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International Journal of Control Volume 24, 1976 - Issue 6
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Original Articles

Controllability of linear systems with time-variable delays in control

JERZY KLAMKA Department of Control and Information Engineering, Silesian Poiyteclmical Institute, Gliwice, Poland
Pages 869-878 | Received 14 Nov 1975, Published online: 24 Oct 2007

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Abdul Haq & N. Sukavanam. (2021) Mild Solution and Approximate Controllability of Retarded Semilinear Systems with Control Delays and Nonlocal Conditions. Numerical Functional Analysis and Optimization 42:6, pages 721-737.
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Abdul Haq & N. Sukavanam. (2020) Controllability of second-order nonlocal retarded semilinear systems with delay in control. Applicable Analysis 99:16, pages 2741-2754.
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Jerzy Stefan Respondek . (2008) Approximate controllability of the -th order infinite dimensional systems with controls delayed by the control devices. International Journal of Systems Science 39:8, pages 765-782.
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JERZY KLAMKA. (1977) On the controllability of linear systems with delays in the control. International Journal of Control 25:6, pages 875-883.
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Articles from other publishers (19)

Irshad Ahmad, Saeed Ahmad, Ghaus ur Rahman, Yeliz Karaca & Mati ur Rahman. (2023) Pantographic formulation of a nonlinear system of fractional order with delays and examination of its controllability. The European Physical Journal Special Topics 232:14-15, pages 2619-2627.
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Arumugam Vinodkumar & Senthilkumar Hemalatha. (2023) Results on relative controllability for nonlinear system with multi‐delays in control. Mathematical Methods in the Applied Sciences.
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Salma Souhaile & Larbi Afifi. (2023) Optimal energy compensation for disturbed systems with time-varying delays. International Journal of Dynamics and Control.
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Abdul Haq. (2022) Existence and controllability of second‐order nonlinear retarded integro‐differential systems with multiple delays in control. Asian Journal of Control 25:1, pages 623-628.
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Maosong Yang, Michal Fečkan & JinRong Wang. (2022) Relative Controllability for Delayed Linear Discrete System with Second-Order Differences. Qualitative Theory of Dynamical Systems 21:4.
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Abdul Haq & N. Sukavanam. (2021) Mild Solution and Approximate Controllability of Second-Order Retarded Systems with Control Delays and Nonlocal Conditions. Bulletin of the Iranian Mathematical Society 48:2, pages 447-464.
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Oscar Camacho & Hugo Leiva. (2019) Impulsive semilinear heat equation with delay in control and in state. Asian Journal of Control 22:3, pages 1075-1089.
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J. Diblík, H. Halfarová & J. Šafařík. (2019) Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis. Applied Mathematics and Computation 358, pages 363-381.
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Vijayakumar S Muni & Raju K George. (2019) Controllability of semilinear impulsive control systems with multiple time delays in control. IMA Journal of Mathematical Control and Information 36:3, pages 869-899.
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Josef Diblik. (2019) Relative and Trajectory Controllability of Linear Discrete Systems With Constant Coefficients and a Single Delay. IEEE Transactions on Automatic Control 64:5, pages 2158-2165.
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S. Karthikeyan, M. Sathya & K. Balachandran. (2017) Controllability of semilinear stochastic delay systems with distributed delays in control. Mathematics of Control, Signals, and Systems 29:4.
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Rajagopal Joice Nirmala & Krishnan Balachandran. (2017) The controllability of nonlinear implicit fractional delay dynamical systems. International Journal of Applied Mathematics and Computer Science 27:3, pages 501-513.
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Joice Nirmala Rajagopal. 2017. Theory and Applications of Non-integer Order Systems. Theory and Applications of Non-integer Order Systems 369 379 .
Krishnan Balachandran. 2017. Theory and Applications of Non-integer Order Systems. Theory and Applications of Non-integer Order Systems 321 332 .
Koichi Kobayashi & Kunihiko Hiraishi. (2014) An optimization-based approach to sampled-data control of networked control systems with multiple delays. Applied Mathematics and Computation 247, pages 786-794.
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Jerzy Respondek. (2008) Approximate Controllability of Infinite Dimensional Systems of the n-th Order. International Journal of Applied Mathematics and Computer Science 18:2, pages 199-212.
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J.P. Dauer, K. Balachandran & S.M. Anthoni. (1998) Null controllability of nonlinear infinite neutral systems with delays in control. Computers & Mathematics with Applications 36:2, pages 39-50.
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K. Balachandran & J.P. Dauer. (1996) Null controllability of nonlinear infinite delay systems with time varying multiple delays in control. Applied Mathematics Letters 9:3, pages 115-121.
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Z. Artstein. (1982) Linear systems with delayed controls: A reduction. IEEE Transactions on Automatic Control 27:4, pages 869-879.
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