Inner-approximating reachable sets for polynomial systems with time-varying uncertainties

B Xue, M Fränzle, N Zhan - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
In this paper, we propose a convex programming based method to address a long-standing
problem of inner-approximating backward reachable sets of state-constrained polynomial …

Exploitation of the value function in a bilevel optimal control problem

K Palagachev, M Gerdts - System Modeling and Optimization: 27th IFIP TC …, 2016 - Springer
The paper discusses a class of bilevel optimal control problems with optimal control
problems at both levels. The problem will be transformed to an equivalent single level …

[PDF][PDF] Synthesis of optimal control in a mathematical model of economic growth under R&D investments

I Yegorov, A Bratus, Y Todorov - Applied Mathematical Sciences, 2015 - m-hikari.com
Even for sufficiently simple single-input control-affine systems without state constraints the
subject of analytical and qualitative investigation of global optimal control synthesis is …

Numerical methodes for optimal control and model predictive control

LTFR Paiva - 2014 - search.proquest.com
This thesis addresses, via numerical and optimisation methods, the control of nonlinear
systems whose inputs or trajectories are subject to constraints. Nevertheless, we review and …

Differential games based on invariant sets generation

B Xue, Q Wang, N Zhan, M Fränzle… - 2022 American Control …, 2022 - ieeexplore.ieee.org
Differential games play an important role in collision avoidance, motion planning and control
of aircrafts, and related applications. The central problem is the computation of the set of …

Reach-avoid differential games based on invariant generation

B Xue, Q Wang, N Zhan, M Fränzle, S Feng - arXiv preprint arXiv …, 2018 - arxiv.org
Reach-avoid differential games play an important role in collision avoidance, motion
planning and control of aircrafts, and related applications. The central problem is the …