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1.
Based on the concept of optimal control solution to dynamic system parameters identification and the optimal control theory
of deterministic system, dynamics system parameters identification problem is brought into correspondence with optimal control
problem. Then the theory and algorithm of optimal control are introduced into the study of dynamic system parameters identification.
According to the theory of Hamilton-Jacobi-Bellman (HJB) equations' solution, the existence and uniqueness of optimal control
solution to dynamic system parameters identification are resolved in this paper. At last the parameters identification algorithm
of determi-nistic dynamic system is presented also based on above mentioned theory and concept.
Project supported by the National, Defence Science and Technology Foundation (A966000-50) and the Across Century Scientist
Foundation from the State Education Commission of China 相似文献
2.
IntroductionInthestudyofactualdynamicsystemanditsparametersidentificationproblem,stochasticinputandstochasticparametersarefrequentlyencountered.Suchstochasticfactorsleadtomanycharacteristicsquitedifferenttodeterndnisticsystem.Therefore,theparametersidentificationofstochasticdynamicsystemhasawidersignificance.Similartodeterministicsystem,stochasticdynamicsystemparametersidentificationproblemcanalsobetransformedintoagroupofstochasticdynamicsystemsparametersidentificationproblemwhichisparameteriz… 相似文献
3.
Based on the contents Of part (Ⅰ) and stochastic optimal control theory, the concept of optimal control solution to parameters identification of stochastic dynamic system is discussed at first. For the completeness of the theory developed in this paper and part (Ⅰ), then the procedure of establishing HamiltonJacobi-Bellman (HJB) equations of parameters identification problem is presented.And then, parameters identification algorithm of stochastic dynamic system is introduced. At last, an application example-local nonlinear parameters identification of dynamic system is presented. 相似文献
4.
For the first time, Hamiltonian system used in dynamics is introduced to formulate statics and Hamdtonian equation is derived corresponding to the original governing equation, which enables separation of variables to work and eigen function to be obtained for the boundary problem. Consequently, analytical and semi-analytical solutions can be got. The method is especially suitable to solve rectangular plane problem and spatial prism in elastic mechanics. The paper presents a new idea to solve partially differential equation in solid mechanics. The flexural problem and phane stress problem of laminated plate are studied in detail. 相似文献
5.
HAMILTONIAN SYSTEM AND SIMPLETIC GEOMETRY IN MECHANICS OF COMPOSITE MATERIALS(Ⅰ)——FUNDAMENTAL THEORY
For the first time, Hamiltonian system used in dynamics is introduced to formulate statics and Hamiltonian equation is derived
corresponding to the original governing equation, which enables separation of variables to work and eigen function to be obtained
for the boundary problem. Consequently, analytical and semi-analytical solutions can be got. The method is especially suitable
to solve rectangular plane problem and spatial prism in elastic mechanics.
The paper presents a new idea to solve partially differential equation in solid mechanics. The flexural problem and plane
stress problem of laminated plate are studied in detail.
This project is supported by National Natural Science Foundation of China for Post-Doctorate Research. 相似文献
6.
I.Intr0ductionNonlocallinearelasticitytheoryisp0ssible0fbuildingthebridgebetweenmicrostructuresofmaterialsandtheirmacrosc0picmechanicsbehaviorsduet0consideringthelong-rangeforcesamongmicroscopicparticles.SincenonIocalfieldtheorywasadvanced,aseriesresultsl… 相似文献
7.
In the linear nonlocal elasticity theory, the solution to the boundary-value problem of the crack with a constant stress boundary
condition does not exist. This problem has been studied in this paper. The contents studied contain of examining objectivity
of the energy balance, deducing the constitutive equations of nonlocal thermoelastic bodies, and determining nonlocal force
and the linear nonlocal elasticity theory. Some new results are obtained. Among them, the stress boundary condition derived
from the linear theory not only solves the problem mentioned at the beginning, but also contains the model of molecular cohesive
stress on the sharp crack tip advanced by Barenblatt. 相似文献
8.
1.Intr0ductionInrecentyears,multilayersandwichshells,duetotheirhighrigidityandlightweight,havefoundwideapplicationinaeronautical,astronauticalandnavalengineerings.Withpropermaterialsforfacingsandcores,theshellsmaypossessshock-mitigating,thermal-insulating… 相似文献
9.
NONLINEAR THEORY OF MULTILAYER SANDWICH SHELLS AND ITS APPLICATION (Ⅰ)──GENERAL THEORY 总被引:1,自引:1,他引:0
In this paper, a nonlinear theory is given for multilayer sandwich shells undergoing small strains and moderate rotations.
Then a simplified theory for the shells undergoing moderate or moderate/small rotations are obtained. 相似文献
10.
In this paper the definitions of generalized transfer functios of control system and itscontinuity are presented.Using generalized transfer function as a tool,a set of theorems fordeciding movement stability have been constructed.Thus basing understanding of thecharacteristics of a control dynamics system on its measured procedure will simplify thedecision method of movement stability problems. 相似文献
11.
InPartl,anonlineartheoryformultilayersand`"ichshellsundergoingsmallstrainsandmoderaterotatiol1sisgiven-inwhichtranst'ersesheardeformationisconsidered.Thesimplifiedtheoryfortheshellsundergoingmoderateormoderate/smallrotationsisalsoPresented.Theexpressionsi… 相似文献
12.
