Three-dimensional energy-state extremals in feedback form

Ardema, Mark D.; Rajan, N.; Yang, Lixing

doi:10.2514/3.20452

Cited by 7 publications

(4 citation statements)

References 4 publications

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“…In the case of a singularly perturbed linear, time-invariant system given by Eq. (4), the preceding two theorems imply that stability conditions require that (19)…”

Section: A Basic Theoremsmentioning

confidence: 98%

Singular Perturbations and Time Scales in Guidance and Control of Aerospace Systems: A Survey

Naidu

Calise

2001

Journal of Guidance, Control, and Dynamics

255

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“…In the case of a singularly perturbed linear, time-invariant system given by Eq. (4), the preceding two theorems imply that stability conditions require that (19)…”

Section: A Basic Theoremsmentioning

confidence: 98%

Singular Perturbations and Time Scales in Guidance and Control of Aerospace Systems: A Survey

Naidu

Calise

2001

Journal of Guidance, Control, and Dynamics

255

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show abstract

“…These can be demonstrated in Hensellian numbers, and secondly, derivable fractional functions, inherent in any given complex topos of an complex adaptive evolutionary system. [9] Nagata defined thusly: A local ring R with maximal ideal m is called Henselian if Hensel's lemma holds. This means that if P is a monic polynomial in R[x], then any factorization of its image P in (R/m)[x] into a product of coprime monic polynomials can be lifted to a factorization in R[x].…”

Section: Complex Adaptive Evolutionary System: Thermodynamicsmentioning

confidence: 99%

Atomistic Mathematical Theory for Metaheuristic Structures of Global Optimization Algorithms in Evolutionary Machine Learning for Power Systems

Lissner¹

2021

Computational Optimization Techniques and Applications

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Global Optimization in the 4D nonlinear landscape generates kinds and types of particles, waves and extremals of power sets and singletons. In this chapter these are demonstrated for ranges of optimal problem-solving solution algorithms. Here, onts, particles, or atoms, of the ontological blueprint are generated inherently from the fractional optimization algorithms in Metaheuristic structures of computational evolutionary development. These stigmergetics are applicable to incremental machine learning regimes for computational power generation and relay, and information management systems.

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“…Additionally, unlikeReference 5, itis assumed here that the weapon envelope cannot be orientedindependent of the pursuer'svelocityvector. In thepast,differential games of thisnature could only be handled by linearizing the vehicledynamics [9,i0]or by the use of simplified models [7,12]. Differential game solutionsobtained using linearlzed vehicledynamics is of dubious value since it is not reasonableto definea nominal trajectory.Use of simplified vehiclemodels, on the other hand, can resultin optimistic or pessimistic resultsdepending on the regionof validity of thesemodels.…”

Section: Introductionmentioning

confidence: 99%

“…In thiscase, however, the numerical complexities preclude real-timeimplementation. Alternate approaches to these problems consistof off-line construction and storageof a fieldof extremals with real-timeinterpolation [12]. In Reference 4, itwas shown that feedback solutions are feasible fora classof nonlineardifferential games arisingin aircraft pursuit-evasion.In that work, the performance index was required to be a quadraticform in the distancebetween two vehicles and the squareof the magnitude oftheiracceleration.…”

Section: Introductionmentioning

confidence: 99%