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Linearization of switched non-linear systems 期刊论文
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2010, 卷号: 32, 期号: 6, 页码: 677-705
Authors:  Yuan, Yanyan;  Qiao, Yupeng;  Cheng, Daizhan
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Lie derivative  quotient vector field  semi-tensor product of matrices  singular state feedback  state feedback linearization  switched non-linear system  
Exterior difference system on hypercubic lattice 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2007, 卷号: 99, 期号: 1, 页码: 97-116
Authors:  Xie, Zheng;  Li, Hongbo
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exterior difference system  discrete Frobenius theorem  discrete Cartan-Kahler theorem  discrete retraction theorem  noncommutative calculus  
Weyl type algebras from quantum tori 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2006, 卷号: 8, 期号: 2, 页码: 135-165
Authors:  Zhao, KM
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quantum torus  simple associative algebra  derivation  second cohomology group  isomorphism  
Hamiltonian mechanics on Kahler manifolds 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2006, 卷号: 27, 期号: 3, 页码: 353-362
Authors:  Zhang, RY
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Kahler manifold  connection  absolute differential  Lie derivative  Hamiltonian vector  1-parameter group  
Invariant form and integral invariants on Kahler manifold 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2006, 卷号: 27, 期号: 2, 页码: 269-278
Authors:  Zhang, RY
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Kahler manifold  symplectic manifold  invariant form  integral invariant  vector field  form field  Lie derivative  exterior differential  
Intrinsic differential geometry with geometric calculus 期刊论文
COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS, 2005, 卷号: 3519, 页码: 207-216
Authors:  Li, HB;  Cao, LN;  Cao, NB;  Sun, WK
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intrinsic differential geometry  Clifford algebra  mathematics mechanization  symbolic geometric computing  
Stabilization of general nonlinear control systems via center manifold and approximation techniques 期刊论文
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2004, 卷号: 10, 期号: 3, 页码: 315-327
Authors:  Cheng, DZ;  Xi, ZR;  Feng, G
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general nonlinear control system  accessibility Lie algebra  stabilization  center manifold  
Normal form representation of control systems 期刊论文
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2002, 卷号: 12, 期号: 5, 页码: 409-433
Authors:  Cheng, DZ;  Martin, CF
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normal form  matrix representation of ad(L)  kth degree linearization  Brunowsky canonical form  least square approximation  
Automorphism groups of Weyl-type algebras 期刊论文
MANUSCRIPTA MATHEMATICA, 2002, 卷号: 107, 期号: 2, 页码: 207-214
Authors:  Lu, RC;  Zhao, KM
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Dynamics in Newtonian Riemannian space-time (IV) 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2001, 卷号: 22, 期号: 4, 页码: 448-459
Authors:  Zhang, RY
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Riemannian manifold  tangent bundle  cotangent bundle  fiber bundle  fiber  vector field  form field  exterior differential  absolute differential  Lie derivative  functional  variation