event inthe world has a cause, but only that every human activity—our thoughts and our actions—are causally determined. Butit would still follow that we could not have done otherwise than wedid. As the first formulation entails the second formulation, and is more usual, we shall adopt that one.

scholarly journals Reachability and Controllability of Fractional Singular Dynamical Systems with Control Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Hai Zhang ◽  
Jinde Cao ◽  
Wei Jiang
Keyword(s):  
Dynamical Systems ◽  
Necessary Conditions ◽  
Algebraic Approach ◽  
Coefficient Matrix ◽  
The State ◽  
State Structure ◽  
Singular Coefficient ◽  
Control Delay ◽  
State Response ◽  
Sufficient And Necessary Conditions

This paper is concerned with the reachability and controllability of fractional singular dynamical systems with control delay. The factors of such systems including the Caputo’s fractional derivative, control delay, and singular coefficient matrix are taken into account synchronously. The state structure of fractional singular dynamical systems with control delay is characterized by analysing the state response and reachable set. A set of sufficient and necessary conditions of controllability for such systems are established based on the algebraic approach. Moreover, an example is provided to illustrate the effectiveness and applicability of the proposed criteria.

Self-Scheduled and Robust Control for Tilt Rotor Aircraft

2014 ◽  
Vol 721 ◽  
pp. 210-213
Author(s):  
Yu Yan Cao ◽  
Xin Min Wang ◽  
Cheng Peng
Keyword(s):  
Robust Control ◽  
Control Algorithm ◽  
State Feedback ◽  
Necessary Conditions ◽  
Convex Combination ◽  
Two Dimensional ◽  
Tilt Rotor ◽  
Conversion Mode ◽  
Sufficient And Necessary Conditions ◽  
The Mathematical Model

A kind of self-scheduled and robust control algorithm for the conversion mode of tilt rotor aircraft is proposed in this paper. The mathematical model of the aircraft is established by modeling each component and combining. Then the conversion corridor is obtained by trim results. The convex combination of several vertex system combined with two-dimensional interpolation is designed to solve the problem of self-scheduled while nacelle tilting. Last sufficient and necessary conditions for the existence of the state-feedback controller are given and a MATLAB tool is raised to ensure performance of the system.

SOCIAL PROTECTION IS A GUARANTEE OF FAMILY UNITY

2020 ◽  
Vol 7 (3) ◽  
pp. 89-96
Author(s):  
Dilbar Karshieva ◽  
Keyword(s):  
Social Protection ◽  
Necessary Conditions ◽  
Family Members ◽  
The State ◽  
The Military ◽  
Family Unity

This article demonstrates the great attention and care paid by the state to the military and their families in our country.Social protection of families of military men consists in creating necessary conditions for family members to develop and demonstrate their abilities in socio-economic, cultural, medical and other spheres.

scholarly journals Oscillation of Second-Order Differential Equations with Multiple and Mixed Delays under a Canonical Operator

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1323
Author(s):  
Shyam Sundar Santra ◽  
Rami Ahmad El-Nabulsi ◽  
Khaled Mohamed Khedher
Keyword(s):  
Differential Equations ◽  
Necessary Conditions ◽  
Second Order ◽  
Multiple Delays ◽  
Mixed Delays ◽  
Neutral Differential Equations ◽  
Canonical Operator ◽  
Second Order Differential Equations ◽  
The Future ◽  
Sufficient And Necessary Conditions

In this work, we obtained new sufficient and necessary conditions for the oscillation of second-order differential equations with mixed and multiple delays under a canonical operator. Our methods could be applicable to find the sufficient and necessary conditions for any neutral differential equations. Furthermore, we proved the validity of the obtained results via particular examples. At the end of the paper, we provide the future scope of this study.

scholarly journals Properties of Certain Subclass of Meromorphic Multivalent Functions Associated with q-Difference Operator

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1035
Author(s):  
Cai-Mei Yan ◽  
Rekha Srivastava ◽  
Jin-Lin Liu
Keyword(s):  
Difference Operator ◽  
Necessary Conditions ◽  
Partial Sums ◽  
Coefficient Estimates ◽  
Radius Of Starlikeness ◽  
Closure Theorems ◽  
Sufficient And Necessary Conditions ◽  
Distortion Theorems ◽  
Growth And Distortion Theorems

A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means of a q-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radius of starlikeness and convexity, partial sums and closure theorems, are investigated.

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