Results 261 to 270 of about 1,170,217 (311)

Stability and Stabilizability

2002
This chapter is devoted to the study of the stability and the stabilizability of linear time invariant systems with time delay using the Lyapunov method and linear matrix inequality (see Appendix A). For this purpose, let us consider the following linear continuous-time system with time delay: $$ \left\{ \begin{gathered} \dot x(t) = Ax(t) + \Sigma ...
El-Kébir Boukas, Zi-Kuan Liu
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Relaxed Quadratic Stabilizability Criteria

1992 American Control Conference, 1992
The present paper points out that a well-known quadratic stabilizability condition of uncertain linear systems can be generalized by relaxing the positive definiteness constraint on the quadratic Lyapunov function. This result yields a simple criterion which is useful to preserve the quadratic stabilizability of the target system.
Hideki Kokame, Takehiro Mori
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Feedback stabilizability in Hilbert Spaces

Applied Mathematics & Optimization, 1977
This paper is divided in four sections. In the first one, we recall the main notions related to the infinite dimensional control system such as the controllability and stability notions. The second section is devoted to a brief survey of the literature relevant to this paper.
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Stability, Stabilizability, and Detectability

1995
One of the most important aspects of systems theory is that of stability and the design of feedback controls to stabilize or to enhance stability. In this chapter, by stability we mean exponential stability.
Ruth F. Curtain, Hans Zwart
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Stability and stabilizability

2008
In this chapter stable linear systems are characterized in terms of associated characteristic polynomials and Liapunov equations. A proof of the Routh theorem on stable polynomials is given as well as a complete description of completely stabilizable systems. Luenberger’s observer is introduced and used to illustrate the concept of detectability.
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Sign stabilizability

22nd Mediterranean Conference on Control and Automation, 2014
Hartung, Christoph, Svaricek, Ferdinand
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OPEN LOOP STABILIZABILITY, A RESEARCH NOTE

IFAC Proceedings Volumes, 1989
Abstract In this paper we study the stability of the infinite-dimensional system ẋ=Ax+bu, with an one dimensional input operator. The main result is that if this system is open loop stabilizable i.e. x (.) is square integrable for some u(.), then the unstable part of the point spectrum of A consists of only point-spectrum with finite ...
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Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results

IEEE Transactions on Automatic Control, 2009
Hai Lin, P. Antsaklis
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Perspectives and results on the stability and stabilizability of hybrid systems

Proceedings of the IEEE, 2000
R. Decarlo, M. Branicky, S. Pettersson, B. Lennartson   +3 more
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Asymptotic Controllability and Robust Asymptotic Stabilizability

SIAM Journal on Control and Optimization, 2001
Summary: This paper deals with asymptotically controllable systems for which there exists no smooth stabilizing state feedback. To investigate the robustness asymptotic stabilization property, a new class of hybrid feedbacks (with a continuous component and a discrete one) is introduced: the hybrid patchy feedbacks.
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