BASIC THEORY AND APPLICATIONS OF PROBABILISTIC METRIC SPACES (Ⅰ) 总被引:1,自引:1,他引:1
Zhang Shi-sheng 《应用数学和力学(英文版)》1988,9(2):123-133
This paper is devoted to the study of the basic theory and applications of probabilistic metric spaces (PM-space). In this
paper the topological structure and properties for PM-space are considered. The conditions of metrization and the form of
metric functions for PM-spaces. Menger PM-spaces and probabilistic normed linear spaces (PN-space) are given and the characterizations
of various probabilistically bounded sets are presented. As applications we utilize these results obtained in this paper to
study the linear operator theory and fixed point theory on PM-spaces.
Projects supported by the Science Fund of the Chinese Academy of Sciences. 相似文献
13.
BASIC THEORY AND APPLICATIONS OF PROBABILISTIC METRIC SPACES(Ⅰ) 总被引:1,自引:0,他引:1
张石生 《应用数学和力学(英文版)》1988,(2)
This paper is devoted to the study of the basic theory and applications of probabilistic metric spaces (PM-space). In this paper the topological structure and properties for PM-space are considered. The conditions of metrization and the form of metric functions for PM-spaces. Menger PM-spaces and probabilistic normed linear spaces (PN-space ) are given and the characterizations of various probabilistically bounded sets are presented. As applications we utilize these results obtained in this paper to study the linear operator theory and fixed point theory on PM-spaces. 相似文献
14.
This paper applied the simplified theory for multilayer sandwich shells undergoing moderate/small rotations in Ref. [1] to
shallow shells. The equilibrium equations and boundary conditions of large deflection of orthotropic and the special case,
isotropic shells, are presented. 相似文献
15.
INVESTIGATION AND APPLICATIONS OF PANSYSTEMS RECOGNITION THEORY AND PANSYSTEMS-OPERATIONS RESEARCH OF LARGE-SCALE SYSTEMS (Ⅰ) 总被引:1,自引:0,他引:1
吴学谋 《应用数学和力学(英文版)》1984,(1)
In this work, a sort of recognition theory and operations research of large scale systems are developed within the framework of pansystems methodology. We establish a series of theorems concerning pansystems relations, which discuss some fundamental problems of interdisciplines from the viewpoint of generalized system-transformation-symmetry in things mechanism, and are connected closely with mathematical physics systems thinking science bioecological sciences and the methodological investigation of mechanical foundation. This paper offers 100 pansystems theorems. 相似文献
16.
INVESTIGATION AND APPLICATIONS OF PANSYSTEMS RECOGNITION THEORY AND PANSYSTEMS-OPERATIONS RESEARCH OF LARGE-SCALE SYSTEMS(Ⅰ) 总被引:2,自引:2,他引:0
Wu Xue-mou 《应用数学和力学(英文版)》1984,5(1):995-1010
In this work, a sort of recognition theory and operations research of large scale systems are developed within the framework of pansystems methodology. We establish a series of theorems concerning pansystems relations, which discuss some fundamental problems of interdisciplines from the viewpoint of generalized system-transformation-symmetry in things mechanism, and are connected closely with mathematical physics systems thinking science bioecological sciences and the methodological investigation of mechanical foundation. This paper offers 100 pansystems theorems. 相似文献
17.
董明德 《应用数学和力学(英文版)》1984,(5)
In the analytic theory of differential equations the exact explicit analytic solution has not been obtained for equations of the non-Fuchsian type (Poincare's problem).The new theory proposed in this paper for the first time affords a qeneral method of finding exact analytic expression for irregular integrals. By discarding the assumption of formal solution of classical theory, our method consists in deriving a correspondence relation from the equation itself and providing the analytic structure of irregular integrals naturally by the residue theorem. Irregular integrals are made up of three parts: noncontracted part, represented by ordinary recursion series, all-and semi-contracted part by the so-called tree series. Tree series solutions belong to analytic function of the new kind with recursion series as the special case only. The purpose of our present paper consists of the establishment of a general theory for the irregular integrals. For this it is needed to elucidate the essence of Poincare's prob 相似文献
18.
董明德 《应用数学和力学(英文版)》1984,5(5):1617-1632
In the analytic theory of differential equations the exact explicit analytic solution has not been obtained for equations of the non-Fuchsian type (Poincare's problem). The new theory proposed in this paper for the first time affords a general method of finding exact analytic expres-sion for irregular integrals.By discarding the assumption of formal solution of classical theory,our method consists in deriving a cor-respondence relation from the equation itself and providing the analytic structure of irregular integrals naturally by the residue theorem. Irregular integrals are made up of three parts: noncontracted part,represented by ordinary recursion series,all-and semi-contracted part by the so-called tree series. Tree series solutions belong to analytic function of the new kind with recursion series as the special case only. 相似文献
19.
In this paper we extend Poincare’s nonlinear oscillation theory of discrete system to continuum mechanics. First we investigate the existence conditions of periodic solution for linear continuum system in the states of resonance and non-resonance. By applying the results of linear theory, we prove that the main conclusion of Poincare’s nonlinear oscillation theory can be extended to continuum mechanics. Besides, in this paper a new method is suggested to calculate the periodic solution in the states of both resonance and nonresonance by means of the direct perturbation of partial differential equation and weighted integration. 相似文献
20.
余燊 《应用数学和力学(英文版)》1988,(7)
Based on the SU(2)-structure, the identification procedures of Eddington and Werl are followed in order to see what logical conclusions these two schemes lead to. 相似文献