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» The Theory of Weak Stabilization
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MCSS
2008
Springer
13 years 6 months ago
Weakly coprime factorization and state-feedback stabilization of discrete-time systems
Abstract: The LQ-optimal state feedback of a finite-dimensional linear time-invariant system determines a coprime factorization NM-1 of the transfer function. We show that the same...
Kalle M. Mikkola
SIAMNUM
2011
117views more  SIAMNUM 2011»
13 years 1 months ago
Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis
The paper presents a generalization of Arnold-Falk-Winther elements for linear elasticity, to meshes with elements of variable order. The generalization is straightforward but the ...
Weifeng Qiu, Leszek F. Demkowicz
CDC
2008
IEEE
129views Control Systems» more  CDC 2008»
13 years 8 months ago
How springs can help to stabilize motions of underactuated systems with weak actuators
In the field of robotics the energy spent for actuation is always an issue. It is often the case that some desired motions cannot be achieved by the robot due to limitations in act...
Uwe Mettin, Pedro X. La Hera, Leonid B. Freidovich...
CDC
2009
IEEE
121views Control Systems» more  CDC 2009»
13 years 10 months ago
A biased approach to nonlinear robust stability with applications in adaptive control
— The nonlinear robust stability theory of Georgiou and Smith (IEEE Trans. Auto. Control, 42(9):1200–1229, 1997) is generalized to the case of notions of stability with bias te...
Mark French, Wenming Bian
JSYML
2010
62views more  JSYML 2010»
13 years 4 months ago
A monotonicity theorem for dp-minimal densely ordered groups
Dp-minimality is a common generalization of weak minimality and weak o-minimality. If T is a weakly o-minimal theory then it is dp-minimal (Fact 2.2), but there are dp-minimal den...
John Goodrick