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Optimal Control Theory

2015
Exploration of the optimal control theoretic approach has been investigated. Here, our main aim is to minimize the cost as well as minimize the infected \(\mathrm{{CD4}}^{+}\)T cells and maximize the uninfected \(\mathrm{{CD4}}^{+}\)T cells. Moreover, optimal control strategy helps for successful immune reconstitution that can be achieved with increase
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Optimization in Trusses Using Optimal Control Theory

Journal of the Structural Division, 1975
A method is given for the optimum design of linearly elastic trusses which can be partitioned into a series of statically determinate substructures. In the case of such structures the design problem is formulated as a problem in optimal control theory. The member areas of substructures are treated as control variables and the interacting forces between
Narasingam M. Singaraj   +1 more
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Optimal Control of Partial Differential Equations

Applied Mathematical Sciences, 2021
A. Manzoni, A. Quarteroni, S. Salsa
semanticscholar   +1 more source

Optimal impulsive control theory

2005
We present in this survey some of the main ideas concerning impulse control theory. We have chosen the following framework. The process is a non degenerate diffusion stopped at the exit of a bounded regular domain of Rn. The control is excited by impulses, which modify the state of the system instantaneously.
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Optimization in Control Theory

2013
This chapter introduces how a control design problem can be formulated as an optimization problem. To this end, the standard control problem as well as the notion of stabilizing controllers are first briefly reviewed. After that, some closed-loop system performance measures are presented, they are indeed unavoidable to evaluate the quality of a given ...
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Geometric Theory of Time-Optimal Control

SIAM Journal on Control, 1971
Properties of the minimal-time function are considered for the problem of reaching the origin within (linear autonomous finite-dimensional) control systems. The function’s continuity is first established, leading to the construction of optimal feedback controls for normal systems.
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New Global Optimality Conditions in Optimal Control Theory

SIAM Journal on Control and Optimization, 1983
We give global optimality conditions expressed in terms of a function $\phi $ which satisfies conditions related to the Hamilton–Jacobi equation. Thus our results are in the spirit of sufficient conditions for optimality associated with Caratheodory in the calculus of variations, and of the verification theorems of optimal control theory.
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UAV path planning using artificial potential field method updated by optimal control theory

International Journal of Systems Science, 2016
Yongbo Chen   +4 more
semanticscholar   +1 more source

The Optimal Control Theory

2015
The optimal control theory is the theoretical basis for the generation of control algorithms to reach and maintain the desired orbital and attitude reference trajectory . These algorithms need to have as input a partial or total information regarding the state of the system. In this chapter we will review the classic optimal control theory derived from
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