High performance trajectory tracking control of quadrotor vehicles is an important challenge in aerial robotics. Symmetry a fundamental property physical systems and offers the potential to provide tool design high-performance algorithms. We propose methodology that takes any given symmetry, linearises associated error single set coordinates, uses LQR obtain high control; approach we term Equiv...

Mapping a texture image onto a flat spatial surface and subsequently projecting the image into screen space (such as a computer display) by a central projection results in a fractional linear transformation. Hence the inverse texture map is fractional linear as well. The divisions involved in this inverse can be prohibitively expensive for real time applications. This paper presents a method th...

the subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called affine subgroups., the split extension group $a(4)cong 2^7{:}sp_6(2)$ is the affine subgroup of the symplectic group $sp_8(2)$ of index $255$‎. ‎in this paper‎, ‎we use the technique of the fischer-clifford matrices to construct the character table of the inertia group $2^7{:}o^{-}_{6}(2...

Biosignals will play an important role in building communication between machines and humans. One of the types of biosignals that is widely used in neuroscience are electrooculography (EOG) signals. An EOG has a linear relationship with eye movement displacement. Experiments were performed to construct a gaze motion tracking method indicated by robot manipulator movements. Three operators looke...

0. Introduction 336 1. Main results 337 1.1. Semisimple groups 337 1.2. Factorization problem 338 1.3. Total positivity 339 1.4. Generalized minors 339 1.5. The twist maps 340 1.6. Formulas for factorization parameters 341 1.7. Total positivity criteria 343 1.8. Fundamental determinantal identities 343 2. Preliminaries 344 2.1. Involutions 344 2.2. Commutation relations 345 2.3. Generalized det...

the subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called emph{affine subgroups.}~the split extension group $a(4)cong 2^7{:}sp_6(2)$ is the affine subgroup of the symplectic group $sp_8(2)$ of index $255$‎. ‎in this paper‎, ‎we use the technique of the fischer-clifford matrices to construct the character table of the inertia group $2^7{:}o^{-}_...

0. Introduction 2 1. Main results 3 1.1. Semisimple groups 3 1.2. Factorization problem 4 1.3. Total positivity 5 1.4. Generalized minors 5 1.5. The twist maps 6 1.6. Formulas for factorization parameters 7 1.7. Total positivity criteria 8 1.8. Fundamental determinantal identities 9 2. Preliminaries 10 2.1. Involutions 10 2.2. Commutation relations 10 2.3. Generalized determinantal identities 1...

We study the quantum integrability of nonsimply–laced affine Toda theories defined on the half–plane and explicitly construct the first nontrivial higher–spin charges in specific examples. We find that, in contradistinction to the classical case, addition of total derivative terms to the ”bulk” current plays a relevant role for the quantum boundary conservation. IFUM–518–FT October 1995 Two–dim...

This paper suggests a decentralized adaptive sliding mode formation procedure for affine nonlinear multi-quadrotor under a fixed directed topology wherever the followers are conquered by dynamical uncertainties. Compared with the previous studies which primarily concentrated on linear single-input single-output (SISO) agents or nonlinear agents with constant control gain, the proposed method is...