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【期刊论文】Relaxed controls for a class of strongly nonlinear delay evolution equations☆
项筱玲, X. Xiang a, *, P. Sattayatham b, Wei Wei a
X. Xiang et al./nonlinear Analysis 52(2003)703-723,-0001,():
-1年11月30日
Relaxed controls for a class of strongly nonlinear delay evolution equations are investigated. Existence of solutions of strongly nonlinear delay equations is proved and properties of original and relaxed trajectories are discussed. The existence of optimal relaxed controls and relaxation result are also presented. For illustration, two examples are given.
Delay evolution equations, Nonlinear monotone operator, Evolution triple, Measurable multifunction, Relaxation
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项筱玲, X. Xiang; Y. Peng, and W. Wei
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Supplement Volume 2005, 911-919,-0001,():
-1年11月30日
In this paper quite general impulsive integral di-α-erential equations on Banach space are considered. Existence of PWC-α-mild solutions is proved. Existence of optimal controls of systems governed by impulsive integral di®erential equations is also presented. An example is given for demonstration.
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【期刊论文】STRONGLY NONLINEAR IMPULSIVE SYSTEM AND NECESSARY CONDITIONS OF OPTIMALITY1
项筱玲, X. Xiang, W. Wei and Y. Jiang
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 12(2005)811-824,-0001,():
-1年11月30日
In this paper, we consider optimal control of strongly nonlinear impulsive systems driven by impulse controls in infinite dimensions. PWC solution is introduced and existence of solutions for impulsive system is proved. We present the necessary conditions of optimality for a general Bolza problem. An example is also given.
Optimal control, Nonlinear monotone operator, Impulsive system, Necessary Condition, Existence
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