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.

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 Controllability and Observability of Fractional Linear Systems with Two Different Orders

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Dengguo Xu ◽  
Yanmei Li ◽  
Weifeng Zhou
Keyword(s):  
Dynamical Systems ◽  
Linear Systems ◽  
Necessary Conditions ◽  
Sufficient And Necessary Conditions ◽  
State Observability ◽  
Controllability And Observability

This paper is concerned with the controllability and observability for a class of fractional linear systems with two different orders. The sufficient and necessary conditions for state controllability and state observability of such systems are established. The results obtained extend some existing results of controllability and observability for fractional dynamical systems.

scholarly journals Controllability Criteria for Linear Fractional Differential Systems with State Delay and Impulses

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Hai Zhang ◽  
Jinde Cao ◽  
Wei Jiang
Keyword(s):  
Fractional Derivative ◽  
Linear Systems ◽  
Necessary Conditions ◽  
State Delay ◽  
Differential Systems ◽  
State Response ◽  
Fractional Differential Systems ◽  
Sufficient And Necessary Conditions ◽  
Fractional Differential ◽  
Controllability Property

This paper is concerned with the controllability of linear fractional differential systems with delay in state and impulses. The factors of such systems including fractional derivative, impulses, and delay are taken into account synchronously. The expression of state response for such systems is derived, and the sufficient and necessary conditions of controllability criteria are established. Both the proposed criteria and illustrative examples show that the controllability property of the linear systems is dependent neither on the order of fractional derivative, on delay nor on impulses.

scholarly journals Interval Predictors for a Class of Uncertain Discrete-Time Systems

2020 ◽  
Vol 24 (3) ◽  
pp. 493-508
Author(s):  
Nacim Meslem ◽  
John Martinez
Keyword(s):  
Dynamical Systems ◽  
Discrete Time ◽  
The State ◽  
Stability Conditions ◽  
Numerical Examples ◽  
State Response ◽  
Discrete Time Systems ◽  
Analytic Expression ◽  
Time Systems ◽  
Time Linear

This work presents set-valued algorithms to compute tight interval predictions of the state trajectories for a certain class of uncertain dynamical systems. Based on interval analysis and the analytic expression of the state response of discrete-time linear systems, non-conservative numerical schemes are proposed. Moreover, under some stability conditions, the convergence of the width of the predicted state enclosures is proved. The performance of the proposed set-valued algorithms are illustrated through two numerical examples and the results are compared to that obtained with an other method selected from the literature.

State-Minority Contestations in Post-colonial Sri Lanka

2019 ◽  
Vol 9 (4) ◽  
pp. 157-165
Author(s):  
Mansoor Mohamed Fazil
Keyword(s):  
Qualitative Research ◽  
Sri Lanka ◽  
Research Method ◽  
The State ◽  
Social Forces ◽  
Social Force ◽  
State Structure ◽  
Post Colonial ◽  
State And Society ◽  
The Military

Abstract This research focuses on the issue of state-minority contestations involving transforming and reconstituting each other in post-independent Sri Lanka. This study uses a qualitative research method that involves critical categories of analysis. Migdal’s theory of state-in-society was applied because it provides an effective conceptual framework to analyse and explain the data. The results indicate that the unitary state structure and discriminatory policies contributed to the formation of a minority militant social force (the Liberation Tigers of Tamil Eelam – The LTTE) which fought with the state to form a separate state. The several factors that backed to the defeat of the LTTE in 2009 by the military of the state. This defeat has appreciably weakened the Tamil minority. This study also reveals that contestations between different social forces within society, within the state, and between the state and society in Sri Lanka still prevail, hampering the promulgation of inclusive policies. This study concludes that inclusive policies are imperative to end state minority contestations in Sri Lanka.

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.

Afars of Ethiopia in the system of ethnic federalism

2018 ◽  
pp. 126-146
Author(s):  
Roza Ismagilova
Keyword(s):  
Ethnic Identity ◽  
Ethnic Groups ◽  
Fundamental Principle ◽  
Ethnic Relations ◽  
The State ◽  
Political Crisis ◽  
The Political ◽  
Horn Of Africa ◽  
State Structure ◽  
Ethnic Federalism

The article pioneers the analyses of the results of ethnic federalism introduced in Ethiopia in 1991 – and its influence on Afar. Ethnicity was proclaimed the fundamental principle of the state structure. The idea of ethnicity has become the basis of official ideology. The ethnic groups and ethnic identity have acquired fundamentally importance on the political and social levels . The country has been divided into nine ethnically-based regions. The article exposes the complex ethno-political and economic situation in the Afar State, roots and causes of inter- and intra-ethnic relations and conflicts with Amhara, Oromo, Tigray and Somali-Issa, competition of ethnic elites for power and recourses. Alive is the idea of “The Greater Afar”which would unite all Afar of the Horn of Africa. The protests in Oromia and Amhara Regions in 2015–2017 influenced the Afar state as welll. The situation in Ethiopia nowadays is extremely tense. Ethiopia is plunging into serious political crisis. Some observers call it “the beginning of Ethiopian spring”, the others – “Color revolution”

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