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International Journal of Control Volume 59, 1994 - Issue 2
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Original Articles

On some structures of stabilizing control laws for linear and time-invariant systems with bounded point delays and unmeasurable states

M. DE LA SEN Department de Electricidad y Electrónica, Facultad de Ciencias, Universidad del Pais Vasco, Leioa (Bizkaia)-Aptdo, de Bilbao, 644, Spain
Pages 529-541 | Received 10 Jul 1992, Published online: 11 Aug 2011

Citations (33)

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M. De La Sen & R. Barcena . (2004) Stability results for point time-delay systems obtained via rouche's theorem. Applicable Analysis 83:2, pages 157-183.
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Articles from other publishers (32)

Manuel De la Sen. (2022) On the Stabilization through Linear Output Feedback of a Class of Linear Hybrid Time-Varying Systems with Coupled Continuous/Discrete and Delayed Dynamics with Eventually Unbounded Delay. Mathematics 10:9, pages 1424.
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Manuel De la Sen, Santiago Alonso-Quesada, Asier Ibeas & Raul Nistal. (2021) On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible. Vaccines 9:4, pages 398.
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Pradosh Ranjan Sahoo & Sandip Ghosh. (2020) On computing critical delay for fixed mode radius: Centralized and decentralized control. Systems & Control Letters 138, pages 104647.
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Mutti-Ur Rehman & Jehad Alzabut. (2020) On Instability Analysis of Linear Feedback Systems. Computation 8:1, pages 16.
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Huan Dai, Yuying Liu & Junjie Wei. (2020) Stability analysis and Hopf bifurcation in a diffusive epidemic model with two delays. Mathematical Biosciences and Engineering 17:4, pages 4127-4146.
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Mahmood Dadkhah, Mohammad Hadi Farahi & Aghileh Heydari. (2016) Numerical solution of time delay optimal control problems by hybrid of block-pulse functions and Bernstein polynomials. IMA Journal of Mathematical Control and Information, pages dnw057.
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L.B. Xie, L.S. Shieh, J.S.H. Tsai, C.Y. Wu & J.J. Park. (2016) Digital and analog integer delayed modeling and control for multivariable systems with multiple time delays in states, inputs and outputs. Applied Mathematical Modelling 40:2, pages 1615-1633.
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M. De la Sen, S. Alonso-Quesada & A. Ibeas. (2015) On the stability of an SEIR epidemic model with distributed time-delay and a general class of feedback vaccination rules. Applied Mathematics and Computation 270, pages 953-976.
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M. De la Sen. (2015) On contractive and convergence properties of a class of truncated operators represented through Schauder bases with applications. Indagationes Mathematicae 26:2, pages 431-444.
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M. De la Sen. (2015) Hyers-Ulam-Rassias Stability of Functional Differential Systems with Point and Distributed Delays. Discrete Dynamics in Nature and Society 2015, pages 1-10.
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Manuel De la Sen & Asier Ibeas. (2014) Properties of convergence of a class of iterative processes generated by sequences of self-mappings with applications to switched dynamic systems. Journal of Inequalities and Applications 2014:1.
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Manuel De la Sen & Asier Ibeas. (2014) Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability. Abstract and Applied Analysis 2014, pages 1-13.
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M. De la Sen. (2013) On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations. Abstract and Applied Analysis 2013, pages 1-14.
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Bing Liu, Ling Xu & Baolin Kang. (2013) Dynamics of a Stage Structured Pest Control Model in a Polluted Environment with Pulse Pollution Input. Journal of Applied Mathematics 2013, pages 1-8.
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M. De la Sen & J.C. Soto. (2012) On a sampling criterion -induced oscillatory behaviour. On a sampling criterion -induced oscillatory behaviour.
Ming Lei, Shao-lei Zhou, Xiu-xia Yang & Gao-yang Yin. (2012) Complex Formation Control of Large-Scale Intelligent Autonomous Vehicles. Mathematical Problems in Engineering 2012, pages 1-19.
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M. De la Sen, S. Alonso-Quesada, R. Nistal & A. Ibeas. (2011) On the equilibrium points, boundedness and positivity of a SVEIRS epidemic model under constant regular vaccination. On the equilibrium points, boundedness and positivity of a SVEIRS epidemic model under constant regular vaccination.
M. De la Sen & A. Ibeas. (2010) Basics on stabilization of discrete switched systems. Basics on stabilization of discrete switched systems.
M. De la Sen. (2009) Stability analysis for point delay fractional description models via linear matrix inequalities. Nonlinear Analysis: Theory, Methods & Applications 71:12, pages e309-e318.
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M. De la Sen. (2009) Robust adaptive control of linear time-delay systems with point time-varying delays via multiestimation. Applied Mathematical Modelling 33:2, pages 959-977.
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M. de la Sen. (2008) Stability of Delayed Systems Modeled by Fractional Models. Stability of Delayed Systems Modeled by Fractional Models.
M. De la Sen. (2008) Robust stability analysis and dynamic gain-scheduled controller design for point time-delay systems with parametrical uncertainties. Communications in Nonlinear Science and Numerical Simulation 13:6, pages 1131-1156.
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M. De la Sen. (2007) About global asymptotic stability of dynamic systems with time lags and uncertainties within polytopes. Engineering Computations 24:6, pages 564-571.
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M. De la Sen. (2006) Asymptotic hyperstability under unstructured and structured modeling deviations from the linear behavior. Nonlinear Analysis: Real World Applications 7:2, pages 248-264.
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M. De La Sen. (2006) Stabilization criteria for continuous linear time-invariant systems with constant lags. Discrete Dynamics in Nature and Society 2006, pages 1-19.
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M. De la Sen & S. Alonso. (2006) Adaptive control of time-invariant systems with discrete delays subject to multiestimation. Discrete Dynamics in Nature and Society 2006, pages 1-27.
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M. de la Sen. (2004) Pole placement controllers for linear time-delay systems with commensurate point delays. Analysis in Theory and Applications 20:4, pages 358-372.
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M. De la Sen & C.F. Alastruey. (2004) Stability results for two classes of linear time‐delay and hybrid systems. Engineering Computations 21:7, pages 718-735.
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M. De la Sen & C.F. Alastruey. (2000) Stability tests for two common classes of linear time-delay and hybrid systems. Stability tests for two common classes of linear time-delay and hybrid systems.
M. De la Sen. (2000) Allocation of poles of delayed systems related to those associated with their undelayed counterparts. Electronics Letters 36:4, pages 373.
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M. Sen. (1997) Linear control systems with time-lag: Controllability and local parametrical identifiability with extensions in Pre-Hilbert spaces. Analysis in Theory and Applications 13:1, pages 80-101.
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C.F. Alastruey, M. De La Sen & J.R.González De Mendívil. (1995) The stabilizability of integro-differential systems with two distributed delays. Mathematical and Computer Modelling 21:8, pages 85-94.
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