SCOPUS 정보 검색 플랫폼

Volumn 1, Issue , 2006, Pages 185-190

Duality in stability theory: Lyapunov function and Lyapunov measure

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; LYAPUNOV FUNCTIONS; MATHEMATICAL OPERATORS; NONLINEAR DYNAMICAL SYSTEMS;

ERGODIC THEORY; EXPLICIT FORMULA; INVARIANT SET; LINEAR OPERATORS; STABILITY THEORIES;

COMPUTATION THEORY;

EID: 84892674734 PISSN: None EISSN: None Source Type: Conference Proceeding
DOI: None Document Type: Conference Paper

Times cited : (10)

References (13)

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3
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- Ergodic theory of chaos and strange attractors
- J. P. Eckman and D. Ruelle. Ergodic theory of chaos and strange attractors. Rev. Modern Phys., 57:617-656, 1985.
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- Katok, A.¹ Hasselblatt, B.²

5
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- Springer-Verlag, New York
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- (1994) Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics
- Lasota, A.¹ Mackey, M.C.²

6
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- Springer-Verlag, New York
- R. Mane. Ergodic Theory and Differentiable Dynamics. Springer-Verlag, New York, 1987.
- (1987) Ergodic Theory and Differentiable Dynamics
- Mane, R.¹

7
- 4544335073
- Comparison of systems with complex behavior
- I. Mezic and A. Banaszuk. Comparison of systems with complex behavior. Physica D, 197:101-133, 2004.
- (2004) Physica D , vol.197 , pp. 101-133
- Mezic, I.¹ Banaszuk, A.²

8
- 0003406070
- PhD thesis, California Institute of Technology, Pasadena, CA
- P. A. Parrilo. Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization. PhD thesis, California Institute of Technology, Pasadena, CA, 2000.
- (2000) Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization
- Parrilo, P.A.¹

9
- 1442288703
- Nonlinear control synthesis by convex optimization
- S. Prajna, P. A. Parrilo, and A. Rantzer. Nonlinear control synthesis by convex optimization. IEEE Transactions on Automatic Control, 49(2):1-5, 2004.
- (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.2 , pp. 1-5
- Prajna, S.¹ Parrilo, P.A.² Rantzer, A.³

10
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- A dual to Lyapunovs stability theorem
- A. Rantzer. A dual to Lyapunovs stability theorem. Systems & Control Letters, 42:161-168, 2001.
- (2001) Systems & Control Letters , vol.42 , pp. 161-168
- Rantzer, A.¹

11
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- McGraw-Hill, New York
- W. Rudin. Real and Complex analysis. McGraw-Hill, New York, 1987.
- (1987) Real and Complex Analysis
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12
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- Nonlinear systems analysis
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- Vidyasagar, M.¹

13
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- What are SRB measures, and which dynamical systems have them?
- L. Young. What are SRB measures, and which dynamical systems have them? J. Stat. Phys., 108(5):733-754, 2002.
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- Young, L.¹

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