The Experts below are selected from a list of 228 Experts worldwide ranked by ideXlab platform
X. Xiang - One of the best experts on this subject based on the ideXlab platform.
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Necessary conditions of optimality for second-order nonlinear impulsive integro-differential equations on Banach spaces
Nonlinear Analysis-real World Applications, 2010Co-Authors: Y. Peng, X. XiangAbstract:Abstract We discuss a class of optimal control Problems of systems governed by the second-order nonlinear impulsive integro-differential equations with time-varying generating operators in fractional power spaces. Introducing the reasonable P C – α -mild solution of the second-order nonlinear impulsive integro-differential equations we prove the existence of P C – α -mild solutions. Existence of optimal controls for a Lagrange Problem of systems governed by the second-order nonlinear impulsive integro-equations is presented. We apply a direct approach to derive the maximum principle for the Problem at hand.
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Second-order nonlinear impulsive evolution equations with time-varying generating operators and optimal controls
Optimization, 2008Co-Authors: Y. Peng, X. XiangAbstract:In this article, the second-order nonlinear impulsive evolution differential equations with time-varying generating operators is considered. Constructing evolution systems generated by time-varying operator matrix, we introduce suitable mild solution of the second-order nonlinear impulsive evolution differential equations. The existence and uniqueness of the mild solutions and the continuous dependence on initial value are proved. The existence of the optimal controls for a Lagrange Problem of the systems governed by the second-order nonlinear impulsive evolution equations is also presented. An example is given for demonstration.
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Second order nonlinear impulsive time-variant systems with unbounded perturbation and optimal controls
Journal of Industrial and Management Optimization, 2008Co-Authors: Y. Peng, X. XiangAbstract:This paper is concerned with the second order nonlinear impulsive evolution differential equations perturbed by unbounded operator on Banach space. Discussing the perturbation of time-varying operator matrix and constructing the corresponding evolution system generated by operator matrix we introduce the reasonable mild solution of second order nonlinear impulsive evolution differential equations and prove the existence of mild solutions. Existence of optimal controls for a Lagrange Problem of systems governed by the second order nonlinear impulsive evolution equations is also presented. An example is given for demonstration.
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Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations
Advances in Difference Equations, 2007Co-Authors: Y. Peng, X. XiangAbstract:We discuss the existence of optimal controls for a Lagrange Problem of systems governed by the second-order nonlinear impulsive differential equations in infinite dimensional spaces. We apply a direct approach to derive the maximum principle for the Problem at hand. An example is also presented to demonstrate the theory.
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Optimal Feedback Control for a Class of Strongly Nonlinear Impulsive Evolution Equations
Computers & Mathematics With Applications, 2006Co-Authors: Y. Peng, X. XiangAbstract:In this paper, we consider the optimal feedback control Problems of a system governed by strongly nonlinear impulsive differential equations which contains monotone operators and nonlinear nonmonotone perturbations. Based on the existence of feasible pairs, an existence result of optimal control pairs for the Lagrange Problem is presented.
Y. Peng - One of the best experts on this subject based on the ideXlab platform.
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Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces
Abstract and Applied Analysis, 2011Co-Authors: Y. PengAbstract:A class of second-order nonlinear impulsive integro-differential equations of mixed type whose principal part is given by time-varying generating operators in fractional power spaces is considered. We introduce the reasonable PC-α-mild solution of second-order nonlinear impulsive integro-differential equations of mixed type and prove its existence. The existence of optimal controls for a Lagrange Problem of systems governed by second-order nonlinear impulsive integro-equations of mixed type is also presented. An example is given for demonstration.
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Necessary conditions of optimality for second-order nonlinear impulsive integro-differential equations on Banach spaces
Nonlinear Analysis-real World Applications, 2010Co-Authors: Y. Peng, X. XiangAbstract:Abstract We discuss a class of optimal control Problems of systems governed by the second-order nonlinear impulsive integro-differential equations with time-varying generating operators in fractional power spaces. Introducing the reasonable P C – α -mild solution of the second-order nonlinear impulsive integro-differential equations we prove the existence of P C – α -mild solutions. Existence of optimal controls for a Lagrange Problem of systems governed by the second-order nonlinear impulsive integro-equations is presented. We apply a direct approach to derive the maximum principle for the Problem at hand.
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Second-order nonlinear impulsive evolution equations with time-varying generating operators and optimal controls
Optimization, 2008Co-Authors: Y. Peng, X. XiangAbstract:In this article, the second-order nonlinear impulsive evolution differential equations with time-varying generating operators is considered. Constructing evolution systems generated by time-varying operator matrix, we introduce suitable mild solution of the second-order nonlinear impulsive evolution differential equations. The existence and uniqueness of the mild solutions and the continuous dependence on initial value are proved. The existence of the optimal controls for a Lagrange Problem of the systems governed by the second-order nonlinear impulsive evolution equations is also presented. An example is given for demonstration.
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Second order nonlinear impulsive time-variant systems with unbounded perturbation and optimal controls
Journal of Industrial and Management Optimization, 2008Co-Authors: Y. Peng, X. XiangAbstract:This paper is concerned with the second order nonlinear impulsive evolution differential equations perturbed by unbounded operator on Banach space. Discussing the perturbation of time-varying operator matrix and constructing the corresponding evolution system generated by operator matrix we introduce the reasonable mild solution of second order nonlinear impulsive evolution differential equations and prove the existence of mild solutions. Existence of optimal controls for a Lagrange Problem of systems governed by the second order nonlinear impulsive evolution equations is also presented. An example is given for demonstration.
