Results 151 to 160 of about 1,646,122 (192)

Robust quadratic stabilization

1997
In this chapter, a robust control design based on the quadratic approach was presented. The performance requirements are considered following two different paths. The first one consists of locating the closed-loop system poles in a disk, the parameters defining the disk (centre and radius) being chosen in a way that ensured good transient behaviour.
Germain Garcia, Jacques Bernussou, Jamal Daafouz, Denis Arzelier   +3 more
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Robust lp Stability and Performance

IFAC Proceedings Volumes, 1995
Abstract In this paper we study robust stability, in the lp sense, against structured perturbations of bounded lp norm. The perturbations may be either linear time-varying, nonlinear time-varying, or nonlinear time-invariant. We develop exact tests for robust stability for each case in terms of convex optimization problems. These results are extended
Peter M. Young, Munther A. Dahleh
openaire   +1 more source

Robust D-stability via positivity

Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 1998
The authors approach the problem of robust \(D\)-stability of a complex polynomial by converting it to positivity in the real domain of the magnitude function. In this way the stability test can be performed by means of the Bernstein subdivision algorithm which requires only real arithmetic.
Šiljak, D. D., Stipanović, D. M.
openaire   +2 more sources

Robust Stochastic Stability

2017
This chapter investigates the robust output feedback \(H_{\infty }\) control for a class of uncertain Markovian jump linear systems with mode-dependent time-varying time delays. With known bounds of the system uncertainties and the control gain variations, we develop the sufficient conditions to guarantee the robust stochastic stability and the ...
Yu Kang, Yun-Bo Zhao, Ping Zhao
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Robust Self-stabilizing Clustering Algorithm

2006
Ad hoc networks consist of wireless hosts that communicate with each other in the absence of a fixed infrastructure. Such networks cannot rely on centralized and organized network management. The clustering problem consists in partitioning network nodes into groups called clusters, giving a hierarchical organization of the network.
Johnen, Colette, Nguyen, Le Huy
openaire   +1 more source

Robust stability via polyhedral Lyapunov functions

2009 American Control Conference, 2009
In this paper we study the robustness analysis problem for linear continuous-time systems subject to parametric time-varying uncertainties making use of piecewise linear (polyhedral) Lyapunov functions. A given class of Lyapunov functions is said to be “universal” for the uncertain system under consideration if the search of a Lyapunov function that ...
Amato, F., Ambrosino, R., Ariola, M.
openaire   +3 more sources

D-partition and robust stability

Computational Mathematics and Modeling, 1998
This paper reviews some of the author's results about the following problem. Consider an equation of the form \[ \chi(z,a_1,\dots, a_m)= 0\tag{1} \] in the complex plane, where \(a_1,\dots, a_m\) are parameters. Let \(D(0)\) be the region of the parameter space for which all the solutions of (1) lie in a preassigned region \(G\) of the complex plane ...
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Robust stability: parameter-dependent perturbations

International Journal of Control, 1983
Conditions for a system to be robustly stable with respect to a set of perturbations, parametrized by possibly uncertain parameters, are given in terms of some ‘worst-case’ estimates of the perturbations. Making use of the Hadamard product of matrices, a new way of formulating perturbations is introduced. The advantage of representing the perturbations
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Robust Stability Criterion and Design of Optimal Robust Systems

Journal of Computer and Systems Sciences International, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stability preserving maps and robust stabilization

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 2002
The notion of a stability preserving map can be defined in a number of ways. In this paper we introduce one such definition and then demonstrate its impact on the problem of robust controller synthesis. Specifically, we show that the concept of a stability preserving map can be used to provide a different characterization of the existence of a fixed ...
openaire   +1 more source