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Linear Nonisothermal Stability Studies
Journal of Pharmaceutical Sciences, 1968A method for evaluation and utilization of data from linear nonisothermal kinetics has been developed. The studies have yielded energy of activation, reaction rate, and stability predictions from a single experiment. The relatively short length of time needed to complete a study and the comparatively few analytical experiments required present a ...
M A, Zoglio +6 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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Journal of Mathematical Physics, 1987
It is shown that Einstein’s equations are always linearization stable around any finite region of space-time. Let (Ω,g0ab ) be any region of space-time, admitting a compact Cauchy surface with nonempty smooth boundary, and with g0ab a sufficiently smooth solution of the vacuum Einstein equation.
Brill, D., Reula, O., Schmidt, B.
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It is shown that Einstein’s equations are always linearization stable around any finite region of space-time. Let (Ω,g0ab ) be any region of space-time, admitting a compact Cauchy surface with nonempty smooth boundary, and with g0ab a sufficiently smooth solution of the vacuum Einstein equation.
Brill, D., Reula, O., Schmidt, B.
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Journal of Applied Mechanics, 1977
A theoretical investigation into the linear, spatial stability of plane laminar jets is presented. The three cases studied are: 1. Inviscid stability of Sato’s velocity profile. 2. Viscous stability of the Bickley’s jet using parallel-flow stability theory. 3.
Bajaj, A. K., Garg, V. K.
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A theoretical investigation into the linear, spatial stability of plane laminar jets is presented. The three cases studied are: 1. Inviscid stability of Sato’s velocity profile. 2. Viscous stability of the Bickley’s jet using parallel-flow stability theory. 3.
Bajaj, A. K., Garg, V. K.
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Stability Constants in Linear Spaces
Constructive Approximation, 2010Let \(X\) be a linear space over the reals, \(D\subset X,\) and let \(E\) be a Banach space. A function \(f:D\to E\) is said to be \(\delta\)-Jensen if \[ \left\| f\left(\frac{x+y}{2}\right)-\frac{f(x)+f(y)}{2}\right\|\leq\delta \] whenever \(x,y,(x+y)/2\in D.\) The stability constant for Jensen equation is the infimum of those constants \(C\) for ...
Laczkovich, M., Paulin, R.
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Stabilization of Uncertain Linear Systems [PDF]
, 1991 Feedback stabilization of linear, uncertain systems is usually analyzed using quadratic Lyapunov functions that are common to all values in the uncertainty set. In this paper we use the alternative classical concept of Laypunov exponents to characterize the precise (exponential) stability regions for systems with contrained linear output feedback.
Colonius, Fritz, Kliemann, Wolfgang
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