Optimal Parallel Waveform Design and Tracking Control of Multi-Radar Systems Using Tensor Algebra

This paper presents a new mathematical framework based on tensor algebra to enhance joint waveform guidance and control optimization (JWGCO) in multi-radar and multi-target contexts. The framework optimally minimizes a quadratic cost function related to the radar signal's energy and target tracking, accommodating pre-assigned and independently determined targets. The tensor approach translates traditional matrices into N -dimensional tensors, enabling the use of the Hadamard product for optimal control solutions linked to the tensor Riccati algebraic equation.