Results 111 to 120 of about 3,566,556 (147)
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On Stability of a Dynamical System
SIAM Journal on Mathematical Analysis, 1995This paper solves an open problem raised by \textit{E. C. Zeeman} [Nonlinearity 1, 115-155 (1988; Zbl 0643.58005)]. It extends his results about the stability of a dynamical system from \(C^ \infty\)-vector fields to \(C^ m\)-vector fields \((1 \leq m \leq \infty)\).
Lin, Charles S. C. +2 more
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Stabilization of Linear Systems
SIAM Journal on Control, 1972Summary: This paper considers a finite-dimensional linear time-varying system and is concerned with the question: What is the relation between controllability properties of the system and various degrees of stability of the closed loop system resulting from linear feedback of the state variable? The main results are as follows: For any initial time to,
Ikeda, M., Maeda, H., Kodama, S.
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1996
Hybrid systems combine discrete and continuous behavior. We study properties of trajectories of a rectangular hybrid system in which the discrete state goes through a loop. This system is viable if there exists an infinite trajectory starting from some state. We show that the system is viable if and only if it has a limit cycle or fixed point.
Mikhail Kourjanski, Pravin Varaiya
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Hybrid systems combine discrete and continuous behavior. We study properties of trajectories of a rectangular hybrid system in which the discrete state goes through a loop. This system is viable if there exists an infinite trajectory starting from some state. We show that the system is viable if and only if it has a limit cycle or fixed point.
Mikhail Kourjanski, Pravin Varaiya
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On the Stability of Interconnected Systems*
Bell System Technical Journal, 1978Theorems are presented concerning conditions for the input-output stability of interconnected dynamical systems. Results in the area of input-output stability are often partitioned into two categories: small-gain type-results and passivity-type results.
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Practical stability and stabilization of hybrid and switched systems
IEEE Transactions on Automatic Control, 2004In this paper, practical stability and stabilization problems for hybrid and switched systems are studied. We formally introduce the notions of e-practical stability and practical stabilizability. The main results of the paper include a direct method for the e-practical stability analysis of hybrid systems and sufficient conditions for the practical ...
Xuping Xu, Guisheng Zhai
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The system with local stabilities.
1960Having examined what is meant by a system that has ‘partial, fluctuating, and temporary independencies within the whole’ we can now consider some of the properties that a system of such a type will show in its behaviour.
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Biosystems, 1984
We use the May-Wigner Stability Theorem (Geman (1984) preprint, Brown University; Hastings (1984) preprint, Hofstra University), to study the Lyapunov and structural stability of "real" large systems. Here are our new main results. For large systems which satisfy certain natural scaling relations (Harrison, Am.
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We use the May-Wigner Stability Theorem (Geman (1984) preprint, Brown University; Hastings (1984) preprint, Hofstra University), to study the Lyapunov and structural stability of "real" large systems. Here are our new main results. For large systems which satisfy certain natural scaling relations (Harrison, Am.
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Stability of commensalistic systems
Biotechnology and Bioengineering, 1974AbstractThe response of two‐species commensalistic systems in a chemostat has been investigated after perturbations in steady state conditions and after step changes in dilution rate. The system is inherently stable with not more than three overshoots and undershoots possible.
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Journal of Applied Mechanics, 1983
It is shown how stability theory of dynamic systems, emerging from various beginnings strewn over the realm of mechanics, developed into a unified, comprehensive theory for dynamic systems with a finite number of degrees of freedom. It is then demonstrated, how such theory could be adapted over the last five decades to the specific nature of stability ...
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It is shown how stability theory of dynamic systems, emerging from various beginnings strewn over the realm of mechanics, developed into a unified, comprehensive theory for dynamic systems with a finite number of degrees of freedom. It is then demonstrated, how such theory could be adapted over the last five decades to the specific nature of stability ...
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Interconnected Systems: Stability and Stabilization
2000This chapter discusses various applications of dynamical systems in which diagonally stable structures can be used advantageously. These examples are in the area of stability and stabilization of interval systems, introduced in Chapter 3, and of stability of interconnected systems, also known as large scale systems.
Eugenius Kaszkurewicz, Amit Bhaya
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