Results 51 to 60 of about 2,730 (204)
The work is dedicated to modeling&turbine control systems and studying the stability of a nonlinear system. The dynamics of the turbine regulation system is described by a nonlinear&system of four differential equations.
Zh. T. Bitaeva, Z. N. Murzabekov
doaj
Approximate Methods for Solving Linear and Nonlinear Hypersingular Integral Equations
We propose an iterative projection method for solving linear and nonlinear hypersingular integral equations with non-Riemann integrable functions on the right-hand sides.
Ilya Boykov +2 more
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Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley +1 more source
INTERVAL STATE ESTIMATION FOR SINGULAR DIFFERENTIAL EQUATION SYSTEMS WITH DELAYS [PDF]
The paper deals with linear differential equation systems with algebraic restrictions (singular systems) and a method of interval observer design for this kind of systems.
T. A. Kharkovskaia +2 more
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A hidden Markov model and reinforcement learning‐based strategy for fault‐tolerant control
Abstract This study introduces a data‐driven control strategy integrating hidden Markov models (HMM) and reinforcement learning (RL) to achieve resilient, fault‐tolerant operation against persistent disturbances in nonlinear chemical processes. Called hidden Markov model and reinforcement learning (HMMRL), this strategy is evaluated in two case studies
Tamera Leitao +2 more
wiley +1 more source
On the Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations [PDF]
Using Schauder Tychonoff fixed point theorem and the technique of Kronecker product of matrices, we prove existence results for Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations.
openaire +2 more sources
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source
Stability analysis of nonlinear Lyapunov systems associated withan nth order system of matrix differential equations [PDF]
This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for the solution of the nonhomogeneous nonlinear nth order matrix Lyapunov differential system.
Murty, K. N., Shaw, Michael D.
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ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley +1 more source
On the Computation of Derivatives within LD Factorization of Parametrized Matrices
The paper presents a new method for calculating the values of derivatives in the LD factorization of parametrized matrices, based on the direct procedure for the modified weighted Gram-Schmidt orthogonalization.
Yu. V. Tsyganova, A. V. Tsyganov
doaj +1 more source

