In this work, we consider Nelder-Mead method to tackle the output

feedbackeigenvalue assignment problem for discrete–time control

systems. First, we reformulate this problem as a constrained minimization

problem. Then by applying apenalty-method approach we find a local

solution to the problem using Nelder-Meadmethod. The performance of

the method is illustrated through some test problemsfrom the literature.

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In this paper, the discrete–time periodic static output feedback control design problem is considered. A

hybrid conjugate gradient methods are analyzed and studied to tackle an equivalent optimization problem of this

optimal control problem. Finally, the proposed algorithms are tested numerically through several test problems

from the benchmark collection.

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In this article, we consider the output feedback eigenvalue assignment problem for

continuous and discrete–time control systems. This problem is formulated as unconstrained matrix optimization problems and tackled by the Nelder–Mead simplex

method and particle swarm optimization method. The two methods are extended to

compute the approximate solutions of the eigenvalue assignment problem for the particular cases of decentralized and periodic control systems. The performance of the

methods is demonstrated numerically on several test problems from the benchmark

collection [22] as well as other test examples from the system and control literature.

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Te output feedback eigenvalue assignment problem for discrete-time systems is considered. Te problem is formulated frst as

an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to fnd a local

solution. In addition, a cut to the objective function is included, yielding an inequality constrained minimization problem, where a

logarithmic barrier method is proposed for fnding the local solution. Te conjugate gradient method is further extended to tackle

the eigenvalue assignment problem for the two cases of decentralized control systems and control systems with time delay. Te

performance of the methods is illustrated through various test examples.

The Holling type II harvesting term has the property that it is small for small population values, but grows monotonically with population growth, eventually saturating, at a constant value for very large populations. We consider here a population evolving according to a logistic rate, but harvested (predated) subject to a Holling type II harvesting term that varies slowly with time, possibly due to slow environmental variation. Application of a multitiming method gives us an approximation to the population at any time in two cases- survival to a slowly varying limit, and extinguishment to zero. The situation where there is a transition from survival to extinction is also analyzed, using a matched expansions approach. A uniformly valid approximate expression for the population, valid for all times is obtained. These results are shown to agree well with the results of numerical calculations.

The object of the present paper is to derive some results on differential subordination associated with a generalized derivative operator for certain normalized analytic functions in the open unit disc. The authors establish sandwich type theorems. These results extend many previously known results.

The object of the present paper is to introduce a new subclass of p-valent starlike functions with negative coefficients in the open unit disc which is defiined by a generalized derivative operator. We obtain coefficient inequalities, growth and distortion theorems and extreme points for the subclass of p-valent functions.