A carbon emission trading self-scheduling (CETSS) model was proposed. The proposed considered not only allowance constraints but also trading. new method presented for solving CETSS problems based on piece-wise linearisation and second-order cone linearisation. effectiveness validity of the were illustrated by 10-100 unit systems over 24 hours.

In this paper, fractional differential equations in the sense of Caputo-Fabrizio derivative are transformed into integral equations. Then a high order numerical method for equation is investigated by approximating integrand with piece-wise quadratic interpolant. The scheme capable handling both linear and nonlinear A detailed error analysis stability region rigorously established.

In this manuscript, the existence, uniqueness, and stability of solutions to terminal value problem Riemann-Liouville fractional equations are established in variable exponent Lebesgue spaces L p ( . ) $$ {L}^{p(.)} We convert using generalized intervals piece-wise constant function. Further, Banach contraction principle is used, Ulam-Hyers-stability examined, finally, we construct an example.

Abstract This paper presents an efficient numerical approach for first-order delay differential equations containing a piece-wise constant delay. The strategy is based on five-point hybrid block method that has been developed ordinary equations. We will use the interpolation technique evaluation of terms are not defined at grid points. main characteristics discussed, including zero stability, l...

The solution of single-objective unit commitment problems for generation companies participating in deregulated markets may not directly be implementable mainly because of neglecting some conflicting secondary objectives arising from policy-making at internal/external environment. Benefiting an efficient multi-objective approach to improve the applicability of price-based unit commitment soluti...

Phoneme recognition can be viewed as classifying multivariate observations. Multi-layer perceptrons (MLP) and probabilistic neural networks (PNN) approach the decision problem using two complementary models. The MLP models the discriminant surfaces between different phoneme categories, essentially by piece-wise planar approximations, while the PNN approximates class conditional probability dens...

We propose a new approach to the Rayleigh-Schrödinger perturbation expansions of bound states in quantum mechanics. We are inspired by the enormous flexibility of solvable interactions with several (N) discontinuities. Their standard matching solution is modified and transferred in perturbation regime. We employ the global renormalization freedom of the local wave functions and derive a compact...

Analysis and synthesis for linear systems with parameters that vary according to a set-valued map are investigated. It is shown that the optimal controllers are continuous and homogeneous, but not additive. A computational method based on approximating the nonquadratic cost by a piece-wise quadratic function is developed. Such an approximation determines stability nonconservatively and preserve...

In this work we extend the test utterance adaptation technique used in vocal tract length normalization to a larger number of speaker characteristic features. We perform partially joint estimation of four features: the VTLN warping factor, the corner position of the piece-wise linear warping function, spectral tilt in voiced segments, and model variance scaling. In experiments on the Swedish PF...