Zobrazeno 1 - 10
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pro vyhledávání: '"Ruth F. Curtain"'
Autor:
George Weiss, Ruth F. Curtain
Publikováno v:
Mathematical control and related fields, 9(4), 643-671. AMER INST MATHEMATICAL SCIENCES-AIMS
The plant to be stabilized is a system node $\Sigma$ with generating triple $(A,B,C)$ and transfer function $\bf G$, where $A$ generates a contraction semigroup on the Hilbert space $X$. The control and observation operators $B$ and $C$ may be unboun
Autor:
Hans Zwart, Ruth F. Curtain
Publikováno v:
Introduction to Infinite-Dimensional Systems Theory ISBN: 9781071605882
For the state linear system as introduced in Chap. 6, two input-output maps are introduced. The first is in time domain, and writes the output y as a convolution of the input with the impulse response. The second one is the transfer function, which i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ba271e64a18008d65125312302c6be2
https://doi.org/10.1007/978-1-0716-0590-5_7
https://doi.org/10.1007/978-1-0716-0590-5_7
Autor:
Ruth F. Curtain, Hans Zwart
Publikováno v:
Introduction to Infinite-Dimensional Systems Theory ISBN: 9781071605882
In this chapter the system differential equation \(\dot{z}(t) = A z(t) + B u(t)\), \(y(t) = C z(t) + D u(t)\) is introduced. For this state linear system the concepts of controllability and observability are defined, and it shown that there are diffe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9400f0555cc44a1490234efca5965bf3
https://doi.org/10.1007/978-1-0716-0590-5_6
https://doi.org/10.1007/978-1-0716-0590-5_6
Autor:
Hans Zwart, Ruth F. Curtain
Publikováno v:
Introduction to Infinite-Dimensional Systems Theory ISBN: 9781071605882
One of the most important concepts of systems theory is that of stabilizability and its dual concept detectability. We characterise when a system with finitely many inputs is stabilizable. Additionally, we present tests for the stabilizability/detect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f367eee0499f16060ee11cacc7facd95
https://doi.org/10.1007/978-1-0716-0590-5_8
https://doi.org/10.1007/978-1-0716-0590-5_8
Autor:
Ruth F. Curtain, Hans Zwart
Publikováno v:
Introduction to Infinite-Dimensional Systems Theory ISBN: 9781071605882
In the previous chapter we treated linear systems. In this chapter we study the semilinear differential equation \(\dot{z}(t) = A z(t) + f(z(t))\), with A the infinitesimal generator of strongly continuous semigroup. We do this for two cases, the fir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56b53ebd8e520985dc30fb2e82153c38
https://doi.org/10.1007/978-1-0716-0590-5_11
https://doi.org/10.1007/978-1-0716-0590-5_11
Autor:
Hans Zwart, Ruth F. Curtain
Publikováno v:
Introduction to Infinite-Dimensional Systems Theory ISBN: 9781071605882
The general concept of strongly continuous semigroup was introduced in the previous chapter. In this chapter we focus on examples. This is done by studying three main classes, namely spatially invariant operators, Riesz-spectral operators, and delay
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28818c62386874c26f02cb1182cd3e7e
https://doi.org/10.1007/978-1-0716-0590-5_3
https://doi.org/10.1007/978-1-0716-0590-5_3
Autor:
Hans Zwart, Ruth F. Curtain
Publikováno v:
Systems and control letters, 96, 11-14. Elsevier
Systems & Control Letters, 96, 11-14. ELSEVIER SCIENCE BV
Systems and Control Letters, 96, 11-14. Elsevier
Systems & Control Letters, 96, 11-14. ELSEVIER SCIENCE BV
Systems and Control Letters, 96, 11-14. Elsevier
We design control laws for a class of dissipative infinite-dimensional systems using nonlinear boundary control action. The applications are to saturated control of SCOLE-type models.
Autor:
Ruth F. Curtain
Publikováno v:
IEEE Transactions on Automatic Control. 60:383-392
In this paper, we derive new readily testable criteria for exponential stabilizability, approximate controllability, and exact controllability for multiplicative systems arising from linear partial differential equations on an infinite domain. These
Autor:
Ruth F. Curtain
Publikováno v:
SIAM Journal on Control and Optimization. 51:3351-3354
This paper contains corrections to [R. Curtain, SIAM J. Control Optim., 49 (2011), pp. 2542--2557]. While all claims remain valid, and the proof for the linear quadratic Riccati equations is correct, this proof does not cover the positive-real and bo
Autor:
Ruth F. Curtain
Publikováno v:
Indagationes mathematicae-New series, 23(4), 701-714. ELSEVIER SCIENCE BV
This is a survey of recent results on the classical problems of the analytic properties of Riccati equations and algebraic properties of Riccati equations and applications to spatially distributed systems. (c) 2012 Royal Dutch Mathematical Society (K