290 citations
- Université de MontréalCA44 papers
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9 papers · 1 filter
Soliton surfaces associated with CP^{N-1} sigma models
A. M. Grundland, S. Post
Soliton surfaces associated with CP^{N-1} sigma models are constructed using the Generalized Weierstrass and the Fokas-Gel'fand formulas for immersion of 2D surfaces in Lie algebra…
Soliton surfaces associated with symmetries of ODEs written in Lax representation
A. M. Grundland, S. Post
The main aim of this paper is to discuss recent results on the adaptation of the Fokas-Gel'fand procedure for constructing soliton surfaces in Lie algebras, which was originally de…
Soliton surfaces via zero-curvature representation of differential equations
A. M. Grundland, S. Post
The main aim of this paper is to introduce a new version of the Fokas-Gel'fand formula for immersion of soliton surfaces in Lie algebras. The paper contains a detailed exposition o…
Bicomplex Riesz-Fischer Theorem
K. S. Charak, R. Kumar, D. Rochon
This paper continues the study of infinite dimensional bicomplex Hilbert spaces introduced in previous articles on the topic. Besides obtaining a Best Approximation Theorem, the ma…
Surfaces immersed in Lie algebras associated with elliptic integrals
A. M. Grundland, S. Post
The main aim of this paper is to study soliton surfaces immersed in Lie algebras associated with ordinary differential equations (ODE's) for elliptic functions. That is, given a li…
Model-free control of non-minimum phase systems and switched systems
Loïc Michel
This brief presents a simple derivation of the standard model-free control for the non-minimum phase systems. The robustness of the proposed method is studied in simulation conside…