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  • Articles  (10)
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  • Optimal control  (10)
  • Springer  (10)
  • American Chemical Society
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  • 1995-1999
  • 1985-1989  (10)
  • 1970-1974
  • 1985  (10)
  • Mathematics  (9)
  • Technology  (1)
  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
  • Energy, Environment Protection, Nuclear Power Engineering
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  • Articles  (10)
  • Other Sources
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  • Springer  (10)
  • American Chemical Society
  • Sage Publications
Years
  • 1995-1999
  • 1985-1989  (10)
  • 1970-1974
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  • Mathematics  (9)
  • Technology  (1)
  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
  • Energy, Environment Protection, Nuclear Power Engineering
  • Biology  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 23 (1985), S. 75-101 
    ISSN: 1432-1416
    Keywords: Population dynamics ; Optimal harvesting ; Optimal control ; Hyperbolic systems ; Pontryagin's principle
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract In this paper, Pontryagin's principle is proved for a fairly general problem of optimal control of populations with continuous time and age variable. As a consequence, maximum principles are developed for an optimal harvesting problem and a problem of optimal birth control.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 45 (1985), S. 265-293 
    ISSN: 1573-2878
    Keywords: Optimal control ; control differential systems involving impulses ; jumps in the state variables
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The existence of an optimal control is proved in a problem where the criterion functional and the equation of motion contain a control that is a Lebesgue-Stieltjes measure. Due to nonlinearities in the problem, it is necessary to postulate a condition implying that large atoms of the control measures are sparse and that their derivatives, wherever they exist, have a uniform bound.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Annals of biomedical engineering 13 (1985), S. 155-175 
    ISSN: 1573-9686
    Keywords: Intraaortic balloon pumping ; Modeling ; Optimal control ; Cardiac assistance ; Cardiovascular system
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine , Technology
    Notes: Abstract The effectiveness of intraaortic balloon pumping was investigated by using a lumped parameter model of the cardiovascular/assist device system. The model consists of a time-varying elastance left ventricular simulation, a 2-element windkessel arterial simulation, and an RC venous return and pulmonary simulation. The four major hemodynamic variables, stroke volume (SV), aortic mean diastolic pressure (MDP), tension time index (TTI), and aortic end diastolic pressure (EDP), were divided into two categories related to system energy supply and demand: “external” and “internal” variables. The effects of balloon pumping on these variables can be described by closed-form equations that yield an optimal solution. The model prediction suggests that, in the ideal case, optimization of balloon pumping calls for instantaneous inflation of the balloon to maximum volume at end systole and instantaneous complete deflation at end diastole. For finite inflation/deflation rates, the optimal time for the start of inflation is end systole. Deflation timing, however, involves a tradeoff between maximizing the external variables and minimizing the internal variables. These predictions were tested using a nonlinear digital computer model. The results also suggest that when SV is not being monitored, optimal inflation timing can be controlled from the measurements of TTI or pulmonary venous pressure; optimal deflation timing can be controlled by a weighted combination of MDP and EDP.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 45 (1985), S. 517-531 
    ISSN: 1573-2878
    Keywords: Optimal control ; parameter optimization ; power systems ; load frequency control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new approach for designing a linear regulator for the problem of load frequency control (LFC) of interconnected power systems is developed. The control is specified to be of proportional-plus-integral (P-I) form and is only a function of the measurable states. The LFC problem is formulated as a parameter optimization problem.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 46 (1985), S. 493-504 
    ISSN: 1573-2878
    Keywords: Optimal control ; envelope theorem ; differential inclusions ; nondifferentiable functions ; production-employment model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In optimal control problems involving nondifferentiable functions of the state variable, the adjoint differential inclusion can be formulated by either use of the Hamiltonian or the maximized Hamiltonian. In this paper, we solve a production-employment model in which the latter approach must be utilized, since the former does not enable one to determine the optimal policy.
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  • 6
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    Springer
    Journal of optimization theory and applications 45 (1985), S. 73-88 
    ISSN: 1573-2878
    Keywords: Optimal control ; nonconvexity ; relaxed controls ; parabolic systems ; relaxed minimum principle ; approximations ; descent methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we consider an optimal control problem for distributed systems governed by parabolic equations. The state equations are nonlinear in the control variable; the constraints and the cost functional are generally nonconvex. Relaxed controls are used to prove existence and derive necessary conditions for optimality. To compute optimal controls, a descent method is applied to the resulting relaxed problem. A numerical method is also given for approximating a special class of relaxed controls, notably those obtained by the descent method. Convergence proofs are given for both methods, and a numerical example is provided.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 45 (1985), S. 505-516 
    ISSN: 1573-2878
    Keywords: Optimal control ; parameter optimization ; power systems ; load frequency control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new technique is described for designing an optimal controller for a system whose dynamical equations contain a backlash element. The approach is applied to the problem of load frequency control (LFC) of a single area steam power system.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 46 (1985), S. 441-453 
    ISSN: 1573-2878
    Keywords: Optimal control ; singular perturbations ; autonomous systems ; feedback control ; Hamilton-Jacobi-Bellmann equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper shows how to construct a feedback control law for a class of singularly perturbed autonomous optimization problems. The control law is expressed as a single power series in the small parameter ∈ representing the ratio of the two effective time scales of the problem. The present approach avoids the need of expansion matching. The method is applied to a constant-speed interception problem. Comparison of numerical results with the exact solution shows an excellent agreement.
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  • 9
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    Springer
    Journal of optimization theory and applications 47 (1985), S. 465-481 
    ISSN: 1573-2878
    Keywords: Optimal control ; tracking systems ; computational methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Closed-from solutions are derived for a class of tracking problems including a linear optimal regulator and a prefilter for a time-invariant plant. The solutions for the prefilter equation and state trajectory, coupled by the Riccati equation, are exponentially related to the stability matrix of the plant. A computational procedure is presented in recursive form when the desired output state dynamics is assumed linear and time-invariant. Several examples are given for illustration.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 46 (1985), S. 265-293 
    ISSN: 1573-2878
    Keywords: Optimal control ; terminal equality constraints ; multiplier methods ; augmented Lagrangians ; linearly convergent update formulas
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, a method is proposed for the numerical solution of optimal control problems with terminal equality constraints. The multiplier method is employed to deal with the terminal equality constraints. It is shown that a sequence of control functions, which converges to the optimal control, is obtained by the alternate update of control functions and multipliers.
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