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Decentralized optimization for effective coordination of transmission and distribution systems with dynamic DER aggregation. [PDF]
Raghunathan N, Wang Z, Chen F, Yan B.
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The time-invariant linear-quadratic optimal control problem
Automatica, 1977This paper provides a review of one of the basic problems of systems theory-the general time-invariant optimal control problem involving linear systems and quadratic costs. The problem includes on one hand the regulator problem of optimal control and on the other, the theory of linear dissipative systems, itself central to network theory and to the ...
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Forward–backward linear quadratic stochastic optimal control problem with delay
Systems & Control Letters, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Jianhui, Li, Xun, Shi, Jingtao
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Linear Quadratic Optimal Control Problems
2021In this chapter, we are concerned with linear quadratic optimal control problems (LQ problems for short) for stochastic evolution equations, in which the diffusion terms depend on the control variables and the coefficients are stochastic. In such a general setting, one has to introduce suitable operator-valued backward stochastic evolution equations ...
Qi Lü, Xu Zhang
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Stochastic Linear Quadratic Optimal Control Problems
Applied Mathematics & Optimization, 2001The stochastic linear quadratic optimal control problem is extensively studied for the case of random coefficients, what is highly important in applications like mathematical finance (mean variance hedging). The cost functional is allowed to have a negative weight on the square of the control which reveals interesting differences to the deterministic ...
Chen, S., Yong, J.
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