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math.OC2022★ 1 cited
Reduction in optimal control with broken symmetry for collision and obstacle avoidance of multi-agent system on Lie groups
Efstratios Stratoglou, Alexandre Anahory Simoes, Leonardo J. Colombo
We study the reduction by symmetry for optimality conditions in optimal control problems of left-invariant affine multi-agent control systems, with partial symmetry breaking cost f…
math.OC2022★ 1 cited
Optimal Control with Broken Symmetry of Multi-Agent Systems on Lie Groups
Efstratios Stratoglou, Leonardo Colombo, Tomoki Ohsawa
In this paper we study reduction by symmetry for optimality conditions in optimal control problems of left-invariant affine multi-agent control systems, with partial symmetry break…