Results 41 to 50 of about 280,795 (285)
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
Liouvillian first integrals of quadratic–linear polynomial differential systems
Journal of Mathematical Analysis and Applications, 2011 Agraïments: The second author has been partially supported by FCT through CAMGSD, Lisbon. For a large class of quadratic-linear polynomial differential systems with a unique singular point at the origin having non-zero eigenvalues, we classify the ones which have a Liouvillian first integral, and we provide the explicit expression of them.
Llibre, Jaume, Valls, Clàudia
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Linear-Quadratic Stochastic Stackelberg Differential Games for Jump-Diffusion Systems [PDF]
SIAM Journal on Control and Optimization, 2021 This paper considers linear-quadratic (LQ) stochastic leader-follower Stackelberg differential games for jump-diffusion systems with random coefficients. We first solve the LQ problem of the follower using the stochastic maximum principle and obtain the state-feedback representation of the open-loop optimal solution in terms of the integro-stochastic ...
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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source
Algorithm for Liapunov stability analysis [PDF]
, 1972 Development of algorithm provides automatic computation of quadratic estimate of domain of stability for stable equilibrium states of nonlinear systems of ordinary differential ...
Cohen, V. D. +2 more
core +1 more source
Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
On stability of some examples of ternary differential critical systems with quadratic nonlinearities
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiStarting with Example 1 of A.M. Lyaponov's thesis [1] (§32), which represents a ternary differential system with quadratic nonlinearities, examples of differential systems of the generalized Darboux type were constructed in the critical case.
Natalia Neagu, Mihail Popa
doaj +1 more source
On point dissipative N-dimensional systems of differential equations with quadratic nonlinearity
International Journal of Mathematics and Mathematical Sciences, 1993 Known sufficient conditions for quadratic dynamical system x′=Ax+f(x) to be point dissipative given in terms of A and f for dimensions 2 and 3 are extended to allow for more general forms for the nonlinear term f(x). Furthermore, the conditions extend to
Anil K. Bose +2 more
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Axioms, 2020 An effective algorithm for solving quadratic Riccati differential equation (QRDE), multipantograph delay differential equations (MPDDEs), and optimal control systems (OCSs) with pantograph delays is presented in this paper.
Fateme Ghomanjani, Stanford Shateyi
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Reduction Methods and Chaos for Quadratic Systems of Differential Equations [PDF]
Studies in Applied Mathematics, 2015 We consider systems of differential equations with quadratic nonlinearities having applications for biochemistry and population dynamics, which may have a large dimension n. Due to the complexity of these systems, reduction algorithms play a crucial role in study of their large time behavior.
Vakulenko, S., Grigoriev, D., Weber, A.
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