Control Theory and Informatics
http://www.iiste.org/Journals/index.php/CTI
<p><span id="internal-source-marker_0.04939836589619517">Control Theory and InformaticsÂ <span id="internal-source-marker_0.04939836589619517">is a peer reviewed journal published by IISTE. The journal publishes original papers at the forefront of classic and modern control theory, informatics research and their applications. The journal is published in both printed and online versions. The online version is free access and download.</span></span></p><p><span><span>IISTE is member ofÂ <a href="http://www.crossref.org/01company/17crossref_members.html">CrossRef</a>.<br /></span></span></p>en-USadmin@iiste.org (Alexander Decker)admin@iiste.org (John Nagoo)Wed, 30 Jul 2014 07:01:47 +0000OJS 2.3.7.0http://blogs.law.harvard.edu/tech/rss60The Discrete Quartic Spline Interpolation Over Non Uniform Mesh
http://www.iiste.org/Journals/index.php/CTI/article/view/14135
<p>The objective of the paper is to investigate precise error estimate concerning deficient discrete quartic spline interpolation.</p> <p>Mathematics subject classification code:<strong> </strong>65D07<strong> </strong></p> <p><strong>Key words:</strong> Deficient, Discrete, Quartic Spline, Interpolation, Error Bounds</p>Y.P. Dubey, K.K. Parohahttp://www.iiste.org/Journals/index.php/CTI/article/view/14135ON COMMON RANDOM FIXED POINTS OF MAPPINGS IN HILBER SPACE
http://www.iiste.org/Journals/index.php/CTI/article/view/14136
<p class="Default">The We find common random fixed point of two random operator in closed convex subset of separable Hilbert space by considering a sequence of measurable function satisfying condition A,B and C.</p> <p class="Default"><strong>Key wards</strong>: common fixed point, rational expression, hilbert space random variable</p>PIYUSH M. PATEL, RAMAKANT Bhardwaj, Sabhakant Dwivedihttp://www.iiste.org/Journals/index.php/CTI/article/view/14136Implicit Lyapunov Control for the Quantum Liouville Equation
http://www.iiste.org/Journals/index.php/CTI/article/view/14137
<p>A quantum system whose internal Hamiltonian is not strongly regular or/and control Hamiltonians are not full connected, are thought to be in the degenerate cases. The most actual quantum systems are in these degenerate cases. In this paper, convergence problems of the multi-control Hamiltonians closed quantum systems in the degenerate cases are solved by introducing implicit function perturbations and choosing an implicit Lyapunov function based on the average value of an imaginary mechanical quantity. For the diagonal and non-diagonal target states, respectively, control laws are designed. The convergence of the control system is proved, and an explicit design principle of the imaginary mechanical quantity is proposed. By using the proposed method, the multi-control Hamiltonians closed quantum systems in the degenerate cases can converge from any initial state to an arbitrary target state unitarily equivalent to the initial state in most cases. Finally, numerical simulations are studied to verify the effectiveness of the proposed control method. The problem solved in this paper about the state transfer from any initial state to arbitrary target state of the quantum systems in degenerate cases approaches a big step to the control of actual systems.</p> <p><strong>Keywords: </strong>perturbations, Lyapunov control, degenerate, convergence, non-diagonal target state</p>Shuang Cong, Fangfang Meng, Jianxiu Liuhttp://www.iiste.org/Journals/index.php/CTI/article/view/14137Unique Fixed Point Theorem For Asymptotically Regular Maps In Hilbert Space
http://www.iiste.org/Journals/index.php/CTI/article/view/14138
<p>The object of this paper is to obtain unique fixed point theorems for asymptotically regular maps and sequence in Hilbert Space.</p> <p><strong>Keywords</strong><strong>:</strong> Hilbert Space, Asymptotically Regular Map, Asymptotically Regular Sequence.</p>Pravin B. Prajapati, Ramakant Bhardwaj, SabhaKant Dwivedihttp://www.iiste.org/Journals/index.php/CTI/article/view/14138