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1
Energy-based study of pole-free perfect control for LTI MIMO state-space systems
Krok M.
Zeszyty Naukowe. Elektryka / Politechnika Opolska
|
2017
|
z. 75
39--41
EN
This paper presents a study of maximum-accuracy and maximumspeed structurally stable control strategy achieved by application of nonunique right σ-inverse into the perfect control law. The energy-based issue of the control inputs is touched.
2
Metoda poprawy precyzji algorytmów wyznaczających gramiany sterowalności i obserwowalności
Raczyński D.
Zeszyty Naukowe. Elektryka / Politechnika Opolska
|
2012
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z. 67
105-109
PL
Celem artykułu jest przedstawienie opracowanej metody poprawy precyzji algorytmów wyznaczających gramiany sterowalności i obserwowalności ciągłych stacjonarnych układów liniowych. W artykule porównano jakość opracowanych algorytmów dla metod: Bartels-Stewarta, Smitha, ADI oraz funkcji znaku.
EN
The article presents the developed methods to improve the precision of algorithms for designating the controllability and observability gramians of LTI systems. The article compares the quality of the developed algorithms for the methods: Bartels-Stewart, Smith, ADI and Sign Function.
3
Content available A Lyapunov functional for a system with a time-varying delay
Duda J.
International Journal of Applied Mathematics and Computer Science
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2012
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Vol. 22, no. 2
327-337
EN
The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval time-varying delay. The functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the system trajectory. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.
4
Content available Lyapunov functional for a linear system with both lumped and distributed delay
Duda J.
Control and Cybernetics
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2011
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Vol. 40, no 1
73-90
EN
The paper presents a method of determining the Lyapunov quadratic functional for linear tirne-invariant system with both lumped and distributed delay. The Lyapunov functional is constructed for its given time derivative, which is calculated on the trajectory of the system with both lumped and distributed delay. The method presented gives analytical formulas for the coefficients of the Lyapunov functional.
5
Content available remote Lyapunov functional for a system with k-non-commensurate neutral time delays
Duda J.
Control and Cybernetics
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2010
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Vol. 39, no 4
1173-1184
EN
The paper presents a method of determining the Lyapunov quadratic functional for linear time-invariant system with k-non-commensurate neutral type time delays. The Lyapunov functional is constructed for its given time derivative, which is calculated on the trajectory of the system with k-non-commensurate neutral type time delays. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.
6
Content available remote Lyapunov functional for a linear system with two delays
Duda J.
Control and Cybernetics
|
2010
|
Vol. 39, no 3
797-809
EN
The paper presents a method of determining the Lyapunov functional for linear time-invariant LTI system with two lumped delays.
7
Content available Lyapunov functional for a linear system with two delays both retarded and neutral type
Duda J.
Archives of Control Sciences
|
2010
|
Vol. 20, no. 1
89-98
EN
The paper presents a method of determining of the Lyapunov quadratic functional for linear time-invariant system with two delays both retarded and neutral type. The Lyapunov functional is constructed for a given its time derivative which is calculated on the trajectory of the system with two delays both retarded and neutral type. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.
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