In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space. Examples includeâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

- Reza Olfati-Saber Control
- 2007

In this paper, we present a theoretical framework for design and analysis of distributed flocking algorithms. Two cases ofâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

Let (Xn, n â‰¥ 0) be a random dynamical system and its state space be endowed with a reasonable topology. Instead of completing theâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- Frans Jacobs, Sebastian J. Schreiber
- SIAM J. Applied Dynamical Systems
- 2006

Let F : M â†’ M be a continuous dissipative map of a separable metric space M . Consider a finite collection A of closed F -forwardâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples. Inâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

1 Strongly Order-Preserving Semiflows 6 1.1 Definitions and Basic Results . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2â€¦Â (More)

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Highly Cited

2003

Highly Cited

2003

- John Lygeros, Karl Henrik Johansson, Slobodan N. Simic, Jun Zhang, S. Shankar Sastry
- IEEE Trans. Automat. Contr.
- 2003

Hybrid automata provide a language for modeling and analyzing digital and analogue computations in real-time systems. Hybridâ€¦Â (More)

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Highly Cited

1995

Highly Cited

1995

- Randall D. Beer
- Artif. Intell.
- 1995

Using the language of dynamical systems theory, a general theoretical framework for the synthesis and analysis of autonomousâ€¦Â (More)

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Highly Cited

1991

Highly Cited

1991

- Richard E. Mortensen
- SIAM Review
- 1991

5. M. Green, J. Schwarz, and E. Witten, Superstring theory, Cambridge Univ. Press, 1987. 6. J. Isenberg, P. Yasskin, and P. Greenâ€¦Â (More)

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Highly Cited

1990

Highly Cited

1990

- Kumpati S. Narendra, Kannan Parthasarathy
- IEEE Trans. Neural Networks
- 1990

It is demonstrated that neural networks can be used effectively for the identification and control of nonlinear dynamical systemsâ€¦Â (More)

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Highly Cited

1969

Highly Cited

1969

- G. A. Hedlund
- Mathematical systems theory
- 1969

Let X(Se) be the set of all bisequences over a symbol set 6 a, where 1 < card S# < 0% and let cr be the shift transformation. Ifâ€¦Â (More)

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