scholarly journals Metric invariance entropy and relatively invariant control sets

2016 ◽  
Author(s):  
Fritz Colonius
Keyword(s):  
Control Sets ◽  
Invariance Entropy ◽  
Invariant Control ◽  
Invariant Control Sets ◽  
Metric Invariance

scholarly journals Invariance entropy of hyperbolic control sets

2015 ◽  
Vol 36 (1) ◽  
pp. 97-136 ◽  
Author(s):  
Adriano Da Silva ◽  
Christoph Kawan
Keyword(s):  
Control Sets ◽  
Invariance Entropy

scholarly journals Invariance Entropy of Control Sets

2011 ◽  
Vol 49 (2) ◽  
pp. 732-751 ◽  
Author(s):  
Christoph Kawan
Keyword(s):  
Control Sets ◽  
Invariance Entropy

scholarly journals Metric invariance entropy and conditionally invariant measures

2016 ◽  
Vol 38 (3) ◽  
pp. 921-939 ◽  
Author(s):  
FRITZ COLONIUS
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Invariant Measures ◽  
Invariance Entropy ◽  
Metric Invariance

Two notions of metric invariance entropy are constructed with respect to conditionally invariant measures for control systems in discrete time and it is shown that they are invariant under conjugacies.

scholarly journals Phytoremediation Potential of Vetiver System Technology for Improving the Quality of Palm Oil Mill Effluent

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Negisa Darajeh ◽  
Azni Idris ◽  
Paul Truong ◽  
Astimar Abdul Aziz ◽  
Rosenani Abu Bakar ◽  
...  
Keyword(s):  
Palm Oil ◽  
Oxygen Demand ◽  
Raw Material ◽  
Biofuel Production ◽  
Palm Oil Mill Effluent ◽  
System Technology ◽  
High Concentration ◽  
Low Concentration ◽  
Control Sets ◽  
Palm Oil Mill

Palm oil mill effluent (POME), a pollutant produced by the palm oil industry, was treated by the Vetiver system technology (VST). This technology was applied for the first time to treat POME in order to decrease biochemical oxygen demand (BOD) and chemical oxygen demand (COD). In this study, two different concentrations of POME (low and high) were treated with Vetiver plants for 2 weeks. The results showed that Vetiver was able to reduce the BOD up to 90% in low concentration POME and 60% in high concentration POME, while control sets (without plant) only was able to reduce 15% of BOD. The COD reduction was 94% in low concentration POME and 39% in high concentration POME, while control just shows reduction of 12%. Morphologically, maximum root and shoot lengths were 70 cm, the number of tillers and leaves was 344 and 86, and biomass production was 4.1 kg m−2. These results showed that VST was effective in reducing BOD and COD in POME. The treatment in low concentration was superior to the high concentration. Furthermore, biomass of plant can be considered as a promising raw material for biofuel production while high amount of biomass was generated in low concentration of POME.

Invariant control of vehicle descent into atmosphere

1976 ◽  
Vol 3 (5-6) ◽  
pp. 357-367 ◽  
Author(s):  
M. Khrustalev ◽  
Yu. Plotnikov ◽  
V. Belov
Keyword(s):  
Invariant Control

scholarly journals A Drift-Free Left Invariant Control System on the Lie Group SO(3)×R3×R3

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Camelia Pop
Keyword(s):  
Control System ◽  
Numerical Integration ◽  
Lie Algebra ◽  
Lie Group ◽  
Poisson Structure ◽  
Dual Space ◽  
Free System ◽  
Geometrical Properties ◽  
Free Left ◽  
Invariant Control

A controllable drift-free system on the Lie group G=SO(3)×R3×R3 is considered. The dynamics and geometrical properties of the corresponding reduced Hamilton’s equations on g∗,·,·- are studied, where ·,·- is the minus Lie-Poisson structure on the dual space g∗ of the Lie algebra g=so(3)×R3×R3 of G. The numerical integration of this system is also discussed.

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