Decision making in an incompletely known stochastic system, II
S. Trybuła, K. Szajowski (1987)
Applicationes Mathematicae
S. Trybuła, K. Szajowski (1987)
Applicationes Mathematicae
Mehmet Emir Koksal (2016)
Open Mathematics
Necessary and sufficiently conditions are derived for the decomposition of a second order linear time- varying system into two cascade connected commutative first order linear time-varying subsystems. The explicit formulas describing these subsystems are presented. It is shown that a very small class of systems satisfies the stated conditions. The results are well verified by simulations. It is also shown that its cascade synthesis is less sensitive to numerical errors than the direct simulation...
Fabio Ancona (1996)
Annales de l'I.H.P. Analyse non linéaire
Kengy Barty, Pierre Carpentier, Pierre Girardeau (2010)
RAIRO - Operations Research
In this paper, we present an Uzawa-based heuristic that is adapted to certain type of stochastic optimal control problems. More precisely, we consider dynamical systems that can be divided into small-scale subsystems linked through a static almost sure coupling constraint at each time step. This type of problem is common in production/portfolio management where subsystems are, for instance, power units, and one has to supply a stochastic power demand at each time step. We outline the framework...
Bernard Wyrwoł, Edward Hrynkiewicz (2013)
International Journal of Applied Mathematics and Computer Science
The paper presents the design and implementation of a digital rule-relational fuzzy logic controller. Classical and decomposed logical structures of fuzzy systems are discussed. The second allows a decrease in the hardware cost of the fuzzy system and in the computing time of the final result (fuzzy or crisp), especially when referring to relational systems. The physical architecture consists of IP modules implemented in an FPGA structure. The modules can be inserted into or removed from the project...
Czesław Cempel (2008)
International Journal of Applied Mathematics and Computer Science
With the tools of modern metrology we can measure almost all variables in the phenomenon field of a working machine, and many of the measured quantities can be symptoms of machine conditions. On this basis, we can form a symptom observation matrix (SOM) intended for condition monitoring and wear trend (fault) identification. On the other hand, we know that contemporary complex machines may have many modes of failure, called faults. The paper presents a method of the extraction of the information...
Tomasz Barszcz (2009)
International Journal of Applied Mathematics and Computer Science
The paper investigates the possibility of decomposing vibration signals into deterministic and nondeterministic parts, based on the Wold theorem. A short description of the theory of adaptive filters is presented. When an adaptive filter uses the delayed version of the input signal as the reference signal, it is possible to divide the signal into a deterministic (gear and shaft related) part and a nondeterministic (noise and rolling bearings) part. The idea of the self-adaptive filter (in the literature...
Michel Fliess (1985)
Bulletin de la Société Mathématique de France
Su, Liyun, Li, Fenglan (2010)
Mathematical Problems in Engineering
Konstadinos H. Kiritsis, Trifon G. Koussiouris (2002)
Kybernetika
In this paper a system-theoretic approach is used to solve the decoupling in combination with the arbitrary pole assignment problem by constant output feedback and a constant nonsingular input transformation. Explicit necessary and sufficient conditions are given and a procedure is described for the determination of the control law.
Manolis A. Christodoulou (1991)
Kybernetika
Leyla Gören, Müjde Güzelkaya (1996)
Kybernetika
S. Nikitin (1996)
Mathematica Bohemica
The existence of the normalizing transformation completely decoupling the stable dynamic from the center manifold dynamic is proved. A numerical procedure for the calculation of the asymptotic series for the decoupling normalizing transformation is proposed. The developed method is especially important for the perturbation theory of center manifold and, in particular, for the local stabilization theory. In the paper some sufficient conditions for local stabilization are given.
Ocone, Daniel, Weerasinghe, Ananda (2003)
Electronic Journal of Probability [electronic only]
P. Charrier (1976)
Banach Center Publications
Ján Uličný (1970)
Kybernetika
Chinnamuniyandi Maharajan, Chandran Sowmiya, Changjin Xu (2024)
Kybernetika
This paper investigates the stability in an exponential sense of complex-valued Bidirectional Associative Memory (BAM) neural networks with time delays under the stochastic and impulsive effects. By utilizing the contracting mapping theorem, the existence and uniqueness of the equilibrium point for the proposed complex-valued neural networks are verified. Moreover, based on the Lyapunov - Krasovskii functional construction, matrix inequality techniques and stability theory, some novel time-delayed...
James Louisell (2001)
Kybernetika
In this paper we give an example of Markus–Yamabe instability in a constant coefficient delay differential equation with time-varying delay. For all values of the range of the delay function, the characteristic function of the associated autonomous delay equation is exponentially stable. Still, the fundamental solution of the time-varying system is unbounded. We also present a modified example having absolutely continuous delay function, easily calculating the average variation of the delay function,...
D. Adongo, K.R. Fister (2012)
Mathematical Modelling of Natural Phenomena
We investigate optimal control of a cancer-immune cell interactive model with delay in the interphase compartment. By applying the optimal control theory, we seek to minimize the cost associated with the chemotherapy drug, minimize the accumulation of cancer cells, and increase the immune cell presence. Optimality conditions and characterization of the control are provided. Numerical analyses are given to enhance the understanding of the difficulties...