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Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations
Advances in Difference Equations, 2007Co-Authors: Y. Peng, X. XiangAbstract:We discuss the existence of optimal controls for a Lagrange Problem of systems governed by the second-order nonlinear impulsive differential equations in infinite dimensional spaces. We apply a direct approach to derive the maximum principle for the Problem at hand. An example is also presented to demonstrate the theory.
Alexey A Tretyakov - One of the best experts on this subject based on the ideXlab platform.
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necessary p th order optimality conditions for irregular Lagrange Problem in calculus of variations
Mathematical Communications, 2014Co-Authors: Agnieszka Prusinska, Alexey A TretyakovAbstract:The paper is devoted to singular calculus of variations Problems with constraints which are not regular mappings at the solution point, e.i. its derivatives are not surjective. We pursue an approach based on the constructions of the p-regularity theory. For p-regular calculus of variations Problem we present necessary conditions for optimality in singular case and illustrate our results by classical example of calculus of variations Problem.
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p th order optimality conditions for singular Lagrange Problem in calculus of variations elements of p regularity theory
IFIP Conference on System Modeling and Optimization, 2011Co-Authors: Agnieszka Prusinska, Alexey A Tretyakov, Ewa SzczepanikAbstract:This paper is devoted to singular calculus of variations Problems with constraints which are not regular mappings at the solution point, e.i. its derivatives are not surjective. We pursue an approach based on the constructions of the p-regularity theory. For p-regular calculus of variations Problem we present necessary conditions for optimality in singular case and illustrate our results by classical example of calculus of variations Problem.
P.m. Chau - One of the best experts on this subject based on the ideXlab platform.
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DAC - Prime: A Timing-Driven Placement Tool Using A Piecewise Linear Resistive Network Approach
Proceedings of the 30th international on Design automation conference - DAC '93, 1993Co-Authors: T. Hamada, Chung-kuan Cheng, P.m. ChauAbstract:An approach toward path-oriented timing-driven placement is proposed. We first transform the placement with timing constraints to a Lagrange Problem. A primal-dual approach is used to find the optimal relative module locations. In each primal dual iteration, the primal Problem is solved by a piecewise linear resistive network method, while the dual process is used to update the Lagrange multiplier. The sparsity of the piecewise linear resistive network is exploited to obtain dramatic improvement on the efficiency of the calculation. Up to 22.0% of clock cycle reduction was observed for Primary2 test case.
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Prime: A Timing-Driven Placement Tool Using A Piecewise Linear Resistive Network Approach
30th ACM IEEE Design Automation Conference, 1993Co-Authors: T. Hamada, Chung-kuan Cheng, P.m. ChauAbstract:An approach toward path-oriented timing-driven placement is proposed. We first transform the placement with timing constraints to a Lagrange Problem. A primal-dual approach is used to find the optimal relative module locations. In each primal dual iteration, the primal Problem is solved by a piecewise linear resistive network method, while the dual process is used to update the Lagrange multiplier. The sparsity of the piecewise linear resistive network is exploited to obtain dramatic improvement on the efficiency of the calculation. Up to 22.0% of clock cycle reduction was observed for Primary2 test case.
Jinrong Wang - One of the best experts on this subject based on the ideXlab platform.
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Optimal Controls of Systems Governed by Semilinear Fractional Differential Equations with Not Instantaneous Impulses
Journal of Optimization Theory and Applications, 2017Co-Authors: Jinrong WangAbstract:This paper is concerned on optimal control Problems for systems governed semilinear fractional differential equations with not instantaneous impulses in the infinite dimensional spaces. We utilize fractional calculus, semigroup theory and fixed point approach to present the solvability of the corresponding control system by using the new introduced concept of mild solutions. Next, we give the existence result of optimal controls for Lagrange Problem under the suitable conditions. Finally, an example is given to illustrate the effectiveness of our results.
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Fractional Schrödinger equations with potential and optimal controls
Nonlinear Analysis-real World Applications, 2012Co-Authors: Jinrong Wang, Yong ZhouAbstract:Abstract In this paper, we study fractional Schrodinger equations with potential and optimal controls. The first novelty is a suitable concept on a mild solution for our Problems. Existence, uniqueness, local stability and attractivity, and data continuous dependence of mild solutions are also presented respectively. The second novelty is an initial study on the optimal control Problems for the controlled fractional Schrodinger equations with potential. Existence and uniqueness of optimal pairs for the standard Lagrange Problem are obtained.
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Optimal feedback control for semilinear fractional evolution equations in Banach spaces
Systems & Control Letters, 2012Co-Authors: Jinrong Wang, Yong ZhouAbstract:Abstract In this paper, we study optimal feedback controls of a system governed by semilinear fractional evolution equations via a compact semigroup in Banach spaces. By using the Cesari property, the Fillippove theorem and extending the earlier work on fractional evolution equations, we prove the existence of feasible pairs. An existence result of optimal control pairs for the Lagrange Problem is presented.
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FRACTIONAL FINITE TIME DELAY EVOLUTION SYSTEMS AND OPTIMAL CONTROLS IN INFINITE-DIMENSIONAL SPACES
Journal of Dynamical and Control Systems, 2011Co-Authors: Jinrong Wang, Yong ZhouAbstract:This paper concerns the fractional finite time delay evolution systems and optimal controls in infinite-dimensional spaces. A suitable mild solution of the fractional finite time delay evolution systems is introduced. Using the singular version of the Gronwall inequality with finite time delay, we obtain some sufficient conditions for the existence, uniqueness and continuous dependence of mild solutions of these control systems. A formulation for the fractional Lagrange Problem is introduced. The existence of optimal pairs of fractional-time-delay evolution systems is also presented. Finally, an example is given for demonstration.
