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Št. zadetkov: 7
Algebraic methods for the construction of algebraic-difference equations with desired behavior
Lazaros Moysis, Nicholas Karampetakis
Izvirni znanstveni članek
Oznake: descriptor system;linear system;singular system;algebraic-difference equation;modeling;identification;higher order system;arma;exact modeling;
For a given system of algebraic and difference equations, written as an Auto-Regressive (AR) representation $A(\sigma)\beta(k)=0$, where $\sigma $ denotes the shift forward operator and $A\left( \sigma \right) $ a regular polynomial matrix, the forward-backward behavior of this system can be constru ...
Leto: 2018 Vir: Repozitorij Univerze v Novi Gorici (RUNG)
Construction of algebraic and difference equations with a prescribed solution space
Lazaros Moysis, Nicholas Karampetakis
Izvirni znanstveni članek
Oznake: descriptor system;singular system;state space system;differential-algebraic system;higher order system;linear system;modeling;exact modeling;polynomial matrix;matrix theory;identification;
This paper studies the solution space of systems of algebraic and difference equations, given as auto-regressive (AR) representationsA(σ)β(k) = 0, whereσdenotes the shift forward operator andA(σ) is a regular polynomial matrix. The solution space of such systems consists of forward and backward prop ...
Leto: 2017 Vir: Repozitorij Univerze v Novi Gorici (RUNG)
Reachability of discrete time ARMA representations
Lazaros Moysis, Nicholas Karampetakis
Izvirni znanstveni članek
Oznake: control;reachability;descriptor system;singular system;linear system;state space system;higher order system;matrix theory;
A new formula for the solution of discrete time auto-regressive moving average (ARMA) representations is provided. Then, the concept of reachability (also known as controllability from the origin) is examined by showcasing the reachable subspace of the system and the consistent inputs that drive the ...
Leto: 2021 Vir: Repozitorij Univerze v Novi Gorici (RUNG)
Reachability of discrete time causal ARMA representations
Lazaros Moysis, Nicholas Karampetakis
Objavljeni znanstveni prispevek na konferenci
Oznake: linear system;descriptor system;higher order system;singular system;DAEs;differential-algebraic equation;reachability;matrix theory;polynomial matrices;
The reachability subspace of discrete time causal ARMA representations is examined. First, the conditions under which a system is causal are studied and a formulafor the solution of a causal system is presented. Then, an important result regarding the set of admissible initial conditions is derived ...
Leto: 2016 Vir: Repozitorij Univerze v Novi Gorici (RUNG)
On the modeling of discrete time auto-regressive representations
Lazaros Moysis, Nicholas Karampetakis
Objavljeni znanstveni prispevek na konferenci
Oznake: descriptor system;linear system;singular system;higher order system;modeling;DAEs;differentiial-algebraic equation;identification;exact modeling;
It is well known [2], [6], that given the discrete-time AutoRegressive representation A(σ)β(k) = 0; where σ denotes the shift forward operator and A(σ) a polynomial matrix, we can always construct the forward-backward behavior of this system, by using the finite and infinite elementary divisor struc ...
Leto: 2014 Vir: Repozitorij Univerze v Novi Gorici (RUNG)
Observability of linear discrete-time systems of algebraic and difference equations
Lazaros Moysis, Nicholas Karampetakis, Efstathios Antoniou
Izvirni znanstveni članek
Oznake: descriptor system;singular system;state space system;observability;control;higher order system;ARMA;polynomial matrix;matrix theory;
The notion of observability for higher order discrete-time systems of algebraic and difference equations is studied. Such systems are also known as polynomial matrix descriptions . Attention is first given to a special form of descriptor systems with a state lead in the output. This system is transf ...
Leto: 2019 Vir: Repozitorij Univerze v Novi Gorici (RUNG)
Closed form solution for the equations of motion for constrained linear mechanical systems and generalizations
Lazaros Moysis, A. A. Pantelous, Efstathios Antoniou, Nicholas Karampetakis
Izvirni znanstveni članek
Oznake: control;singular system;descriptor system;higher order system;state space system;polynomiak matrix;matrix theory;modeling;mechanical system;differential-algebraic system;
In this paper, a mathematical methodology is presented for the determination of the solution of motion for linear constrained mechanical systems applicable also to systems with singular coefficients. For mathematical completeness and also to incorporate some other interesting cases, the methodology ...
Leto: 2017 Vir: Repozitorij Univerze v Novi Gorici (RUNG)
Št. zadetkov: 7
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