Matrix exponential

Part 2 book "Functions of matrices - Theory and computation" included contents: Schur parlett algorithm; matrix exponential; matrix logarithm; matrix cosine and sine; function of matrix times vector - f(a)b; miscellany.

205p dianmotminh04 12-07-2024 0 0   Download

Movies are a primary source of entertainment, but finding specific content can be challenging given the exponentially increasing number of movies produced each year. Recommendation systems are extremely useful for solving this problem. While various approaches exist, Collaborative Filtering (CF) is the most straightforward.

10p vialicene 02-07-2024 1 0   Download

MDS (maximum distance separable) matrices are ones that come from MDS codes that have been studied for a long time in error correcting code theory and have many applications in block ciphers. To improve the security of block ciphers, dynamic block ciphers can be created. Using MDS matrix transformations is a method used to make block ciphers dynamic.

11p vimulcahy 18-09-2023 6 4   Download

Part 1 of ebook "Inventory and production management in supply chains (Fourth edition)" provides readers with contents including: the context and importance of inventory management and production planning; the importance of inventory management and production planning and scheduling; replenishment systems for managing individual item inventories within a firm; lot sizing for individual items with time-varying demand;...

345p hanlinhchi 29-08-2023 10 5   Download

Ebook Differential equations includes contents: Chapter 1: basic concepts and classifying differential equations; chapter 2: solutions of 1st order differential equations; chapter 3: applications of 1st order DE's; chapter 4: linear differential equations: theory of solutions; chapter 5: solutions of linear homogeneous differential equations with constant coefficients; chapter 6: solutions of linear nonhomogeneous equations and initial-value problems; chapter 7: applications of 2nd order linear differential equations;...

143p haojiubujain03 24-07-2023 5 3   Download

In paper "Mixture of Erlang and exponential approximation for ultimate ruin probability", we investigate the mixture of Erlang and exponential approximation based on the first three moments and the matrix-exponential representation of mixed Erlang and exponential functions. Besides, a number of numerical examples are given to illustrate the quick convergence of the method in the cases of the first three moments of uniform distribution on . Moreover to illustrate this method, a numerical example is given with different initial reserves of insurance company.

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Ebook College algebra (Third edition): Part 2 includes the following content: Chapter 4: Polynomial and relational functions; Chapter 5: Exponential and logarithmic functions; Chapter 6: Systems of equations and inequalities; Chapter 7: Matrices and matrix applications; Chapter 8: Analytical geometry and the conic sections; Chapter 9: Sequences and series: Counting and probability.

422p haojiubujain01 06-06-2023 9 3   Download

Ebook College algebra (9th edition): Part 2 includes the following content: Chapter 6 exponential and logarithmic functions; chapter 7 analytic geometry; chapter 8 systems of equations and inequalities; chapter 9 sequences; induction; the binomial theorem; chapter 10 counting and probability; appendix: graphing utilities. Please refer to the documentation for more details.

401p haojiubujain01 06-06-2023 5 3   Download

This paper "Delay-Dependent Exponential Stability of Linear Systems with Fast Time-Varying Delay" presents new exponential stability conditions for a class of linear systems with time-varying delay. Unlike the previous works, the delay function considered in this paper is time-varying without any requirement on the derivative, which means that a fast time-varying delay is allowed.

9p runordie5 04-07-2022 5 2   Download

The paper "Global exponential stability of switched neutral systems with time-varying delays" deals with the problem of global exponential stability for a class of switched neutral systems with time-varying delays. Based on improved Lyapunov-Krasovskii functional method combined with the Leibniz-Newton formula, linear matrix inequalities (LMIs) conditions are proposed for the exponential stability of the considered systems under arbitrary switching signal. A numerical example showing the effectiveness of our conditions is given.

9p runordie3 27-06-2022 10 3   Download

Bài viết "Sử dụng phương pháp Markov Chain Monte Carlo ước lượng hàm mũ ma trận" trình bày về phương pháp ước lượng hàm phụ thuộc vào một hoặc nhiều phân phối mũ ma trận. Phương pháp được chúng tôi đề nghị sử dụng là Markov chain Monte Carlo nhằm xây dựng quá trình Markov dưới biến mũ ma trận kết hợp với mẫu Gibbs để thu được một dãy độ đo xác suất mũ ma trận dừng từ phân phối hậu nghiệm của quan trắc đã cho.

9p runordie2 06-06-2022 26 1   Download

This paper presents a new result on delay-dependent exponential stability for nonlinear linear systems with interval time-varying delay. By constructing a set of improved Lyapunov-Krasovskii functionals combined with Wirtinger-based integral inequality, a new delay-dependent condition is established in terms of linear matrix inequality (LMI) which guarantees that the system is exponential stability.

8p trinhthamhodang1218 18-03-2021 7 1   Download

This paper deals with the problem of exponential stability for singular systems with interval time-varying delays. By constructing a set of improved Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, a new delay-dependent condition is established in terms of linear matrix inequalities (LMIs) which guarantees that the system is regular, impulse-free and exponentially stability.

11p trinhthamhodang1218 18-03-2021 13 2   Download

This paper deals with the problem of exponential stability of two-dimensional (2D) discrete-time systems with mixed directional time-varying delays. By constructing an improved 2D Lyapunov-Krasovskii functional candidate some new delay-dependent condition for the exponential stability of the system are derived in terms of linear matrix inequalities (LMIs).

11p trinhthamhodang1218 18-03-2021 10 1   Download

An exponential growth of high-throughput biological information and data has occurred in the past decade, supported by technologies, such as microarrays and RNA-Seq. Most data generated using such methods are used to encode large amounts of rich information, and determine diagnostic and prognostic biomarkers.

13p vioklahoma2711 19-11-2020 19 2   Download

In this paper, the problem of exponential stability for a class of nonlinear neutral systems with interval time-varying delay is studied. Based on improved Lyapunov-Krasovskii functionals combine with Leibniz-Newton’s formula, new delay-dependent sufficient conditions for the exponential stability of the systems are established in terms of linear matrix inequalities (LMIs), which allows to compute the maximal bound of the exponential stability rate of the solution.

11p tamynhan8 04-11-2020 14 2   Download

The ultimate stability of nonlinear time-varying systems with multiple delays and bounded disturbances are investigated in this paper. Based on some comparison techniques via differential inequalities, explicit delay-independent conditions are derived for determining an ultimate bound such that all state trajectories of the system converge exponentially within that bound. The obtained results also guarantee exponential stability of the system when the input disturbance vector is ignored. Numerical simulations are given to illustrate the effectiveness of the obtained results.

14p nguathienthan6 06-07-2020 12 1   Download

The following will be discussed in this chapter: Modal solution of driven DT system, underlying structure of LTI DT statespace system with L distinct modes, reachability and observability, hidden modes,...

14p nanhankhuoctai3 25-05-2020 10 1   Download

The stability problem for a class of stochastic neural networks with Markovian jump parameters and leakage delay is addressed in this study. The sufficient condition to ensure an exponentially stable stochastic neural networks system is presented and proven with Lyapunov functional theory, stochastic stability technique and linear matrix inequality method.

13p vivalletta2711 11-01-2020 8 0   Download

The burnup equation of nuclides is one of the most equations in nuclear reactor physics, which is generally coupled with transport calculations. The burnup equation describes the variation of the nuclides with time. Because of its very stiffness and the need for large time step, this equation is solved by special methods, for example transmutation trajectory analysis (TTA) or the matrix exponential methods where the matrix exponential is approximated by CRAM.

5p minhxaminhyeu3 12-06-2019 7 0   Download