Fractional-Order Electrical Circuit Theory

2022 ◽  
Author(s):  
Bo Zhang ◽  
Xujian Shu
Keyword(s):  
Fractional Order ◽  
Circuit Theory ◽  
Electrical Circuit

Guaranteed cost and finite-time event-triggered control of fractional-order switched systems

2021 ◽  
pp. 014233122110048
Author(s):  
Yilin Shang ◽  
Leipo Liu ◽  
Yifan Di ◽  
Zhumu Fu ◽  
Bo Fan
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Electrical Circuit ◽  
Linear Matrix ◽  
Current State ◽  
Guaranteed Cost ◽  
Event Triggered

This paper considers the problem of guaranteed cost and finite-time event-triggered control of fractional-order switched systems. Firstly, an event-triggered scheme including both the information of current state and an exponential decay function is proposed, and a novel cost function that adopts the characteristics of fractional-order integration is presented. Secondly, some sufficient conditions are derived to guarantee that the corresponding closed-loop system is finite-time stable with a certain cost upper bound, using multiple Lyapunov functions and average dwell time approach. Meanwhile, the event-triggered parameters and state feedback gains are simultaneously obtained via solving linear matrix inequalities. Moreover, Zeno behavior does not exist by finding a positive lower bound of the triggered interval. Finally, an example about fractional-order switched electrical circuit is provided to show the effectiveness of the proposed method.

The Logical Basis of Electrical Circuit Theory

1978 ◽  
Vol 15 (1) ◽  
pp. 87-89 ◽  
Author(s):  
Z. L. Budrikis
Keyword(s):  
Circuit Theory ◽  
Electrical Circuit ◽  
Poisson’S Equation ◽  
Poisson's Equation ◽  
Logical Basis ◽  
Circuit Components ◽  
Speed Of Propagation ◽  
Infinite Speed Of Propagation

Two assumptions underlie circuit theory: infinite speed of propagation of force and existence at all times of equilibrium in matter. The theory is therefore essentially of static states. Voltages across all circuit components, including inductors, transformers, generators and others, are differences in potential, traceable to Coulomb forces and obeying Poisson's equation.

scholarly journals Fractional derivatives in electrical circuit theory – critical remarks

2017 ◽  
Vol 66 (1) ◽  
pp. 155-163 ◽  
Author(s):  
Ryszard Sikora
Keyword(s):  
Maxwell Equations ◽  
Fractional Derivatives ◽  
Circuit Theory ◽  
Electrical Circuit ◽  
Physical Equation ◽  
Dimensional Uniformity ◽  
Potential Impact

Abstract A number of critical remarks related to the application of fractional derivatives in electrical circuit theory have been presented in this paper. Few cases have been pointed out that refer to observed in selected publications violations of dimensional uniformity of physical equation rules as well as to a potential impact on the Maxwell equations.

scholarly journals Possessive Relational Process Clauses in Scientific Text: Implication on ESP Teaching

2019 ◽  
Vol 4 (2) ◽  
pp. 61-76
Author(s):  
Mulyati Khorina
Keyword(s):  
Engineering Students ◽  
Systemic Functional Linguistics ◽  
Circuit Theory ◽  
Electrical Circuit ◽  
Scientific Texts ◽  
Dominant Type ◽  
Scientific Text ◽  
Functional Linguistics ◽  
Relational Processes ◽  
Relational Process

This paper focuses of this paper aimsis possessive relational process clauses which is a type of relational process clauses in which relational processes work. Threepoints concerning possessive relational process clauses are discussed in this paper. First, the relational process type which is dominant possessed by possessive relational process clauses. Second, the lexical verbs which realize the dominant type of relational process. The last, the roles played by possessive relational process clauses. The data for this study were taken from Electrical Circuit Theory and Technology, Fundamentals of Electronics Circuits, Electronics Devices, Flow Version, and A Textbook of Electrical Technology, all of which are used as references by  Electronics Engineering students of PoliteknikNegeri Bandung. To analyse the data, Systemic Functional Linguistics (SFL) was employed. The results showed that possessive relational process clauses in scientific texts operate solely on attributive relational process. The attributive relational process is realized by lexical verbs have, consist, include, make which represent the possessive relational process clauses as Classification, Composition and Feature.

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