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Artstein, Zvi

Uniform controllability via the limiting systems. (English) Zbl 0507.93012

Appl. Math. Optimization 9, 111-131 (1982).
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scan of Zbl 0507.93012

Cited in 5 Documents

MSC:

93B05 Controllability
93C99 Model systems in control theory
93B03 Attainable sets, reachability

Keywords:

uniform controllability; limiting systems

Citations:

Zbl 0212.292
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Full Text: DOI

References:

[1] Anderson BDO, Moore JB [1971] Linear optimal control. Prentice-Hall, Englewood Cliffs
[2] Anderson BDO, Silverman LM [1967] Uniform complete controllability for time-varying systems. IEEE Trans Autom Control, AC-12:790-791
[3] Artstein Z [1978] Relaxed controls and the dynamics of control systems. SIAM J Control Optimization 16:689-701 · Zbl 0411.93011 · doi:10.1137/0316045
[4] Artstein Z, Schechtman G [Preprint] Positive definite forms generated by integrals and weak limits. J Math Anal Appl (to appear) · Zbl 0541.46037
[5] Brockett RW [1970] Finite dimensional linear systems. John Wiley, New York · Zbl 0216.27401
[6] Conti R [1976] Linear differential equations and control. Academic Press, London · Zbl 0356.34007
[7] D’angelo H [1970] Linear time-varying systems: Analysis and synthesis. Allyn and Bacon, Boston
[8] Hermes H, LaSalle JP [1969] Functional analysis and time optimal control. Academic Press, New York · Zbl 0203.47504
[9] Kalman RE [1960] Contributions to the theory of optimal control. Bol Soc Mat Mexicana 5:102-119
[10] Miller RK, Sell GR [1976] Topological dynamics and its relations to integral equations and nonautonomous systems. In: Cesari, Hale, LaSalle (eds) Dynamical systems, an international symposium, vol I. Academic Press, New York, pp 223-249
[11] Rudin W [1973] Functional Analysis. McGraw-Hill, New York
[12] Russell DL [1979] Mathematics of finite-dimensional control systems. Marcel Dekker, New York
[13] Sell GR [1971] Lectures on topological dynamics and differential equations. Van Nostrand-Reinhold, London · Zbl 0212.29202
[14] Silverman LM [1969] Asymptotic controllability. IEEE Trans Autom Control, AC-14:78-80
[15] Silverman LM, Anderson BDO [1968] Controllability, observability and stability of linear systems. SIAM J Control 6:121-130 · Zbl 0157.15803 · doi:10.1137/0306010
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