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- R E Kalman
- Proceedings of the National Academy of Sciences…
- 1963

- R E Kalman
- Proceedings of the National Academy of Sciences…
- 1969

A new algebraic criterion is given for a polynomial phi with complex coefficients to have all its zeros in a certain type of algebraic region T of the complex plane. In particular, T may be any circle or half plane. The criterion is effectively computable from the coefficients of the polynomial phi. The classical results of Hermite, Hurwitz, Lyapunov,… (More)

- R E Kalman
- Proceedings of the National Academy of Sciences…
- 1962

- Steve Pincus, Rudolf E Kalman
- Proceedings of the National Academy of Sciences…
- 2004

The need to assess subtle, potentially exploitable changes in serial structure is paramount in the analysis of financial data. Herein, we demonstrate the utility of approximate entropy (ApEn), a model-independent measure of sequential irregularity, toward this goal, by several distinct applications. We consider both empirical data and models, including… (More)

- S Pincus, R E Kalman
- Proceedings of the National Academy of Sciences…
- 1997

The need to assess the randomness of a single sequence, especially a finite sequence, is ubiquitous, yet is unaddressed by axiomatic probability theory. Here, we assess randomness via approximate entropy (ApEn), a computable measure of sequential irregularity, applicable to single sequences of both (even very short) finite and infinite length. We indicate… (More)

- Y Rouchaleau, B F Wyman, R E Kalman
- Proceedings of the National Academy of Sciences…
- 1972

The realization theory linear dynamical systems, previously developed over a field, are extended to a large class of commutative rings. The principal result is that the existence criterion for a finite realization extends without modification from a field to a Noetherian integral domain.

- R E Kalman
- Proceedings of the National Academy of Sciences…
- 1965

- Masaru Kamada, Kazuo Toraichi, Rudolf E. Kálmán
- IEEE Trans. Signal Processing
- 1995

- R. E. Kalman, R. W. Koepcke
- IRE-AIEE-ACM '59 (Western)
- 1959

Along with the increasing availability of high-speed, large-storage digital computers, there has been growing interest in their utilization for real-time control purposes. A typical problem in this connection and one of long-standing interest is the optimal static and dynamic operation of chemical reactors. To our knowledge, no digital computer is being… (More)