oalib

Publish in OALib Journal

ISSN: 2333-9721

APC: Only $99

Submit

Any time

2014 ( 1 )

2013 ( 4 )

2012 ( 13 )

2011 ( 6 )

Custom range...

Search Results: 1 - 10 of 44 matches for " Grienggrai Rajchakit and Piyapong Niamsup "
All listed articles are free for downloading (OA Articles)
Page 1 /44
Display every page Item
A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay
Manlika Rajchakit, Grienggrai Rajchakit and Piyapong Niamsup
Advances in Difference Equations , 2013, DOI: 10.1186/1687-1847-2013-44
Abstract: This paper studies the problem for exponential stability of switched recurrent neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a set of argumented Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, a switching rule for exponential stability for of switched recurrent neural networks with interval time-varying delay is designed via linear matrix inequalities, and new sufficient conditions for the exponential stability of switched recurrent neural networks with interval time-varying delay via linear matrix inequalities(LMIs). A numerical example is given to illustrate the effectiveness of the obtained result.
Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays
Manlika Rajchakit,Grienggrai Rajchakit
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/623014
Abstract: This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, a switching rule for the mean square exponential stability of switched stochastic system with interval time-varying delays and new delay-dependent sufficient conditions for the mean square exponential stability of the switched stochastic system are first established in terms of LMIs. Numerical example is given to show the effectiveness of the obtained result.
A characterization of M?bius transformations
Piyapong Niamsup
International Journal of Mathematics and Mathematical Sciences , 2000, DOI: 10.1155/s0161171200010255
Abstract: We give a new invariant characteristic property of Möbiustransformations.
Dynamics of Newton's functions of Barna's polynomials
Piyapong Niamsup
International Journal of Mathematics and Mathematical Sciences , 2002, DOI: 10.1155/s0161171202010475
Abstract: We define Barna's polynomials as real polynomials with all real roots of which at least four are distinct. In this paper, we study the dynamics of Newton's functions of such polynomials. We also give the upper and lower bounds of the Hausdorff dimension of exceptional sets of these Newton's functions.
Controllability Approach to H Infinity Control Problem of Linear Time-Varying Switched Systems
Piyapong Niamsup
Lecture Notes in Engineering and Computer Science , 2008,
Abstract:
-factors and -factors for near quasinorm on certain sequence spaces
Piyapong Niamsup,Yongwimon Lenbury
International Journal of Mathematics and Mathematical Sciences , 2005, DOI: 10.1155/ijmms.2005.2441
Abstract: We study the multiplicativity factor and quadraticity factor for near quasinorm on certain sequence spaces of Maddox, namely, l(p) and l∞(p), where p=(pk) is a bounded sequence of positive real numbers.
Analytic solution of certain second-order functional differential equation
Theeradach Kaewong,Piyapong Niamsup
International Journal of Mathematics and Mathematical Sciences , 2006, DOI: 10.1155/ijmms/2006/53828
Abstract: We consider the existence of analytic solutions of a certain class of iterative second-order functional differential equation of the form x″(x[r](z))=c0z2
An LMI Approach to Stability for Linear Time-Varying System with Nonlinear Perturbation on Time Scales
Kanit Mukdasai,Piyapong Niamsup
Abstract and Applied Analysis , 2011, DOI: 10.1155/2011/860506
Abstract: We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, -uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on time scales. We construct appropriate Lyapunov functions and derive several stability conditions. Numerical examples are presented to illustrate the effectiveness of the theoretical results.
Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay
M. Rajchakit,P. Niamsup,T. Rojsiraphisal,G. Rajchakit
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/587426
Abstract: This paper studies the problem of guaranteed cost control for a class of uncertaindelayed neural networks. The time delay is a continuous function belonging to a giveninterval but not necessary to be differentiable. A cost function is considered as anonlinear performance measure for the closed-loop system. The stabilizing controllersto be designed must satisfy some exponential stability constraints on the closed-looppoles. By constructing a set of augmented Lyapunov-Krasovskii functionals combinedwith Newton-Leibniz formula, a guaranteed cost controller is designed via memorylessstate feedback control, and new sufficient conditions for the existence of the guaranteedcost state feedback for the system are given in terms of linear matrix inequalities(LMIs). Numerical examples are given to illustrate the effectiveness of the obtainedresult.
Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear Perturbations
Kanit Mukdasai,Akkharaphong Wongphat,Piyapong Niamsup
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/348418
Abstract:
Page 1 /44
Display every page Item


Home
Copyright © 2008-2017 Open Access Library. All rights reserved.