Mathematical Analysis, Dynamical Systems and Optimisation Group (MADSOG)
Members
- Vladimir Gaitsgory (Leader)
- Regina Burachik
- Vladimir Ejov
- Jerzy Filar
- Phil Howlett
- Yalcin Kaya
- Sergiy Kravchuk
- Giang Nguyen
- Anatoli Torokhti
- Lesley Ward
PhD Students
- Nahid Banihashemi
- Ali Eshragh
- Michael Haythorpe
- Saba Majeed
- Jefferson de Melo
- Mustafa Rizvi
- Serguei Rossomakhine
- Neil Thatcher
Project List
- Doubly Stochastic Matrices & The Hamiltonian Cycle Problem
- Duality, singular perturbations and numerical analysis in infinite dimensional linear programming problems related to problems of control of nonlinear dynamical systems
- Graph isomorphism and quantisation of longest cycles by means of determinants and spectra
- Linear programming approach to nonlinear deterministic and stochastic control problems: perturbations methods and numerical analysis
- New computational techniques for optimal signal/image processing
- New inexact restoration methods for optimal control problem
- New Lagrangian formulations of the solution of nonsmooth and nonconvex problems
- New perspectives on computing methods for mathematical signal processing
- New proximal methods for variational inequalities
- Numerical methods to solve the Hamiltonian cycle problem
- Occupational measures approach to long run average and singularly perturbed optimal control problems
- Perturbed linear programming with application to Markov decision processes
Previous Research Projects
- Analytic perturbation theory and applications
- Asymptotic analysis of singularly perturbed Markov chains, mathematical programming problems and linear operators
- Hamiltonian cycles and nonconvex optimisation
- Hamiltonicity as a spectral property
- Multiscale deterministic and stochastic singularly perturbed control systems: occupational measures approach
- Near optimal control of singularly perturbed systems: numerical solutions
- Singularly perturbed controlled Markov processes and hybrid systems
- Viability of singularly perturbed control systems